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Hex/Quad Meshing

Papers related to hexahedral and quadrilateral finite element meshing

MESHING
RESEARCH
CORNER

Baehmann, Peggy L, Scott L. Wittchen, Mark S. Shephard, Kurt R. Grice and Mark A. Yerry

    "Robust, Geometrically Based, Automatic Two-Dimensional Mesh Generation", International Journal for Numerical Methods in Engineering, Wiley, Vol 24, pp.1043-1078, 1987
    keywords:
    • quadrilateral
    • quadtree
    • triangle
    Abstract


Balendran, Bala
    "A Direct Smoothing Method For Surface Meshes", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.189-193, October 1999
    keywords:
    • mesh smoothing
    • direct method
    • surface mesh
    • quadrilateral
    • triangular
    Abstract
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Banichuk N.V., F. J. Barthold, A. Falk and E. Stein
    "Mesh refinement for shape optimization", Structural Optimization, Springer-Verlag, Vol 9, pp.46-51, 1995
    keywords:
    • adaptivity
    • shape optimization
    • quadrilateral
    • refinement
    • error estimator
    Abstract


Barker, D.E. and S.A. Lantz
    "Automating Node And Element Assignments On Conforming Four-Sided Sections Defining A Domain For Mapping Quadrilateral Elements", Computers and Structures, Pergamon, Vol 62, Num 2, pp.373-380, 1997
    keywords:
    • interval assignment
    • mapped meshing
    • quadrilateral
    Abstract


Barlow, John
    "More On Optimal Stress Points-Reduced Integration, Element Distortions and Error Estimation", International Journal for Numerical Methods in Engineering, Wiley, Vol 28, pp.1487-1504, 1989
    keywords:
    • distortion metric
    • quality
    • error estimation
    • adaptivity
    • quadratic
    • isoparametric
    • quadrilateral
    • hexahedra
    Abstract


Benzley, Steven E., Ernest Perry, Karl Merkley, Brett Clark and Greg Sjaardema
    "A Comparison of All-Hexahedral and All-Tetrahedral Finite Element Meshes for Elastic and Elasto-Plastic Analysis", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.179-191, October 1995
    keywords:
    • error bounds
    • finite elements
    • hexahedron
    • tetrahedron
    Abstract
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Bern, Marshall and David Eppstein
    "Flipping Cubical Meshes", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.19-29, October 7-10 2001
    keywords:
    • quadrilateral
    • hexahedral
    • flip graph connectivity
    • mesh improvement
    • improvement
    • clean-up
    • topology improvement
    Abstract
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Bern, Marshall and David Eppstein
    "Quadrilateral Meshing by Circle Packing", Proceedings, 6th International meshing Roundtable, Sandia National Laboratories, pp.7-20, October 1997
    keywords:
    • bubble packing
    • quadrilateral
    • sphere packing
    • Voronoi diagram
    Abstract
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Blacker T.D. and Meyers R.J.
    "Seams and Wedges in Plastering:A 3D Hexahedral Mesh Generation Algorithm", Engineering with Computers, Springer Verlag, Vol 2, Num 9, pp.83-93, 1993
    keywords:
    • finite elements
    • hexahedron
    • mesh generation
    • plastering
    • three dimensional
    Abstract


Blacker T.D., M.B. Stephenson and S. Canann
    "Analysis automation with paving: A new quadrilateral meshing technique", Advances in Engineering Software, Elsevier, Vol 56, Num 13, pp.332-337, 1991
    keywords:
    • finite elements
    • paving
    • two-dimensional


Blacker, T. D., J. L. Mitchiner, L. R. Phillips, and Y. T. Lin
    "Knowledge System Approach to Automated Two-Dimensional Quadrilateral Mesh Generation", Computers in Engineering, ASME, Vol 3, pp.153-162, 1988
    keywords:
    • quadrilateral
    • transfinite mapping
    • primitive decomposition
    • knowledge system
    • mapped meshing
    Abstract


Blacker, Ted
    "The Cooper Tool", 5th International Meshing Roundtable, Sandia National Laboratories, pp.13-30, October 1996
    keywords:
    • cooper
    • hexahedron
    • mapped
    • sweeping
    Abstract
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Blacker, Ted
    "Meeting the Challenge for Automated Conformal Hexahedral Meshing", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.11-19, October 2000
    keywords:
    • hexahedra
    • overview
    Abstract
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Blacker, Ted D.
    "Paving: A New Approach To Automated Quadrilateral Mesh Generation", International Journal For Numerical Methods in Engineering, John Wiley, Num 32, pp.811-847, 1991
    keywords:
    • finite elements
    • paving
    Abstract


Blacker, Ted D.
    "An Adaptive Finite Element Technique Using Element Equilibrium and Paving", American Society of Mechanical Engineers, Annual Meeting Dallas Texas, November 25-30, 1990, ASME, Nov 1990
    keywords:
    • adaptivity
    • finite elements
    • paving


Blacker, Ted D. M.B. Stephenson, John L. Mithchener, Laurence R. Phillips, Yau T. Lin
    "Automated Quadrilateral Mesh Generation: A Knowledge System Approach", American Society of Mechanical Engineers Annual Meeting, Chicago, Illinois, November 27-December 2 1988, ASME, November 1988
    keywords:
    • finite elements
    • paving
    • two-dimensional


Bond, T. J., L. Y. Li,: P. Bettess, J. W. Bull and I. Applegarth
    "Adaptive Mesh Refinement for Shells with Modified Ahmad Elements", Computers and Structures, Pergammon, Vol 61, Num 6, pp.1135-1141, 1996
    keywords:
    • adaptivity
    • quadrilateral
    • refinement
    • surface meshing
    Abstract


Borden, Michael J.; Benzley, Steven E.; Shepherd, Jason
    "Mesh Cutting: Fitting Simple All-hexahedral Meshes to Complex Geometric Features", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.727-736, June 2002
    keywords:
    • all-hexahedral mesh
    • mesh cutting
    Abstract


Borden, Michael, Steven Benzley, Scott A. Mitchell, David R. White and Ray Meyers
    "The Cleave and Fill Tool: An All-Hexahedral Refinement Algorithm for Swept Meshes", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.69-76, October 2000
    keywords:
    • hexahedra
    • refinement
    • sweeping
    • cleave and fill
    Abstract
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Borouchaki, Houman and Pascal J. Frey
    "Adaptive Trangular-Quadrilateral Mesh Generation", International Journal for Numerical Methods in Engineering, Wiley, Vol 41, pp.915-934, 1998
    keywords:
    • adaptivity
    • anisotropy
    • Delaunay triangulation
    • indirect quad meshing
    • quadrilateral
    • Riemannian structure
    Abstract


Borouchaki, Houman, Pascal J. Frey and Paul Louis George
    "Unstructured Triangular-Quadrilateral Mesh Generation. Application to Surface Meshing.", 5th International Meshing Roundtable, Sandia National Laboratories, pp.229-242, October 1996
    keywords:
    • adaptivity
    • anisotropy
    • quadrilateral
    • surface meshing
    • triangle
    Abstract
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Borouchaki, Houman, Pascal Lafon, Patrick Laug and Paul-Louis George
    "Minimal Variational Surfaces and Quality Triangular Meshes", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.217-225, October 2000
    keywords:
    • minimal variational surfaces
    • quality meshes
    • equilateral meshes
    • regular meshes
    • adaptivity
    • convex quadratic optimization
    • optimization
    • surface meshing
    • size map
    Abstract
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Brakhage, Karl-Heinz
    "High Quality Mesh Generation and Sparse Representation Using B-Splines", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.753-762, September 2000
    keywords:
    • algebraic
    • B-Splines
    • Coons patches
    • Gordon method
    • hexahedral mesh
    • quality
    Abstract


Bunin, Guy
    "Non-Local Topological Clean-Up", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.3-20, September 17-20 2006
    keywords:
    • topology operators
    • quadrilaterals
    • quad clean-up
    Abstract
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Calvo, N. A.; Idelsohn, S. R.
    "All-hexahedral mesh smoothing with a node-based measure of quality", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 50, Num 8, pp.1957-1967, March 2001
    keywords:
    • all-hexahedral mesh
    • hexahedral mesh
    • Jacobian metric
    • smoothing
    • unstructured mesh
    Abstract


Calvo, Nestor A. and Sergio R. Idelsohn
    "All-hexahedral element meshing: Generation of the dual mesh by recurrent subdivision", Computer methods in applied mechanics and engineering, Elsevier, Vol 182, pp.371-378, 2000
    keywords:
    • hexahedra
    • non-structured
    • dual
    • STC
    Abstract


Calvo, Nestor A.; Idelsohn, Sergio R.
    "All-hexahedral element meshing: automatic elimination of self-intersecting dual lines", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 55, Num 12, pp.1439-1449, December 2002
    keywords:
    • 3D meshing
    • all-hexahedral
    • dual
    • self-intersections
    • unstructured mesh
    Abstract


Canann Scott A., Micheal B. Stephenson and Ted Blacker
    "Optismoothing: An optimization-driven approach to mesh smoothing", Finite Elements in Analysis and Design, Elsevier Science Publishers, Num 13, pp.185-190, 1993
    keywords:
    • finite elements
    • hexahedron
    • optimization
    • smoothing
    • three-dimensional


Canann, S.A., S.N. Muthukrishnan and R.K. Phillips
    "Topological Improvement Procedures for Quadrilateral Finite Element Meshes", MSC.PDA, 1994
    keywords:
    • clean-up
    • finite elements
    • quadrilateral
    • quality
    • refinement


Canann, Scott A., Joseph R. Tristano, Matthew L. Staten
    "An Approach to Combined Laplacian and Optimization-Based Smoothing for Triangular, Quadrilateral, and Quad-Dominant Meshes", 7th International Meshing Roundtable, Sandia National Labs, pp.479-494, October 1998
    keywords:
    • smoothing
    • Laplacian smoothing
    • optimization-based smoothing
    • triangle
    • quadrilateral
    • metric
    Abstract
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Carbonera, Carlos D. and Jason F. Shepherd
    "A Constructive Approach to Constrained Hexahedral Mesh Generation", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.435-452, September 17-20 2006
    keywords:
    • hexahedra
    • STC
    • Schneider’s pyramid
    • constrained hexahedral meshing
    Abstract
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Cass, Roger J.
    "Generalized 3D Paving: An Automated Quadrilateral Surface Mesh Generation Algorithm", International Journal For Numerical Methods In Engineering, John Wiley & Sons, Vol 39, pp.1475-1489, 1996
    keywords:
    • clean-up
    • density function
    • finite elements
    • paving
    • surface mesh
    Abstract


Chae, Soo-Won and Jung-Hwan Jeong
    "Unstructured Surface Meshing Using Operators", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.281-291, October 1997
    keywords:
    • quadrilateral
    • surface
    Abstract
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Chen, Zhijian, Joseph R. Tristano and Wa Kwok
    "Combined Laplacian and optimization-based smoothing for quadratic mixed surface meshes", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.201-213, Sept. 2003
    keywords:
    • smoothing
    • optimization-based smoothing
    • constrained-Laplacian smoothing
    • smoothing objective function
    • surface meshing
    • smoothing quadratic elements
    Abstract
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Cheng, B. and B. H. V. Topping
    "Improved adaptive quadrilateral mesh generation using fission elements", Advances in Engineering Software, Elsevier, Vol 29, Num 7, pp.733-744, 1998
    keywords:
    • adaptivity
    • fission elements
    • quadrilateral
    Abstract


Cheng, Gengdong and Hua Li
    "New Method for Graded Mesh Generation of Quadrilateral Finite Elements", Computers and Structures, Pergammon, Vol 59, Num 5, pp.823-829, 1996
    keywords:
    • quadrilateral
    • mapped meshing
    • set theory
    • templates
    • geometry decomposition
    Abstract


Cheng, J.H., P.M. Finnigan, A.F. Hathaway, A. Kela, W.J. Schroeder
    "Quadtree/Octree Meshing with Adaptive Analysis", Numerical Grid Generation in Computational Fluid Mechanics `88, Pineridge Press, pp.633-642, 1988
    keywords:
    • octree
    • quadtree
    • adaptivity
    • Delaunay
    • triangle
    • tetrahedra
    Abstract


Chiba, N., I. Nishigaki, Y. Yamashita, C. Takizawa, K. Fujishiro
    "An Automatic Hexahedral Mesh Generation System Based on the Shape-Recognition and Boundary-Fit Methods", 5th International Meshing Roundtable, Sandia National Laboratories, pp.281-290, October 1996
    keywords:
    • boundary fit
    • decomposition
    • hexahedron
    • mapping
    • shape recognition
    • sweeping
    Abstract
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Chiba, N., I. Nishigaki, Y. Yamashita, C. Takizawa, K. Fujishiro
    "A flexible automatic hexahedral mesh generation by boundary-fit method", Computer Methods in Applied Mechanics and Engineering, Elsevier, Vol 161, pp.145-154, 1998
    keywords:
    • hexahedra
    • boundary-fit
    • shape recognition
    • decomposition
    • mapped meshing
    Abstract


Cifuentes, A.O. and A. Kalbag
    "A Performance Study of Tetrahedral and Hexahedral Elements In 3-D Finite Element Structural Analysis", Finite Elements in Analysis and Design, Elsevier, Vol 12, pp.313-318, 1992
    keywords:
    • comparison
    • hexahedra
    • performance
    • tetrahedra
    Abstract


Clark, Brett W. and Steven E. Benzley
    "Development and evaluation of a degenerate seven-node hexahedron finite element", 5th International Meshing Roundtable, Sandia National Laboratories, pp.321-332, October 1996
    keywords:
    • hexahedron
    • knife element
    Abstract
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Clements, Jan C., Ted D. Blacker, Steven E. Benzley
    "Automated Mesh Generation in Boundary Layer Regions Using Special Elements", AMD-Vol. 220 Trends in Unstructured Mesh Generation, ASME, pp.137-143, July 1997
    keywords:
    • boundary layer
    • CFD
    • hexahedra
    • paving
    • quadrilateral
    Abstract


Cook, W.A. and W.R. Oakes
    "Mapping Methods for Generating Three-Dimensional Meshes", Computers In Mechanical Engineering, CIME Research Supplement, pp.67-72, August 1982
    keywords:
    • hexahedron
    • mapped
    • quadrilateral
    Abstract


D'Azevedo, E. F.
    "On Adaptive Mesh Generation in Two Dimensions", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.109-117, October 1999
    keywords:
    • adaptivity
    • triangle
    • quadrilateral
    Abstract
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D'Azevedo, Ed
    "On Optimal Bilinear Quadrilateral Meshes", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.19-33, October 1998
    keywords:
    • anisotropy
    • quadrilateral
    • super-convergence
    • bilinear
    Abstract
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Delanaye, M.; Verniers, K. J.
    "Hexahedra Unstructured Grid Generation For Viscous Flow Simulation", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.325-335, September 2000
    keywords:
    • aspect ratio
    • automatic
    • automatic mesh generation
    • CAD
    • CAD models
    • hexahedra
    • high aspect ratio
    • non-manifold
    • quality
    • triangulation
    • unstructured
    Abstract


Dewhirst, Donald L., Peter M. Grinsell, John R. Tucker, Alok Mahajan
    "Joining Tetrahedra To Hexahedra", 1993 MSC World Users' Conference, MSC, pp.45:1-9, 1993
    keywords:
    • hexahedra
    • mixed meshes
    • MPC
    • multi-point constraints
    • tetrahedra
    Abstract


Dewhirst, Donald, Sreedhar Vangavolu and Harley Wattrick
    "The Combination of Hexahedral and tetrahedral Meshing Algorithms", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.291-304, October 1995
    keywords:
    • Delaunay
    • hexahedron
    • mixed meshing
    • multi-point constraints
    • plastering
    • tetrahedron
    • three-dimensional
    Abstract


Dhondt, Guido
    "Cutting Of A 3-D Finite Element Mesh For Automatic Mode I Crack PropagationCalculations", International Journal for Numerical Methods in Engineering, Wiley, Vol 42, pp.749-772, 1998
    keywords:
    • crack propogation
    • hexahedra
    • refinement
    Abstract


Dhondt, Guido D.
    "Unstructured 20-Node Brick Element Meshing", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.369-376, October 1999
    keywords:
    • hexahedra
    • mesh generation
    • cutting
    • smoothing
    • quadratic
    • inside-out
    • grid-based
    Abstract
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Dhondt, Guido D.
    "Unstructured 20- node brick element meshing", Computer Aided Design, Elsevier, Vol 33, Num 3, pp.233-249, March 2001
    keywords:
    • hexahedra
    • cutting
    • smoothing
    • quadratic
    • inside-out
    • grid-based
    • MPC
    Abstract


Diaz-Morcillo, Alejandro, Agustin Bernal-Ros and Luis Nuno
    "Mesh Generation Methods Over Plane and Curved Surfaces", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.397-407, October 1998
    keywords:
    • quadrilateral
    • triangle
    • surface meshing
    • advancing front
    • transfinite interpolation
    • multiblock
    • structured
    • ruled surface
    • quadric surface
    • revolution surface
    Abstract
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Diaz-Morcillo, Alejandro, Luis Nuno
    "Grid Generation of Arbitrary 2-D Geometries by Means of an Advancing Front I Interpolation Hybrid Technique", Numerical Grid Generation in Computational Field Simulations, Ed. M. Cross., B. K. Soni, J. F. Thompson, J. Hauser, P. R. Eiseman, Proceedings of the 6th International Conference, held at the University of Greenwich, pp.403-409, July 1998
    keywords:
    • quadrilateral
    • multiblock
    • advancing front
    • triangle
    Abstract


Dompierre, Julien, Paul Labbe, Marie-Gabrielle Vallet and Ricardo Camarero
    "How to Subdivide Pyramids, Prisms, and Hexahedra into Tetrahedra", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.195-204, October 1999
    keywords:
    • pyramid
    • prism
    • hexahedra
    • tetrahedra
    • subdivision
    • conformity
    Abstract
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Eppstein, David
    "Linear Complexity Hexahedral Mesh Generation", 12th ACM Symp. Comp. Geom., Philadelphia, ACM, pp.58-67, 1996
    keywords:
    • hexahedra
    • proof
    • topological mesh generation
    Abstract


Esmaeilian, Said
    "Automatic Finite Element Mesh Transitioning with Hexahedron Elements", Dissertation, Brigham Young University, Vol 4, pp.92, August 1989
    keywords:
    • hexahedron
    • primitives
    • templates
    • mapped meshing
    Abstract


Field, David A.
    "The legacy of automatic mesh generation from solid modeling", Computer Aided Geometric Design, Elsevier, Vol 12, pp.651-673, 1995
    keywords:
    • advancing front
    • classification
    • Delaunay
    • hexahedra
    • octree
    • overview
    • parametric surface
    • quality
    • solid model
    • tetrahedra
    Abstract


Fischer, A. and P. Z. Bar-Yoseph
    "Adaptive mesh generation based on multi-resolution quad tree representation", International Journal For Numerical Methods In Engineering, John Wiley, Vol 48, pp.1571-1582, 2000
    keywords:
    • multiresolution
    • quadtree
    • adaptivity
    Abstract


Folwell, Nathan T. and Scott A. Mitchell
    "Reliable Whisker Weaving via Curve Contraction", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.365-378, October 1998
    keywords:
    • hexahedra
    • whisker weaving
    • topology
    • curve contraction
    • advancing front
    Abstract
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Freitag, Lori A. and Paul E. Plassmann
    "Local Optimization-Based Untangling Algorithms for Quadrilateral Meshes", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.397-406, October 7-10 2001
    keywords:
    • quadrilateral
    • untangling
    • improvement
    • quality
    • smoothing
    Abstract
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Frey, Pascal and Paul Louis George
    "Maillages. Applications aux elements finis", Hermes Science Publ., Paris, pp.842, 23 chapters, 1999
    keywords:
    • overview
    • classification
    • survey
    • multiblock
    • algebraic
    • quadtree
    • octree
    • advancing front
    • Delaunay
    • medial axis
    • surface meshing
    • curve meshing
    • implicit surfaces
    • optimization
    • modifications
    • adaptivity
    • P-method
    • parallel
    Abstract


Frey, Pascal J. and Loic Marechal
    "Fast Adaptive Quadtree Mesh Generation", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.211-224, October 1998
    keywords:
    • triangle
    • quadtree
    • spatial decomposition
    • adaptivity
    Abstract
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Furukawa, Tomonari; Yang, Changqi; Yagawa, Genki; Wu, Chang-Chun
    "Quadrilateral approaches for accurate free mesh method", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 47, Num 8, pp.1445 - 1462, March 2000
    keywords:
    • free mesh method
    • improvement of accuracy
    • quadrilateral elements
    • seamless method
    Abstract


Garimella, Rao V.
    "Mesh data structure selection for mesh generation and FEA applications", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 55, Num 4, pp.451 - 478, October 2002
    keywords:
    • data structures
    • grids
    • hexahedral mesh
    • tetrahedral mesh
    • triangulation
    Abstract


Greaves, D. M.; Borthwick, A. G. L.
    "Hierarchical tree-based finite element mesh generation", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 45, Num 4, pp.447-471, June 1999
    keywords:
    • finite elements
    • octree
    • quadtree
    Abstract


Grover, Benjamin T.; Benzley, Steven E.; Shepherd, Jason F.
    "Surface Splicing: A Dual Based Approach to Surface Mesh Modification and Generation", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.695-704, June 2002
    keywords:
    • dual
    • dual based
    • quadrilateral mesh generation
    • surface mesh generation
    • surface mesh modification
    • surface splicing
    Abstract


Guskov, Igor
    "Non-Replicating Indexing for Out-Of-Core Processing of Semi-Regular Triangular Surface Meshes", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.39-46, September 19-22 2004
    keywords:
    • data structures
    • external data structures
    • semi-regular surface meshes
    • subdivision
    • surface mesh
    • quadtree
    Abstract
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Gutierrez, M.A. and R. DeBorst
    "An Algorithm of Quadrilateral Mesh Rezoning", FEMIF, October 1995
    keywords:
    • quadrilateral
    • rezoning
    • smoothing


Hacon, Derek and Carlos Tomei
    "Tetrahedral Decompositions of Hexahedral Meshes", Europ. J. Combinatorics, Academic Press, Vol 10, pp.435-443, 1989
    keywords:
    • hexahedra
    • hexahedral decomposition
    Abstract


Haimes, Robert and Michael J. Aftosmis
    "Watertight Anisotropic Surface Meshing Using Quadrilateral Patches", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.311-322, September 19-22 2004
    keywords:
    • surface triangulation
    • anisotropy
    • quadrilateral
    • CAD geometry
    • mapping templates
    Abstract
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Hannemann, Matthias Muller and Karsten Weihe
    "On The Discrete Core of Quadrilateral Mesh Refinement", International Journal for Numerical Engineering, John Wiley & Sons, Num 46, pp.593-622, 1999
    keywords:
    • quadrilateral
    • refinement
    • discrete model
    • bidirected flows
    • quality control
    • meshing templates
    • branchings
    Abstract


Hariya, Masayuki, Ichiro Nishigaki, Ichiro Kataoka, Yoshimitsu Hiro
    "Automatic Hexahedral Mesh Generation with Feature Line Extraction", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.453-468, September 17-20 2006
    keywords:
    • feature line extraction
    • hexahedra
    • sub-mapping
    • shape recognition
    Abstract
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Harris, Nathan J., Steven E. Benzley and Steven J. Owen
    "Conformal Refinement of All-Hexahedral Element Meshes Based on Multiple Twist Plane Insertion", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.157-168, September 19-22 2004
    keywords:
    • adaptation
    • conformal refinement
    • hexahedra
    • refinement
    • STC
    Abstract
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Hoffmann, Christoph M.
    "Medial-Axis Approach to Mesh Generation", Lecture Notes: Princeton Conference, July 1996
    keywords:
    • hexahedron
    • medial axis
    • quadrilateral
    Abstract


Hohmeyer, Michael E., Wayne Christopher
    "Fully-Automatic Object-Based Generation of Hexahedral Meshes", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.129-138, October 1995
    keywords:
    • cartesian grid
    • hexahedron
    Abstract
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Holmes, David I.
    "Generalized Method of Decomposing Solid Geometry into Hexahedron Finite Elements", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.141-152, October 1995
    keywords:
    • hexahedron
    • mapped meshing
    • medial axis
    • spatial decomposition
    Abstract
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Itoh, Takayuki, Kenji Shimada, Keisuke Inoue, Atsushi Yamada, Tomotake Furuhata
    "Automated Conversion of 2D Triangular Mesh into Quadrilateral Mesh with Directionality Control", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.77-86, October 1998
    keywords:
    • quadrilateral
    • directionality
    • bubble
    • physically-based
    • square packing
    Abstract
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Ives, David
    "Geometric Grid Generation", Manuscript
    keywords:
    • hexahedron
    • mapped meshing
    Abstract


Jankovich, Steven R., Steven E. Benzley, Jason F. Shepherd and Scott A. Mitchell
    "The Graft Tool: An All-Hexahedral Transition Algorithm for Creating a Multi-Directional Swept Volume Mesh", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.387-392, October 1999
    keywords:
    • hexahedra
    • refinement
    • sweeping
    • graft tool
    Abstract
    Download Full Paper (Postscript Format)


Joe, Barry
    "Quadrilateral Mesh Generation in Polygonal Regions", (downloaded from Barry Joe's internet site at UofA), September 1994
    keywords:
    • polygonal decomposition
    • quadrilateral


Johnston, Bruce P., John M. Sullivan, Jr. and Andrew Kwasnik
    "Automatic Conversion of Triangular Finite Element Meshes to Quadrilateral Elements", International Journal for Numerical Methods in Engineering, Wiley, Vol 31, pp.67-84, 1991
    keywords:
    • quadrilateral
    • triangle conversion
    Abstract


Joun M.S., and M.C. Lee
    "Quadrilateral Finite-Element Generation and Mesh Quality Control for Metal Forming Simulation", International Journal for Numerical Methods in Engineering, Wiley, Vol 40, pp.4059-4075, 1997
    keywords:
    • looping method
    • quadrilateral
    Abstract


June, Joseph, Clark Dohrmann, Walt Witkowski, Paul Wolfenbarger, Walter Gerstle, Scott Mitchell, Malcolm Panthaki, Dan Segalman
    "A Global Optimization Approach to Quadrilateral Meshing", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.155, October 1997
    keywords:
    • quadrilateral
    • STC
    • whisker weaving
    Abstract
    Download Full Paper (Postscript Format)


Kerr, Robert A., Steven E. Benzley , David White and Scott Mitchell
    "A Method For Controlling Skew on Linked Surfaces", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.377-385, October 1999
    keywords:
    • skew measure
    • virtual vertex
    • mapped mesh
    • quality
    • quadrilateral
    Abstract
    Download Full Paper (Postscript Format)


Kinney, Paul
    "CleanUp: Improving Quadrilateral Finite Element Meshes", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.437-447, October 1997
    keywords:
    • clean-up
    • quadrilateral
    • topology
    Abstract


Knupp, Patrick M.
    "A method for hexahedral mesh shape optimization", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 58, Num 2, pp.319-332, July 2003
    keywords:
    • condition number
    • hexahedral meshing
    • mesh optimization
    • mesh quality
    • mesh smoothing
    Abstract


Knupp, Patrick M.
    "Winslow Smoothing On Two-Dimensional Unstructured Meshes", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.449-457, October 1998
    keywords:
    • winslow smoothing
    • quadrilateral
    • smoothing
    • elliptic smoothing
    Abstract
    Download Full Paper (Postscript Format)


Knupp, Patrick M.
    "Matrix Norms & The Condition Number: A General Framework to Improve Mesh Quality Via Node-Movement", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.13-22, October 1999
    keywords:
    • mesh optimization
    • shape measures
    • condition number
    • matrix norms
    • finite element mesh
    • tetrahedral mesh
    • hexahedral mesh
    • mesh untangling
    Abstract
    Download Full Paper (Postscript Format)


Knupp, Patrick M.
    "Applications of Mesh Smoothing: Copy, Morph, and Sweep on Unstructured Quadrilateral Meshes", International Journal for Numerical Methods in Engineering, Wiley, Vol 45, pp.37-45, 1999
    keywords:
    • hexahedra
    • smoothing
    • sweeping
    • copy
    • morph
    • quadrilateral
    Abstract


Knupp, Patrick M.
    "Next-Generation Sweep Tool: A Method For Generating All-Hex Meshes On Two-And-One-Half Dimensional Geomtries", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.505-513, October 1998
    keywords:
    • hexahedra
    • sweeping
    • node location
    • Cubit
    Abstract
    Download Full Paper (Postscript Format)


Kober, Cornelia and Matthias Muller-Hannemann
    "Hexahedral Mesh Generation for the Simulation of the Human Mandible", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.423-434, October 2000
    keywords:
    • hexahedra
    • quadrilateral
    • optimized mesh smoothing
    • human mandible
    • cycle-elimination
    Abstract
    Download Full Paper (Postscript Format)


Kraft, Peter
    "Automatic Remeshing With Hexahedral Elements: Problems, Solutions and Applications", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.357-367, October 1999
    keywords:
    • hexahedra
    • automatic remeshing
    • remeshing
    • octree
    • metal forming
    Abstract
    Download Full Paper (Postscript Format)


Krause, J., N. Strecker and W. Fichtner
    "Boundary-sensitive mesh generation using an offsetting technique", International Journal for Numerical Methods in Engineering, John Wiley, Vol 49, Num 1, pp.51-59, September 10-20 2000
    keywords:
    • advancing front
    • boundary layers
    • offsetting
    • quadrilateral
    • semiconductor
    • hybrid
    • advancing layers
    Abstract


Krause, J., W. Fichtner
    "Boundary Sensitive Mesh Generation using an Offsetting Technique", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
    keywords:
    • boundary layer
    • offsetting
    • advancing front
    • quadrilateral
    Abstract


Krishnamoorthy, C.S., B. Raphael, S. Mukhedee
    "Meshing by successive superelement decomposition (MSD) - A new approach to quadrilateral mesh generation", Finite Elements in Analysis and Design, Elsevier, Vol 20, pp.1-37, 1995
    keywords:
    • medial axis
    • quadrilateral
    Abstract


Kwak, Dae-Young and Im, Yong-Taek
    "Remeshing for metal forming simulations--Part II: Three-dimensional hexahedral mesh generation", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 53, Num 11, pp.2501 - 2528, April 2002
    keywords:
    • hexahedral mesh
    • metal forming
    • modified Laplacian mesh smoothing
    • three-dimensional remeshing
    Abstract


Kwak, Dae-Young; Cheon, Jae-Seung; Im, Yong-Taek
    "Remeshing for metal forming simulations—Part I: Two-dimensional quadrilateral remeshing", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 53, Num 11, pp.2463 - 2500, April 2002
    keywords:
    • fast Fourier transform (FFT)
    • mesh density smoothing
    • metal forming simulation
    • modified Laplacian mesh smoothing
    • quadrilateral mesh generation
    • two-dimensional remeshing
    Abstract


Kwok, Wa and Zhijian Chen
    "A Simple and Effective Mesh Quality Metric for Hexahedral and Wedge Elements", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.325-333, October 2000
    keywords:
    • mesh quality
    • quality
    • mesh metric
    • metric
    • hexahedra
    • wedge
    • mixed elements
    Abstract
    Download Full Paper (Postscript Format)


Labbe, Paul, Julien Dompierre, Francois Guibault and Ricardo Camarero
    "On Element Shape Measures for Mesh Optimization", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
    keywords:
    • shape metric
    • quality
    • tetrahedra
    • hexahedra
    • wedge
    • pyramid
    Abstract


Ladeinde, Foluso and Kehinde Alabi
    "A High-Quality Advancing Front Technique Using Recursive Domain Sub-Division", Numerical Grid Generation in Computational Field Simulations, Ed. M. Cross., B. K. Soni, J. F. Thompson, J. Hauser, P. R. Eiseman, Proceedings of the 6th International Conference, held at the University of Greenwich, pp.431-446, July 1998
    keywords:
    • quadrilateral
    • hexahedra
    • advancing front
    • paving
    • plastering
    • CFD
    Abstract


Lai, Mingwu, Steven Benzley and David White
    "Automated hexahedral mesh generation by generalized multiple source to multiple target sweeping", International Journal for Numerical Methods in Engineering, John Wiley, Vol 49, Num 1, pp.261-275, September 10-20 2000
    keywords:
    • hexahedra
    • sweeping
    • multiple source
    • multuple target
    • multisweep
    Abstract


Lai, Mingwu, Steven Benzley, and David White
    "Automated Hexahedral Mesh Generation by Generalized Multiple Source to Multiple Target Sweeping", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
    keywords:
    • hexahedra
    • sweeping
    Abstract


Lau, T.S., S. H. Lo and C. K. Lee
    "Generation of Quadrilateral Mesh over Analytical Curved Surfaces", Finite Elements in Analysis and Design, Elsevier, Vol 27, pp.251-272, 1997
    keywords:
    • quad conversion
    • quadrilateral
    • surface mesh
    • topological improvement
    • curved surfaces
    • analytical surfaces
    • indirect method
    Abstract


Lau, T.S., S.H. Lo, C.K. Lee
    "Generation of quadrilateral mesh over analytical curved surfaces", Finite Elements in Analysis and Design, Elsevier, Num 27, pp.251-272, 1997
    keywords:
    • quadrilateral
    • surface meshing
    • indirect method
    • topology improvement
    • analytical surfaces
    • adaptivity
    Abstract


Lautersztajn-S, Nina and Alf Samuelsson
    "Distortion Measures and Inverse Mapping for Isoparametric 8-Node Plane Finite Elements with Curved Boundaries", Communications in Numerical Methods in Engineering, Wiley, Vol 14, pp.87-101, 1998
    keywords:
    • isoparametric
    • midnodes
    • smoothing
    • distortion measures
    • quality
    • inverse maps
    • quadratic elements
    Abstract


Lee, C. K. and R. E. Hobbs
    "Automatic adaptive finite element mesh generation over arbitrary two-dimensional domain using advancing front technique", Computers and Structures, Pergammon, Vol 71, pp.9-34, 1999
    keywords:
    • adaptivity
    • advancing front
    • two-dimensional
    • quadrilateral
    • triangle
    Abstract


Lee, C.K., and S.H. Lo
    "A New Scheme for the Generation of a Graded Quadrilateral Mesh", Computers and Structures, Pergammon, Vol 52, Num 5, pp.847-857, 1994
    keywords:
    • advancing front
    • quadrilateral
    • triangle
    Abstract


Lee, M. C. and M. S. Joun
    "General Approach to Automatic Generation of Quadrilaterals on Three-Dimensional Surfaces", Communications in Numerical Methods in Engineering, Wiley, Vol 14, pp.609-620, 1998
    keywords:
    • quadrilateral
    • surface meshing
    • mapped meshing
    • topological information generation
    • node sampling on edges
    Abstract


Lee, Nam-Sua and Klaus-Jurgen Bathe
    "Effects of Element Distortions on the Performance of Isoparametric Elements", International Journal for Numerical Methods in Engineering, Wiley, Vol 36, pp.3553-3576, 1993
    keywords:
    • element distortion
    • distortion metric
    • quality
    • quadrilateral
    • isoparametric
    Abstract


Lee, Y. K. and Lee, C. K.
    "Automatic generation of anisotropic quadrilateral meshes on three-dimensional surfaces using metric specifications", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 53, Num 12, pp.2673 - 2700, April 2002
    keywords:
    • advancing front
    • anisotropic mesh generation
    • indirect method
    • quadrilateral mesh generation
    • systematic merging technique
    Abstract


Lee, Y. K; Lee, C. K
    "A new indirect anisotropic quadrilateral mesh generation scheme with enhanced local mesh smoothing procedures", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 58, Num 2, pp.277-300, July 2003
    keywords:
    • advancing front technique
    • anisotropic mesh generation
    • indirect quadrilateral mesh generation
    • local and global anisotropic mesh smoothings
    • systemic merging technique
    Abstract


Lee, Y. T., A. De Pennington and N. K. Shaw
    "Automatic Finite-Element Mesh Generation from Geometric Models-A Point-Based Approach", ACM Transactions on Graphics, ACM, Vol 3, Num 4, pp.287-311, 1984
    keywords:
    • quadrilateral
    • point distribution
    • nodal spacing
    Abstract


Leland, Robert W., Darryl J. Melander, Ray W. Meyers, Scott A. Mitchell, Timothy J. Tautges
    "The Geode Algorithm: Combining Hex/Tet Plastering, Dicing and Transition Elements for Automatic, All-Hex Mesh Generation", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.515-521, October 1998
    keywords:
    • hexahedra
    • geode template
    • transition
    • plastering
    • dicing
    • Hex-Tet
    Abstract
    Download Full Paper (Postscript Format)


Lewis, Roland W., Yao Zheng, Asif S. Usmani
    "Aspects of adaptive mesh generation based on domain decomposition and Delaunay triangulation", Finite Elements in Analysis and Design, Elsevier, Vol 20, pp.47-70, 1995
    keywords:
    • adaptivity
    • Delaunay
    • density
    • domain decomposition
    • point creation
    • quadrilateral
    • quadtree
    • triangle
    Abstract


Li, Ge; Jayaseelan, Rajanikanth; Gerstle, Walter
    "Investigation of Hexahedral Elements Generated from Tetrahedral Elements", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.315-323, September 2000
    keywords:
    • aspect ratio
    • finite element
    • finite elements
    • hexahedral
    • quadrilateral
    • quadrilateral element
    • quadrilateral elements
    • tetrahedral mesh
    • triangular
    Abstract


Li, Hua and Gengdong Cheng
    "New Method for Graded Mesh Generation of All Hexahedral Finite Elements", Numerical Grid Generation in Computational Field Simulations, Ed. M. Cross., B. K. Soni, J. F. Thompson, J. Hauser, P. R. Eiseman, Proceedings of the 6th International Conference, held at the University of Greenwich, pp.1031-1038, July 1998
    keywords:
    • hexahedra
    • graded mesh
    • pattern module
    • refinement
    Abstract


Li, T.S., R.M. McKeag, C.G. Armstrong
    "Hexahedral Meshing Using Midpoint Subdivision and Integer Programming", Computer Methods in Applied Mechanics and Engineering, Elsevier, Vol 124, pp.171-193, 1995
    keywords:
    • hexahedron
    • medial surface
    Abstract


Li, T.S., S.M. Wong, Y.C. Hon, C.G. Armstrong, R.M. McKeag
    "Smoothing by optimisation for a quadrilateral mesh with invalid elements", Finite Elements in Analysis and Design, Elsevier, Vol 34, pp.37-60, 2000
    keywords:
    • smoothing
    • optimization
    • invalid elements
    • untangling
    • quadrilateral
    Abstract


Li, Xiang-Yang, Shang-Hua Teng and Alper Ungor
    "Biting Spheres in 3D", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.85-95, October 1999
    keywords:
    • quality
    • advancing front
    • plastering
    • sphere packing
    • biting
    • tetrahedra
    Abstract
    Download Full Paper (Postscript Format)


Li, Xiang-Yang, Shang-Hua Teng and Alper Ungor
    "Biting: advancing front meets sphere packing", International Journal for Numerical Methods in Engineering, John Wiley, Vol 49, Num 1, pp.61-81, September 10-20 2000
    keywords:
    • advancing front
    • paving
    • circle packing
    • biting
    • bubble meshing
    • sphere packing
    • triangle
    • tetrahedra
    Abstract


Lindgren, L.-E., H.-A. Haggblad, J.M.J. McDill, A.S. Oddy
    "Automatic remeshing for three-dimensional finite element simulation of welding", Computer Methods in Applied Mechanics and Engineering, Elsevier, Vol 147, pp.401-409, 1997
    keywords:
    • welding
    • hexahedra
    • refinement
    Abstract


Liu, S.S, J. Uicker and R. Gadh
    "A Dual Geometry-Topology Constraint Approach for Determination of Pseudo-Swept Shapes as Applied to Hexahedral Mesh Generation", Computer-Aided Design, Elsevier Science, Num 31, pp.413-426, 1999
    keywords:
    • pseudo-swept
    • hexahedra
    • BLOB
    • automated decomposition
    • sweeping
    Abstract


Liu, Shang-Sheng and Rajit Gadh
    "Basic LOgical Bulk Shapes (BLOBS) for Finite Element Hexahedral Mesh Generation", 5th International Meshing Roundtable, Sandia National Laboratories, pp.291-306, October 1996
    keywords:
    • geometry decomposition
    • hexahedron
    • mapping
    Abstract
    Download Full Paper (Postscript Format)


Liu, Shang-Sheng and Rajit Gadh
    "Automatic Hexahedral Mesh Generation by Recursive Convex and Swept Volume Decomposition", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.217-231, October 1997
    keywords:
    • hexahedron
    • mapped meshing
    • shape recognition
    • volume decomposition
    Abstract
    Download Full Paper (Postscript Format)


Liu, Y.C., H.A. ElMaraghy and K.F. Zhang
    "An Expert System for Forming Quadrilateral Finite Elements", Engineering Computations, Pineridge Press, Vol 7, Num 3, pp.249-257, September 1990
    keywords:
    • density function
    • expert systems
    • quadrilateral
    • transition meshes


Lo, S. H.
    "Generating Quadrilateral Elements on Plane and Over Curved Surfaces", Computers & Structures, Pergamon, Vol 31, Num 3, pp.421-426, 1989
    keywords:
    • indirect quad meshing
    • quad distortion metric
    • quadrilateral
    Abstract


Lo, S. H. and C. K. Lee
    "Selective regional refinement procedure for adaptive finite element analysis", Computers and Structures, Pergammon, Vol 68, pp.325-341, 1998
    keywords:
    • selective regional refinement
    • error estimation
    • refinement
    • adaptivity
    • quadrilateral
    Abstract


Lo, S.H. and C.K. Lee
    "On Using Meshes of Mixed Element Types in Adaptive Finite Element Analysis", Finite Elements in Analysis and Design, Elsevier, Vol 11, pp.307-336, 1992
    keywords:
    • adaptivity
    • error estimator
    • mixed elements
    • quadrilateral
    • triangle
    Abstract


Lober, Randy R., Timothy J. Tautges, Rich A. Cairncross
    "The Parallelization of an Advancing-Front, All-Quadrilateral Meshing Algorithm for Adaptive Analysis", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.59-70, October 1995
    keywords:
    • adaptivity
    • parallel processing
    • paving
    • quadrilateral
    Abstract
    Download Full Paper (Postscript Format)


Lohner, R.
    "Progress in Grid Generation via the Advancing Front Technique", Engineering with Computers, Springer-Verlag, Vol 12, pp.186-210, December 1996
    keywords:
    • advancing front
    • parallel
    • quadrilateral
    • tetrahedron
    • triangle
    Abstract


Long, Yuqiu, Juxuan Li, Zhifei Long and Song Cen
    "Area Coordinates Used in Quadrilateral Elements", Communications in Numerical Methods in Engineering, John Wiley & Sons, Num 15, pp.533-545, 1999
    keywords:
    • quadrilateral element
    • area coordinates
    Abstract


Lu, Ning, Peter R. Eisman
    "Interactive High Quality Grid Generation", Proceedings of NASA Workshop on Surface Modeling, Grid Generation and Related Issues in CFD Solutions, NASA-CP-3291, pp.833-843, May 1995
    keywords:
    • hexahedron
    Abstract


Lu, Y., R. Gadh, T. J. Tautges
    "Feature based hex meshing methodology: feature recognition and volume decomposition", Computer Aided Design, Elsevier, Vol 33, Num 3, pp.221-232, March 2001
    keywords:
    • feature recognition
    • solid modeling
    • hexahedra
    • volume decomposition
    • decomposition
    Abstract


Lu, Yong, Rajit Gadh and Timothy J. Tautges
    "Volume Decomposition and Feature Recognition For Hexahedral Mesh Generation", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.269-280, October 1999
    keywords:
    • hexahedra
    • feature recognition
    • volume decomposition
    • solid modeling
    Abstract
    Download Full Paper (Postscript Format)


Malanthara, Anish and Walter Gerstle
    "Comparative Study of Unstructured Meshes Made of Triangles and Quadrilaterals", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.437-447, October 1997
    keywords:
    • comparison
    • quadrilateral
    • quality
    • triangle
    Abstract


Marechal, Loic
    "A New Approach to Octree-Based Hexahedral Meshing", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.209-221, October 7-10 2001
    keywords:
    • hexahedra
    • octree
    • conforming patterns
    • mesh adaptation
    • adaptivity
    • grid-based
    • inside-out
    Abstract


Maza, S., F. Noel and J.C. Leon
    "Generation of quadrilateral meshes on free-form surfaces", Computers and Structures, Pergammon, Vol 71, pp.505-524, 1999
    keywords:
    • surface meshing
    • quadrilateral
    • cleanup
    • topological optimization
    • indirect
    • advancing front
    • frontal method
    Abstract


Melander, Darryl J., Timothy J. Tautges, Steven E. Benzley
    "Generation of Multi-Million Element Meshes for Solid Model-Based Geometries: The Dicer Algorithm", AMD-Vol. 220 Trends in Unstructured Mesh Generation, ASME, pp.131-135, July 1997
    keywords:
    • hexahedra
    • large mesh
    Abstract


Meshkat, Sia and Dafna Talmor
    "Generating a Mixed Mesh of Hexahedra, Pentahedra and Tetrahedra from an Underlying Tetrahedral Mesh", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
    keywords:
    • hexahedra
    • hex-dominant
    • tetrahedra
    • indirect
    • wedge
    • pyramid
    Abstract


Meshkatt, Sia and Dafna Talmor
    "Generating a mixed mesh of hexahedra, pentahedra and tetrahedra from an underlying tetrahedral mesh", International Journal for Numerical Methods in Engineering, John Wiley, Vol 49, Num 1, pp.17-30, September 10-20 2000
    keywords:
    • hex-dominant
    • hexahedra
    • tetrahedra
    • pentahedra
    • indirect hexahedral meshing
    Abstract


Meyers, Ray J., Timothy J. Tautges, Philip M. Tuchinsky
    "The Hex-Tet Hex-Dominant Meshing Algorithm as Implemented in CUBIT", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.151-158, October 1998
    keywords:
    • hexahedra
    • mixed-element
    • hex-dominant
    • plastering
    • CUBIT
    • Hex-Tet
    • pyramids
    • hybrid
    Abstract
    Download Full Paper (Postscript Format)


Min, Weidong
    "Generating Hexahedron-Dominant Mesh Based on Shrinking-Mapping Method", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.171-182, October 1997
    keywords:
    • hex-dominant
    • hexahedron
    • mixed element
    Abstract
    Download Full Paper (Postscript Format)


Mingwu, Lai, Steven E. Benzley, Greg Sjaardema and Tim Tautges
    "A Multiple Source and Target Sweeping Method for Generating All-Hexahedral Finite Element Meshes", 5th International Meshing Roundtable, Sandia National Laboratories, pp.217-228, October 1996
    keywords:
    • hexahedron
    • sweeping
    Abstract
    Download Full Paper (Postscript Format)


Mitchell, Scott
    "A Characterization of the Quadrilateral Meshes of a Surface Which Admit a Compatible Hexahedral Mesh of the Enclosed Volume", 1996
    keywords:
    • hexahedron
    • proof
    Abstract


Mitchell, Scott A.
    "High Fidelity Interval Assignment", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.33-44, October 1997
    keywords:
    • interval assignment
    • line meshing
    • quadrilateral
    Abstract
    Download Full Paper (Postscript Format)


Mitchell, Scott A.
    "Choosing Corners of Rectangles for Mapped Meshing", 13th Annual Symposium on Computational Geometry, ACM Press, pp.87-93, June 1997
    keywords:
    • mapped meshing
    • interval assignment
    • quadrilateral
    • hexahedra
    • compatable hex mesh
    Abstract


Mitchell, Scott A.
    "The All-Hex Geode-Template for Conforming a Diced Tetrahedral Mesh to any Diced Hexahedral Mesh", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.295-305, October 1998
    keywords:
    • hexahedra
    • tetrahedra
    • conforming
    • transition
    • whisker weaving
    • geode template
    • Cubit
    Abstract
    Download Full Paper (Postscript Format)


Mitchell, Scott A. and Timmothy J. Tautges
    "Pillowing Doublets: Refining A Mesh to Ensure That Faces Share At Most One Edge", Proceedings, 4th Internatinal Meshing Roundtable, Sandia National Laboratories, pp.231-240, October 1995
    keywords:
    • doublet
    • hexahedron
    • plastering
    • refinement
    • whisker weaving
    Abstract
    Download Full Paper (Postscript Format)


Miyoshi, Katsuhiro and Ted Blacker
    "Hexahedral Mesh Generation Using Multi-Axis Cooper Algorithm", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.89-97, October 2000
    keywords:
    • hexahedra
    • sweeping
    • cooper tool
    • many-to-many
    • multi-axis
    Abstract
    Download Full Paper (Postscript Format)


Muller-Hannemann, Matthias
    "High Quality Quadrilateral Surface Meshing Without Template Restrictions: A New Approach Based on Network Flow Techniques", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.293-307, October 1997
    keywords:
    • quadrilateral
    • surface
    Abstract
    Download Full Paper (Postscript Format)


Muller-Hannemann, Matthias
    "Hexahedral Mesh Generation by Successive Dual Cycle Elimination", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.365-378, October 1998
    keywords:
    • hexahedra
    • whisker weaving
    • dual cycle
    • combinatorial dual
    • hex complex
    • planar graphs
    • cycle elimination
    Abstract
    Download Full Paper (Postscript Format)


Muller-Hannemann, Matthias, Cornelia Kober, Robert Sader, Hans-Florian Zeilhofer
    "Anisotropic Validation of Hexahedral Meshes for Composite Materials in Biomechanics", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.249-260, October 7-10 2001
    keywords:
    • hexahedra
    • quality
    • optimized mesh smoothing
    • smoothning
    • human mandible
    • biomechanics
    • dual-cycle elimination method
    Abstract
    Download Full Paper (Postscript Format)


Murdoch, Peter and Steven E. Benzley
    "The Spatial Twist Continuum", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.243-251, October 1995
    keywords:
    • hexahedron
    • spatial twist continuum (STC)
    Abstract


Murdoch, Peter, Steven Benzley, Ted Blacker and Scott A. Mitchell
    "A Connectivity Based Method for Representing and Constructing All-Hexahedral Finite Element Meshes", 1995
    keywords:
    • hexahedron
    • STC
    • mesh dual
    Abstract


Müller-Hannemann, Matthias; Weihe, Karsten
    "On the discrete core of quadrilateral mesh refinement", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 46, Num 4, pp.593 - 622, October 1999
    keywords:
    • bidirected flows
    • branchings
    • discrete model
    • meshing templates
    • quadrilateral mesh refinement
    • quality control
    Abstract


Neugebauer, Friedhelm and Ralf Diekmann
    "Improved Mesh Generation: Not Simple but Good", 5th International Meshing Roundtable, Sandia National Laboratories, pp.257-272, October 1996
    keywords:
    • metric
    • provable angle bounds
    • quadtree
    • quality
    • rhomboidal quadtree
    • surface meshing
    • triangle
    Abstract
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Nowottny, Dietrich
    "Quadrilateral Mesh Generation via Geometrically Optimized Domain Decomposition", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.309-320, October 1997
    keywords:
    • geometry decomposition
    • quadrilateral
    • surface
    Abstract
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Nowottny, Dietrich
    "Quadrilateral Mesh Generation Via The Dual Graph Method", submitted to International Journal Numerical Methods in Engineering, pp.1-30, September 1999
    keywords:
    • quadrilateral
    • dual techniques
    • graph theory
    • STC
    Abstract


Oaks, Wayne and Stefano Paoletti
    "Polyhedral Mesh Generation", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.57-67, October 2000
    keywords:
    • polyhedra
    • hexahedra
    • mid-point subdivision
    • computational geometry
    • grid-based
    • inside-out
    Abstract
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Owen, Steve J.
    "Constrained Triangulation: Application to Hex-Dominant Mesh Generation", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.31-41, October 1999
    keywords:
    • constrained triangulation
    • hex-dominant mesh generation
    • hexahedra
    • H-Morph
    • tetrahedral transformations
    Abstract
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Owen, Steven J and Sunil Saigal
    "H-Morph: An Indirect Approach to Advancing Front Hex Meshing", International Journal for Numerical Methods in Engineering, Wiley, Vol 1, Num 49, pp.289-312, 2000
    keywords:
    • hex-dominant
    • H-Morph
    • constrained triangulation
    • hexahedra
    Abstract


Owen, Steven J.
    "A Survey of Unstructured Mesh Generation Technology", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.239-267, October 1998
    keywords:
    • overview
    • classification
    • software
    • triangle
    • quadrilateral
    • tetrahedra
    • hexahedra
    • surface meshing
    • refinement
    • clean-up
    • smoothing
    • Delaunay
    • advancing front
    • octree
    • plastering
    • paving
    • whisker weaving
    • grid-based
    • indirect
    Abstract
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Owen, Steven J.
    "Hex-dominant mesh generation using 3D constrained triangulation", Computer Aided Design, Elsevier, Vol 33, Num 3, pp.211-220, March 2001
    keywords:
    • constrained triangulation
    • hexahedral-dominant
    • hexahedra
    • mixed elements
    • boundary recovery
    • boundary constrained
    Abstract


Owen, Steven J.
    "Non-Simplicial Unstructured Mesh Generation", Dissertation, Department of Civil and Environmental Engineering, Carnegie Mellon University, April 1999
    keywords:
    • boundary constrained
    • overview
    • classification
    • hexahedra
    • quadrilateral
    • Q-Morph
    • H-Morph
    • boundary recovery
    • edge recovery
    • face recovery
    • element sizing
    • natural neighbor interpolation
    • data structure
    • pyramid
    • cleanup
    • smoothing
    • tetrahedral transformations
    Abstract
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Owen, Steven J. and Sunil Saigal
    "H-Morph: An Indirect Approach to Advancing Front Hex Meshing", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
    keywords:
    • hexahedra
    • hex-dominant
    • indirect
    • boundary recovery
    • advancing front
    • plastering
    • H-Morph
    Abstract


Owen, Steven J., M. L. Staten, S. A. Canann and S. Saigal
    "Q-Morph: An Indirect Approach to Advancing Front Quad Meshing", International Journal for Numerical Methods in Engineering, Wiley, Vol 9, Num 44, pp.1317-1340, March 1999
    keywords:
    • mesh generation
    • quadrilateral
    • advancing front
    • surface meshing
    • Q-Morph
    • paving
    Abstract


Owen, Steven J., Matthew L. Staten, Scott A. Canann, and Sunil Saigal
    "Advancing Front Quadrilateral Meshing Using Triangle Transformations", 7th International Meshing Roundtable, Sandia National Labs, pp.409-428, October 1998
    keywords:
    • Q-morph
    • quadrilateral
    • advancing front
    • surface meshing
    • edge recovery
    • surface meshing
    Abstract
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Owen, Steven J., Norman L. Jones and Jeffrey P. Holland
    "A Comprehensive Modeling Environment for the Simulation of Groundwater Flow and Transport", Engineering With Computers, Springer-Verlag, Vol 12, pp.235-242, December 1996
    keywords:
    • Delaunay
    • finite elements
    • GMS
    • groundwater
    • iso-surface
    • kriging
    • MODFLOW
    • natural neighbor interpolation
    • paving
    • relaxation
    • site characterization
    • three-dimensional
    • TINS
    • triangulation
    • two-dimensional
    Abstract


Owen, Steven J., Scott A. Canann and Sunil Saigal
    "Pyramid Elements for Maintaining Tetrahedra to Hexahedra Conformability", AMD-Vol. 220 Trends in Unstructured Mesh Generation, ASME, pp.123-129, July 1997
    keywords:
    • hexahedra
    • mixed meshes
    • MPC
    • multi-point constraint
    • pyramid
    • tetrahedra
    Abstract
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Owen, Steven J.; Saigal, Sunil
    "H-Morph: an indirect approach to advancing front hex meshing", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 49, Num 1-2, pp.289 - 312, September 2000
    keywords:
    • advancing front
    • hexahedron
    • hex-dominant
    Abstract


Pavlakos, Constantine J., Jake S. Jones and Scott A. Mitchell
    "An Immersive Environment for Exploration of CUBIT Meshes", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.47-48, October 1997
    keywords:
    • hexahedra
    • mesh visualization
    Abstract
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Peters, Jorg
    "Curvature Continuous Spline Surfaces Over Irregular Meshes", Computer Aided Geometric Design, Vol 13, pp.101-131, 1996
    keywords:
    • blending
    • geometric continuity
    • interpolation
    • parametric surfaces
    • quadrilateral
    • surface mesh
    • surface reconstruction
    Abstract


Petersen, S. B., J.M.C. Rodrigues and P.A.F. Martins
    "Automatic generation of quadrilateral meshes for the finite element analysis of metal forming processes", Finite Elements In Analysis And Design, Elsevier, Vol 35, pp.157-168, 2000
    keywords:
    • quadrilateral
    • metal forming
    • grid-based
    Abstract


Petersen, S. B.; Martins, P. A. F.
    "Finite Element Remeshing: A Metal Forming Approach for Quadrilateral Mesh Generation and Refinement", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 40, Num 8, pp.1449 - 1464, April 1997
    keywords:
    • metal forming
    • quadrilateral element
    • remeshing
    Abstract


Petrovic, Nemanja, Branko Kolundzija
    "Meshing of Hexagons into Convex Quadrilaterals", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.223-233, October 7-10 2001
    keywords:
    • hexagon
    • quadrilateral
    • mesh
    • combinatorial counting
    Abstract
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Potyondy, David O., Paul A. Wawrzynek and Anthony R. Ingraffea
    "An Algorithm to Generate Qudrilateral or Triangular Element Surface Meshes in Arbitrary Domains with Aplications to Crack Propogation", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 38, pp.2677-2701, 1995
    keywords:
    • crack propagation
    • quadrilateral
    • quadtree
    • triangle
    Abstract


Price, M.A. and C.G. Armstrong
    "Hexahedral Mesh Generation by Medial Surface Subdivision: Part I, Solids With Convex Edges", International Journal for Numerical Methods in Engineering, Wiley, Vol 38, Num 19, pp.3335-3359, October 1995
    keywords:
    • convex
    • hexahedron
    • medial axis
    • spatial decomposition


Price, M.A., and C.G. Armstrong
    "Hexahedral Mesh Generation by Medial Surface Subdivision: Part II. Solids with Flat and Concave Edges", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Vol 40, pp.111-136, January 1997
    keywords:
    • hexahedron
    • medial axis
    Abstract


Price, Mark, Clive Stops and Geoffrey Butlin
    "A Medial Object Toolkit for Meshing and Other Applications", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.219-229, October 1995
    keywords:
    • Application Programmers Interface (API)
    • dimension reduction
    • feature suppression
    • hexahedron
    • medial axis
    • shelling
    Abstract
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Quadros, W. R., K. Ramaswami, F. B. Prinz and B.Gurumoorthy
    "LayTracks: A New Approach To Automated Quadrilateral Mesh Generation using MAT", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.239-250, October 2000
    keywords:
    • lay tracks
    • medial axis
    • quadrilateral
    Abstract
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Rajagopalan, Krishnakumar and Peter R. Eiseman
    "Automatic nested refinement - A technique for the generation of high quality multi-block structured grids for multi-scale problems using GridPro", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.277-284, Sept. 2003
    keywords:
    • multi-scale problems
    • multi-block
    • structured
    • nested refinement
    • fractals
    • conformal adaptive hex meshing
    • GridPro
    Abstract
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Ramaswami, S., M. Siqueira, T. Sundaram, J. Gallier, J. Gee
    "A new algorithm for generating quadrilateral meshes and its application to FE-based image registration", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.159-170, Sept. 2003
    keywords:
    • quadrilateral
    • image registration
    • bio-medical
    Abstract
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Rees, Matthew
    "Combining Quadrilateral and Triangular Meshing Using the Advancing Front Approach", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.337-348, October 1997
    keywords:
    • advancing front
    • mixed elements
    • quadrilateral
    • surface
    • triangle
    Abstract
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Riccius J., K. Schweizerhof and M. Baumann
    "Combination of Adaptivity and Mesh Smoothing for the Finite Element Analysis of Shells with Intersections", International Journal for Numerical Methods in Engineering, Wiley, Vol 40, pp.2459-2474, 1997
    keywords:
    • adaptivity
    • error computation
    • linear analysis
    • mesh smoothing
    • quadrilateral
    • shell structures
    Abstract


Roca, Xevi and Josep Sarrate
    "An Automatic and General Least-Squares Projection Procedure for Sweep Meshing", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.487-506, September 17-20 2006
    keywords:
    • hexahedra
    • sweeping
    • node projection
    • affine mapping
    • least-squares
    Abstract
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Roca, Xevi, Josep Sarrate and Antonio Huerta
    "Surface Mesh Projection for Hexahedral Mesh Generation by Sweeping", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.169-180, September 19-22 2004
    keywords:
    • sweeping
    • hexahedra
    Abstract
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Roca, Xevi, Josep Sarrate and Antonio Huerta
    "A new least-squares approximation of affine mappings for sweep algorithms", Proceedings, 14th International Meshing Roundtable, Springer-Verlag, pp.433-448, September 11-14 2005
    keywords:
    • hexahedra
    • node projection
    • smoothing
    • sweeping
    Abstract
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Salem, Ahmed Z.I., Scott A. Canann, and Sunil Saigal
    "Robust Distortion Metric for Quadratic Triangular 2D Finite Elements", AMD-Vol. 220 Trends in Unstructured Mesh Generation, ASME, pp.73-80, July 1997
    keywords:
    • admissible space
    • metric
    • quadratic
    • quality
    • triangle
    Abstract


Sampl, Peter
    "Semi-Structured Mesh Generation Based on Medial Axis", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.21-32, October 2000
    keywords:
    • hexahedra
    • medial axis
    • hybrid meshing
    • semi-structured
    • hex-dominant
    Abstract
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Sandhu, L S. and H. Liebowitz
    "Mesh Adaptation Using a Four-Noded Quadrilateral Plate Bending Element", Engineering Fracture Mechanics, Elsevier, Vol 50, Num 5, pp.737-758, 1995
    keywords:
    • quadrilateral
    • adaptivity
    • error estimator
    Abstract


Sarrate J., M.A. Gutierrez and A. Huerta
    "A New Algorithm for Unstructured Quadrilateral Mesh Generation and Rezoning", FEMIF, September 1993
    keywords:
    • quadrilateral
    • rezoning
    • smoothing
    Abstract


Sarrate, Josep; Huerta, Antonio
    "Efficient unstructured quadrilateral mesh generation", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 49, Num 10, pp.1327 - 1350, December 2000
    keywords:
    • finite element
    • mesh generation
    • mesh reasoning
    • quadrilateral
    • unstructured
    Abstract


Schimpf P.H., D.R. Haynor and Y. Kim
    "Automated Meshing of Complex 3-D Domaind From Classified Images", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.193-204, October 1995
    keywords:
    • adaptivity
    • classified images
    • hexahedron
    Abstract
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Schneiders, R.
    "Refining Quadrilateral and Hexahedral Element Meshes", 5th International Conference on Numerical Grid Generation in Computational Field Simulations, Mississippi State University, pp.679-688, April 1996
    keywords:
    • hexahedron
    • quadrilateral
    • refinement
    Abstract


Schneiders, R.
    "Automatic Generation of Hexahedral Finite Element Meshes", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.103-114, October 1995
    keywords:
    • grid-based mesh generation
    • hexahedron
    Abstract
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Schneiders, R.
    "A Grid-Based Algorithm for the Generation of Hexahedral Element Meshes", Engineering With Computers, Feb 1995
    keywords:
    • grid-based mesh generation
    • hexahedron
    Abstract


Schneiders, R., R. Schindler and F. Weiler
    "Octree-based Generation of Hexahedral Element Meshes", 5th International Meshing Roundtable, Sandia National Laboratories, pp.205-216, October 1996
    keywords:
    • grid based
    • hexahedron
    • octree
    Abstract
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Schneiders, Robert
    "Refining quadrilateral and hexahedral element meshes", 5th International Conference on Grid Generation in Computational Field Simulations, Mississippi State University, April 1996
    keywords:
    • hexahedron
    • refinement
    Abstract


Schneiders, Robert
    "An Algorithm for the Generation of Hexahedral Element Meshes based on an Octree Technique", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.183-194, October 1997
    keywords:
    • grid-based
    • hexahedron
    • octree
    Abstract
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Schneiders, Robert and Rolf Bunten
    "Automatic Generation of Hexahedral Finite Element Meshes", Computer Aided Geometric Design, Elsevier, Vol 12, pp.693-707, 1995
    keywords:
    • grid-based
    • hexahedron
    • metal forming
    • remeshing
    Abstract


Schneiders, Robert, and Jurgen Debye
    "Refinement Algorithms for Unstructured Quadrilateral or Brick Element Meshes", Modeling, Mesh Generation and adaptive Numerical Methods for Partial Differential Equations; Proceedings IMA
    keywords: