carrier image

Mesh Refinement

Methods for refining a finite element mesh in order to capture specific physical phenomena in the model.

MESHING
RESEARCH
CORNER

Ammons, Bruce A.; Vable, Madhukar

    "An HR-method of mesh refinement for boundary element method", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 43, Num 6, pp.979 - 996, November 1998
    keywords:
    • mesh refinement
    • boundary element method
    • numerical error
    Abstract


Ang, Pin Yang and Cecil G. Armstrong
    "Adaptive Curvature-Sensitive Meshing of the Medial Axis", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.155-165, October 7-10 2001
    keywords:
    • medial axis
    • curvature
    • adaptive mesh refinement
    Abstract
    Download Full Paper (Postscript Format)


Arnica, Daniela L., Enzo A. Dari and Claudio Padra
    "Selection Strategies in Adaptive Refinement", Manuscript, pp.1-9
    keywords:
    • adaptivity
    • error estimators
    • refinement
    Abstract


Arnold, Douglas N., Arup Mukherjee, and Luc Pouly
    "Locally adapted tetrahedral meshes using bisection", Submitted to SIAM Journal on Scientific Computing, SIAM, 1997
    keywords:
    • data structure
    • refinement
    • tetrahedron
    Abstract


Ashby, J.V.
    "Algorithmic Developments in Mesh Refinement", Esprit Project 6753, Rutherford Appleton Laboratory, December 1994
    keywords:
    • refinement
    Abstract


Atalay, F. Betul and David M. Mount
    "The Cost of Compatible Refinement of Simplex Decomposition Trees", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.57-70, September 17-20 2006
    keywords:
    • compatible refinement
    • conformal mesh
    • decomposition tree
    • data structures
    • triangle
    Abstract
    Download Full Paper (Postscript Format)


Baker, Timothy J.
    "Mesh Movement and Metamorphosis", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.387-396, October 7-10 2001
    keywords:
    • tetrahedra
    • mesh movement
    • adaptation
    • coarsening
    • refinement
    • moving boundary
    • metamorphosis
    Abstract
    Download Full Paper (Postscript Format)


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


Bank, Randolph E. and Jinchao Xu
    "An Algorithm for Coarsening Unstructured Meshes", Numerische Mathematik, Vol 73, 1996
    keywords:
    • coarsening
    • refinement
    • triangle
    Abstract


Benoit Hudson, Gary Miller, and Todd Phillips
    "Sparse Voronoi Refinement", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.339-356, September 17-20 2006
    keywords:
    • vornonoi
    • polyhedra
    • sparse voronoi refinement
    • delaunay
    Abstract
    Download Full Paper (Postscript Format)


Boender, Edwin
    "Reliable Delaunay-Based Mesh Generation and Mesh Improvement", Communications in Numerical Methods in Engineering, Wiley, Vol 10, pp.773-783, 1994
    keywords:
    • boundary-constrained
    • Delaunay
    • refinement
    • relaxation
    • triangle
    • two-dimensional
    Abstract


Boivin, Charles; Ollivier-Gooch, Carl
    "Guaranteed-quality triangular mesh generation for domains with curved boundaries", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 55, Num 10, pp.1185 - 1213, December 2002
    keywords:
    • Ruppertaposs Delaunay refinement
    • triangular mesh generation
    Abstract


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, 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
    Download Full Paper (Postscript Format)


Branets, Larisa and Graham F. Carey
    "Smoothing and Adaptive Redistribution for Grids With Irregular Valence and Hanging Nodes", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.333-344, September 19-22 2004
    keywords:
    • smoothing
    • adaptive redistribution
    • quality metrics
    • refinement
    • structured
    Abstract
    Download Full Paper (Postscript Format)


Canann, S. A., S. N. Muthukrishnan and R. K. Phillips
    "Topological Refinement Procedures for Triangular Finite Element Meshes", Engineering with Computers, Springer-Verlag, Vol 12, pp.243-255, December 1996
    keywords:
    • clean-up
    • refinement
    • topology
    • triangle
    Abstract


Canann, S.A., S.N Muthukrishnan and R.K. Phillips
    "Topological Refinement Procedures for Triangular Finite Element Meshes", MSC/PDA, 1994
    keywords:
    • clean-up
    • finite elements
    • refinement
    • triangle
    • two-dimensional
    Abstract


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


Cheng, S.-W., T. K. Dey, and T. Ray
    "Weighted Delaunay Refinement for Polyhedra with Small Angles", Proceedings, 14th International Meshing Roundtable, Springer-Verlag, pp.325-342, September 11-14 2005
    keywords:
    • computational geometry
    • Delaunay refinement
    • sliver
    • weighted Delaunay triangulation.
    Abstract
    Download Full Paper (Postscript Format)


Chernikov, Andrey N. and Nikos P. Chrisochoides
    "Parallel 2D Graded Guaranteed Quality Delaunay Mesh Refinement", Proceedings, 14th International Meshing Roundtable, Springer-Verlag, pp.505-517, September 11-14 2005
    keywords:
    • parallel
    • Delaunay
    • refinement
    Abstract
    Download Full Paper (Postscript Format)


Choi, C.-K.; Lee, N. -H.
    "A 3-D Adaptive Mesh Refinement Using Variable-Node Solid Transition Elements", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 39, Num 9, pp.1585 - 1606, May 1996
    keywords:
    • adaptive mesh refinement
    • error estimation
    • neighbouring element
    • non-conforming modes
    • solid transition element
    • superconvergent patch recovery
    Abstract


Christiansen, Edmund; Pedersen, Ole S.
    "Automatic mesh refinement in limit analysis", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 50, Num 6, pp.1331 - 1346, February 2001
    keywords:
    • finite elements
    • limit analysis
    • mesh refinement
    • plasticity
    Abstract


Chudanov, Vladimir V., Anna E. Aksenova, Valerii A. Pervichko, Irina G.Plotnikova, Anton A. Korotkov
    "An Automatic Orthogonal/Cartesian Meshing With Local Refinement Tetrahedrons Near STL Boundary", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.99-110, October 7-10 2001
    keywords:
    • cartesian
    • structured
    • refinement
    • STL
    • orthogonal grids
    • tetrahedron
    Abstract
    Download Full Paper (Postscript Format)


Coll, Narcis, Marite Guerrieri and J. Antoni Sellares
    "Mesh Modification Under Local Domain Changes", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.39-56, September 17-20 2006
    keywords:
    • Delaunay
    • triangle
    • Steiner points
    • refinement
    Abstract
    Download Full Paper (Postscript Format)


De Cougny, H. L. and M. S. Shephard
    "Parallel Refinement and Coarsening of Tetrahedral Meshes", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Num 46, pp.1101-1125, November 1999
    keywords:
    • adaptive
    • coarsening
    • parallel
    • refinement
    Abstract


de Cougny, H. L. and M. S. Shephard
    "Refinement, Derefinement, and Optimization of Tetrahedral Geometric Triangulations in Three Dimensions", Draft, 1995
    keywords:
    • clean-up
    • coarsening
    • derefinement
    • improvement
    • optimization
    • refinement
    • tetrahedron
    • topology
    Abstract


Dey, T. K., G. Li, and T. Ray
    "Polygonal Surface Remeshing with Delaunay Refinement", Proceedings, 14th International Meshing Roundtable, Springer-Verlag, pp.343-362, September 11-14 2005
    keywords:
    • surface meshing
    • computational geometry
    • computational topology
    • Delaunay refinement
    Abstract
    Download Full Paper (Postscript Format)


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


Diaz-Morcillo, Alejandro, Luis Nuńo, Juan V. Balbastre and David Sánchez-Hernández
    "Adaptive Mesh Refinement in Electromagnetic Problems", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.147-155, October 2000
    keywords:
    • adaptivity
    • refinement
    • error indicator
    • triangles
    • electromagnetics
    Abstract
    Download Full Paper (Postscript Format)


Durbeck, Lisa
    "Evaporation: a Technique for Visualizing Mesh Quality", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.259-265, October 1999
    keywords:
    • refinement
    • adaptivity
    • preprocessing
    • mesh visualization
    • quality
    • tetrahedra
    Abstract
    Download Full Paper (Postscript Format)


Frey, Pascal J. and Houman Borouchaki
    "Unit Surface Mesh Simplification", AMD-Vol. 220 Trends in Unstructured Mesh Generation, ASME, pp.51-64, July 1997
    keywords:
    • decimation
    • derefinement
    • mesh simplification
    • surface meshing
    • triangles
    Abstract


Frey, William H.
    "Selective Refinement: A New Strategy for Automatic Node Placement in Graded Triangular Meshes", International Journal for Numerical Methods in Engineering, Wiley, Vol 24, pp.2183-2200, 1987
    keywords:
    • Delaunay
    • density function
    • node generation
    • refinement
    • triangle
    • two-dimensional
    Abstract


Frey, William H. and David H. Field
    "Mesh relaxation: A new Technique for Improving Triangulations", International Journal For Numerical Methods in Engineering, Vol 31, pp.1121-1133, 1991
    keywords:
    • refinement
    • relaxation
    • triangle
    • two-dimensional


Fuenmayor, F. J. and J. L. Oliver
    "Criteria to Achieve Nearly Optimal Meshes in the h-Adaptive Finite Element Method", International Journal for Numerical Methods in Engineering, Wiley, Vol 39, pp.4039-4061, 1996
    keywords:
    • adaptivity
    • optimal mesh
    • criteria
    • refinement
    • error estimation
    • triangle
    Abstract


Golias, N.A. and Tsiboukis, T.D.
    "An Approach to Refining Three-Dimensional Tetrahedral Meshes Based on Delaunay Transformations", International Journal for Numerical Methods in Engineering, John Wiley, Num 37, pp.793-812, 1994
    keywords:
    • adaptivity
    • Delaunay triangulation
    • finite elements
    • node generation
    • refinement
    • relaxation
    • smoothing
    • tetrahedron
    • three-dimensional
    • triangulation
    • Voronoi
    Abstract


Grosso, Roberto
    "Adaptive Refinement of Hierarchical Meshes", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
    keywords:
    • refinement
    • adaptivity
    • prism
    • wedge
    • pyramid
    Abstract


Guoy, Damrong and Jeff Erickson
    "Automatic Blocking Scheme for Structured Meshing in 2D Multiphase Flow Simulation", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.121-132, September 19-22 2004
    keywords:
    • multiblock structured mesh
    • medial axis
    • Delaunay
    • Voronoi diagram
    • Delaunay refinement
    • multiphase flow simulation
    Abstract
    Download Full Paper (Postscript Format)


Gursoy, H. Nebi and Nicholas M. Patrikalakis
    "An Automatic Coarse and Fine Surface Mesh Generation Scheme Based on Medial Axis Transform: Part II Implementation", Engineering With Computers, Springer-Verlag, Num 8, pp.179-196, 1992
    keywords:
    • course meshes
    • medial axis
    • mesh refinement
    • surface mesh


Gursoy, H. Nebi and Nicholas M. Patrikalakis
    "An Automatic Coarse and Fine Surface Mesh Generation Scheme Based on Medial Axis Transform: Part I Algorithms", Engineering With Computers, Springer Verlag, Num 8, pp.121-137, 1992
    keywords:
    • course meshes
    • medial axis
    • mesh refinement
    • surface mesh
    Abstract


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


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
    Download Full Paper (Postscript Format)


Hattangady, Nitin V.
    "Automatic Remeshing In 3-D Analysis Of Forming Processes", International Journal for Numerical Methods in Engineering, Wiley, Vol 45, pp.553-568, 1999
    keywords:
    • remeshing
    • metal forming
    • refinement
    Abstract


Henry, R.F. and R.A. Walters
    "Geometrically Based, Automatic Generator for Irregular Triangular Networks", Communications in Numerical Methods in Engineering, Wiley, Num 9, pp.555-566, 1993
    keywords:
    • density function
    • refinement


Hitschfeld, N.
    "Algorithms and Data Structures for Handling a Fully Flexible Refinement Approach in Mesh Generation", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.265-276, October 1995
    keywords:
    • data structures
    • refinement
    Abstract
    Download Full Paper (Postscript Format)


Jacobsen, Jens, Achim Brenk and Siegfried Wagner
    "Adaptive Grid Refinement and Sensors for the Euler Equations", 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.381-390, July 1998
    keywords:
    • adaptivity
    • refinement
    • CFD
    • error estimation
    • triangle
    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)


Jiao, Xiangmin and Michael T. Heath
    "Efficient and Robust Algorithm for Overlaying Nonmatching Surface Meshes", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.281-292, October 7-10 2001
    keywords:
    • computational geometry
    • mesh overlay
    • common refinement
    • edge intersection
    • robustness
    • imprecise computations
    • data transfer
    • rezoning
    Abstract
    Download Full Paper (Postscript Format)


Kallinderis, Y. and P. Vijayant
    "Adaptive Refinement-Coarsening Scheme for Three-Dimensional Unstructured Meshes", AIAA Journal, AIAA, Vol 43, Num 8, pp.1440-1447, August 1993
    keywords:
    • adaptivity
    • coarsening
    • refinement
    • tetrahedra
    Abstract


Katragadda,P. and I.R. Grosse
    "A Posteriori Error Estimation and Adaptive Mesh Refinement for Combined Thermal-Stress Finite Element Analysis", Computers and Structures, Pergammon, Vol 59, Num 6, pp.1149-1163, 1996
    keywords:
    • adaptivity
    • error estimators
    • refinement
    • thermal analysis
    Abstract


Kiahs, Joseph, Steve Shoaf, Richard Russell, Peter Ward
    "Finite Element Analysis Using Adaptive Mesh Generation", SDRC report, SDRC, 1995
    keywords:
    • adaptivity
    • distortion metric
    • refinement
    Abstract


Kim, Hyung Joo; Swan, Colby C.
    "Voxel-based meshing and unit-cell analysis of textile composites", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 56, Num 7, pp.977 - 1006, February 2003
    keywords:
    • automated meshing
    • effective properties
    • homogenization
    • mesh refinement
    • periodic media
    • textile composites
    • unit-cell-analysis
    Abstract


Krysl, Petr; Grinspun, Eitan; Schröder, Peter
    "Natural hierarchical refinement for finite element methods", International Journal for Numerical Methods in Engineering, Vol 56, Num 8, pp.1109 - 1124, February 2003
    keywords:
    • adaptive approximation
    • finite element
    • hierarchical
    • mesh refinement
    • subdivision element method
    • subdivision surface
    Abstract


Lee C. K. and R. E. Hobbs
    "On Solving Nearly Incompressible 2D Problems Using an Adaptive Refinement Procedure", Communications In Numerical Methods In Engineering, Wiley, Vol 14, pp.409-418, 1998
    keywords:
    • adaptivity
    • refinement
    • error estimation
    • incompressible
    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, X. -Y.
    "Functional Delaunay Refinement", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.253-262, September 2000
    keywords:
    • control spacing
    • delaunay refinement
    • mesh conformity
    • unstructured mesh generation
    Abstract


Li, Xiang-Yang, Shang-Hua Teng, Alper Ungor
    "Simultaneous Refinement and Coarsening Adaptive Meshing with Moving Boundaries", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.201-210, October 1998
    keywords:
    • combustion
    • adaptivity
    • coarsening
    • refinement
    • moving boundary
    • sphere-packing
    • Delaunay
    Abstract
    Download Full Paper (Postscript Format)


Li, Xiangrong; Shephard, Mark S.; Beall, Mark W.
    "Accounting for curved domains in mesh adaptation", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 58, Num 2, pp.247-276, July 2003
    keywords:
    • mesh modification
    • mesh refinement
    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, Anwei and Barry Joe
    "Quality Local Refinement of Tetrahedral Meshes Based on Bisection", (downloaded from Barry Joe's internet site at UofA), Feb 1994
    keywords:
    • mesh generation
    • mesh refinement
    • tetrahedron


Liu, Anwei and Matthias Horlacher
    "Tracking the Front of Moving Boundaries Using Grid GenerationTechniques", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.333-343, October 1999
    keywords:
    • moving boundary
    • refinement
    • adaptivity
    • semiconductors
    • tetrahedra
    Abstract
    Download Full Paper (Postscript Format)


Liu, Anwei, and Barry Joe
    "Quality Local Refinement of Tetrahedral Meshes Based on 8-Subtetrahedron Subdivision", (downloaded from Barry Joe's internet site at UofA)
    keywords:
    • tetrahedra
    • refinement


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.
    "Generation of High Quality Gradation Finite Element Mesh", Engineering Fracture Mechanics, Pergamon, Vol 2, Num 41, pp.191-202, 1992
    keywords:
    • advancing front
    • mesh refinement
    • quality checking
    • triangles


Lo, S.H.
    "3D mesh refinement in compliance with a specified node spacing function", Computational Mechanics, Springer, Vol 21, Num 1, pp.11-19, 1998
    keywords:
    • bisection
    • refinement
    • tetrahedra
    Abstract


Lohner, Rainald
    "Mesh Adaptation in Fluid Mechanics", Engineering Fracture Mechanics, Pergammon, Vol 50, Num 5, pp.819-847, 1995
    keywords:
    • adaptivity
    • CFD
    • refinement
    Abstract


Mackerle, Jaroslav
    "Mesh Generation and Refinement for FEM and BEM -- A Bibliography", Finite Elements in Analysis and design, Elsevier, Num 15, pp.177-188, 1993
    keywords:
    • bibliography
    • boundary element method
    • classification
    • mesh generation
    • mesh refinement


Maubach, Joseph M.
    "The Efficient Location of Neighbors for Locally Refined n-Simplicial Grids", 5th International Meshing Roundtable, Sandia National Laboratories, pp.137-156, October 1996
    keywords:
    • bisection
    • neighbors
    • refinement
    • tetrahedron
    Abstract
    Download Full Paper (Postscript Format)


Merrouche, A., A. Selman and C. Knopf-Lenoir
    "3D Adaptive Mesh Refinement", Communications In Numerical Methods In Engineering, Wiley, Vol 14, pp.397-407, 1998
    keywords:
    • adaptivity
    • tetrahedra
    • bisection
    • refinement
    • error estimator
    Abstract


Miller, Gary L., Dafna Talmor, Shang-Hua Teng, Noel Walkington and Han Wang
    "Control Volume Meshes using Sphere Packing: Generation, Refinement and Coarsening", 5th International Meshing Roundtable, Sandia National Laboratories, pp.47-62, October 1996
    keywords:
    • coarsening
    • control volume
    • Delaunay
    • refinement
    • sliver
    • sphere packing
    • tetrahedron
    Abstract
    Download Full Paper (Postscript Format)


Mitchell, Scott A.
    "Refining a Triangulation of a Planar Straight-Line Graph to Eliminate Large Angles", FOCS, 1993
    keywords:
    • angle
    • mesh refinement
    • Steiner Points
    • triangulation


Mitchell, Scott A. and Stephen A. Vavasis
    "Quality Mesh Generation in Three Dimensions (Extended Abstract)", ACM Symposium on Computational Geometry, 1992
    keywords:
    • mesh refinement
    • quality checking
    Abstract


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)


Molino, Neil, Robert Bridson, Joseph Teran and Ronald Fedkiw
    "A crystalline, red green strategy for meshing highly deformable objects with tetrahedra", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.103-114, Sept. 2003
    keywords:
    • tetrahedra
    • level set methods
    • BCC lattice
    • red green refinement
    • large deformations
    • muscle simulations
    Abstract
    Download Full Paper (Postscript Format)


Muthukrishnan, N., P. S. Shiakolas, R. V. Nambiar, and K. L. Lawrence
    "Simple Algorithm for Adaptive Refinement of Three Dimensional Finite Element Tetrahedral Meshes", AIAA Journal, Vol 33, Num 5, pp.928-932, May 1995
    keywords:
    • adaptivity
    • refinement
    • tetrahedron
    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


Noel, F, J.C. Leon and P. Trompette
    "A New Approach to Free-form Surface Mesh Control in a CAD Environment", International Journal for Numerical Methods in Engineering, Wiley, Vol 38, Num 18, pp.3121-3142, September 1995
    keywords:
    • CAD
    • refinement
    • smoothing
    • surface meshing


Noel, F. J.C. Leon and P. Trompette
    "A Data Structure Dedicated to an Integrated Free-form Surface Environment", Computers and Structures, Pergammon, Vol 57, Num 2, pp.345-355, 1995
    keywords:
    • adaptivity
    • CAD
    • data structures
    • geometric modeling
    • NURBS
    • refinement
    • surface mesh
    Abstract


Ollivier-Gooch, Carl
    "Coarsening unstructured meshes by edge contraction", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 57, Num 3, pp.391 - 414, May 2003
    keywords:
    • derefinement
    • edge contractions
    • mesh coarsening
    • multigrid
    • unstructured
    • vertex removal


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
    Download Full Paper (Postscript Format)


Padron, Miguel A.; Suarez, Jose P.; Plaza, Angel
    "Surface approximation by unstructured triangular meshes", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.671-677, September 2000
    keywords:
    • refinement
    • skeleton-based
    • surface approximation
    • triangular mesh generation
    Abstract


Park, K.; Yang, D. Y.
    "Mismatching refinement with domain decomposition for the analysis of steady-state metal forming process", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 48, Num 7, pp.1089 - 1106, July 2000
    keywords:
    • domain decomposition
    • extrusion process
    • iterative calculation
    • mesh refinement
    • rigid-plastic finite element method
    Abstract


Pav, Steven E. and Noel J. Walkington
    "Robust Three Dimensional Delaunay Refinement", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.145-156, September 19-22 2004
    keywords:
    • tetrahedra
    • Delaunay
    • Ruppert's algorithm
    • refinement
    Abstract
    Download Full Paper (Postscript Format)


Pavarino, Luca F.
    "Schwarz Methods with local refinement for the p-version finite element method", Numerische Mathematik, Springer-Verlag, Vol 69, pp.185-211, 1994
    keywords:
    • coarse meshes
    • P-method
    • refinement
    Abstract


Pebay, Philippe P. and David C. Thompson
    "Parallel Mesh Refinement Without Communication", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.437-448, September 19-22 2004
    keywords:
    • adaptive tetrahedral tessellation
    • parallel mesh refinement
    • streaming subdivision
    • parallel
    Abstract
    Download Full Paper (Postscript Format)


Plaza, Angel and Graham F. Carey
    "About Local Refinement of Tetrahedral Grids based on Bisection", 5th International Meshing Roundtable, Sandia National Laboratories, pp.123-136, October 1996
    keywords:
    • adaptivity
    • bisection
    • refinement
    • tetrahedron
    Abstract
    Download Full Paper (Postscript Format)


Plaza, Angel and Maria-Cecilia Rivara
    "Mesh refinement based on the 8-tetrahedra longest-edge partition", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.67-78, Sept. 2003
    keywords:
    • refinement
    • LEPP
    • longest-edge bisection
    • tetrahedra
    Abstract
    Download Full Paper (Postscript Format)


Plaza, Angel, Jose P. Suarez and Miguel A. Padron
    "Mesh graph structure for longest-edge refinement algorithms", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.335-344, October 1998
    keywords:
    • LEPP
    • triangle
    • data structure
    • longest-edge refinement
    Abstract
    Download Full Paper (Postscript Format)


Plaza, Angel, Miguel A. Padron, and Graham F. Carey
    "A 3d Derefinement Algorithm for Tetrahedral Grids", AMD-Vol. 220 Trends in Unstructured Mesh Generation, ASME, pp.17-23, July 1997
    keywords:
    • adaptivity
    • derefinement
    • refinement
    • tetrahedra
    Abstract


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
    Download Full Paper (Postscript Format)


Rammelkamp, J. N.L. Dung and O. Mahrenholtz
    "Some Aspects to the Quality of the FE-mesh in Simulation of Metal Forming Processes", Numerical Methods in Industrial Forming Processes. Wood & Zienkiewics (eds.), Balkema, 1992
    keywords:
    • mesh generation
    • mesh refinement
    • quality checking


Rassineux, A.; Breitkopf, P.; Villon, P.
    "Simultaneous surface and tetrahedron mesh adaptation using mesh-free techniques", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 57, Num 3, pp.371 - 389, May 2003
    keywords:
    • diffuse approximation
    • mesh adaptation
    • mesh refinement
    • mesh-free
    • tetrahedral mesh
    • unstructured
    Abstract


Rivara, M.-C. and M. Vemere
    "Cost Analysis of the Longest-Side (Triangle Bisection) Refinement Algorithm for Triangulations", Engineering with Computers, Springer-Verlag, Vol 12, pp.224-234, December 1996
    keywords:
    • refinement
    • triangle
    Abstract


Rivara, Maria-Cecilia
    "Local Modification of Meshes for Adaptive and/or MultiGrid Finite-Element Methods", Journal of Computational and Applied Mathematics, Elsevier, Num 36, pp.79-89, 1991
    keywords:
    • adaptivity
    • mesh refinement


Rivara, Maria-Cecilia
    "Cost Analysis of the Longest-Side (Triangle Bisection) Refinement Algorithm for Triangulations", Technical Report DCC-RR-94/6 Dept. Computer Science, University of Chile
    keywords:
    • mesh refinement
    • triangulation


Rivara, Maria-Cecilia
    "New Longest-Edge Algorithms For the Refinement and/or Improvement of Unstructured Triangulations", International Journal for Numerical Methods in Engineering, Wiley, Vol 40, pp.3313-3324, 1997
    keywords:
    • Delaunay
    • improvement
    • LEPP
    • refinement
    • tetrahedra
    • triangle
    Abstract


Rivara, Maria-Cecilia
    "New Mathematical Tools and Techniques for the Refinementand/or Improvement of Unstructured Triangulations", 5th International Meshing Roundtable, Sandia National Laboratories, pp.77-86, October 1996
    keywords:
    • longest edge
    • refinement
    • surface meshing
    • tetrahedron
    • triangle
    Abstract
    Download Full Paper (Postscript Format)


Rivara, Maria-Cecilia and Mauricio Palma
    "New Lepp-Algorithms for Quality Polygon and Volume Triangulation: Implementation Issues and Practical Behavior", AMD-Vol. 220 Trends in Unstructured Mesh Generation, ASME, pp.1-8, July 1997
    keywords:
    • LEPP
    • refinement
    • tetrahedra
    • triangles
    Abstract


Rivara, Maria-Cecilia and Patricio Inostroza
    "A Discussion on Mixed (Longest-Side Midpoint Insertion) Delaunay Techniques for the Triangulation Refinement Problem", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.335-346, October 1995
    keywords:
    • Delaunay
    • refinement
    • triangle
    Download Full Paper (Postscript Format)


Roache, P. J.
    "Perspective: A Method for Uniform Reporting of Grid Refinement Studies", Journal of Fluids Engineering, Transactions of the ASME, Vol 116, pp.405-413, 1994
    keywords:
    • CFD
    • error estimator
    • refinement
    Abstract


Ruppert, Jim
    "A Delaunay Refinement Alorithm for Quality 2-Dimensional Mesh Generation", Journal of Algorithms, pp.1-45, Feb 1994
    keywords:
    • aspect ratio
    • Delaunay
    • quality
    • refinement
    • triangulation
    • two-dimensional
    Abstract


Schmidt, Joe
    "correspondance regarding mesh refinement to Norm Jones"
    keywords:
    • mesh refinement


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, 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, 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:
    • hexahedron
    • mesh refinement
    • quadrilateral
    Abstract


Shahnasser, Harnid, Ward Morgan and A. Raghuram
    "A Dynamic Data Structure Suitable for Adaptive Mesh Refinement in Finite Element Method", Finite Elements in Analysis and Design, Elsevier, Vol 4, pp.237-247, 1988
    keywords:
    • data structure
    • Delaunay
    • triangle
    • refinement
    • adaptivity
    Abstract


Shewchuk, Jonathan Richard
    "Delaunay Refinement Mesh Generation", Dissertation, Carnegie Mellon University, May 1997
    keywords:
    • arbitrary precision
    • computational geometry
    • Delaunay triangulation
    • floating-point arithmetic
    • geometric robustness
    • refinement
    • tetrahedral mesh generation
    Abstract


Simpson, Bruce
    "How Efficient are Delaunay Refined Meshes? An Empirical Study", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.215-238, September 17-20 2006
    keywords:
    • Delaunay refinement
    • empirical study
    • error measure
    • adaptive delaunay refinement
    Abstract
    Download Full Paper (Postscript Format)


Simpson, Bruce
    "Experiments with Local Refinement Using Anisotropic Transformations", Lecture Notes: Princeton Conference, July 1996
    keywords:
    • anisotropy
    • refinement
    • triangle
    Abstract


Simpson, R. B. and P. Varlagas
    "Local Refinement for Anisotropic Mesh Generation", AMD-Vol. 220 Trends in Unstructured Mesh Generation, ASME, pp.25-35, July 1997
    keywords:
    • anisotropy
    • Delaunay
    • LEPP
    • refinement
    • triangles
    Abstract


Skalicky, T. and H.-G. Roos
    "Anisotropic mesh refinement for problems with internal and boundary layers", International Journal for Numerical Methods in Engineering, John Wiley, Vol 46, Num 11, pp.1933-1953, December 1999
    keywords:
    • adaptivity
    • anisotropic mesh refinement
    • anisotropy
    • boundary layers
    • CFD
    • convection-diffusion problems
    • hybrid
    • internal layers
    • layer-fitted meshes
    • refinement
    • stabilized finite element methods
    Abstract


Staten, M.L. and N.L. Jones
    "Local Refinement of Three-Dimensional Finite Element Meshes", Engineering with Computers, Springer-Verlag, Vol 13, pp.165-174, 1997
    keywords:
    • mixed element
    • refinement
    • templates
    Abstract


Staten, Matthew
    "Selective Refinement of Two and Three-Dimensional Finite Element Meshes", Master's Thesis, Department of Civil and Environmental Engineering, Brigham Young University, 1996
    keywords:
    • refinement
    • templates
    Abstract
    Download Full Paper (Postscript Format)


Staten, Matthew L. and Scott A. Canann
    "Post Refinement Element Shape Improvement for Quadrilateral Meshes", AMD-Vol. 220 Trends in Unstructured Mesh Generation, ASME, pp.9-16, July 1997
    keywords:
    • clean-up
    • quadrilaterals
    • refinement
    • topology
    Abstract
    Download Full Paper (Postscript Format)


Suarez, J.P., A. Plaza and G.F. Carey
    "Propagation path properties in iterative longest-edge refinement", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.79-90, Sept. 2003
    keywords:
    • LEPP
    • longest-edge bisection
    • refinement
    • triangle
    • propagation path
    Abstract
    Download Full Paper (Postscript Format)


Tack, L.H., R. Schneiders, J. Debye, R. Kopp, W. Oberschelp
    "Two- and three-dimensional remeshing, mesh refinement and application to simulation of micromechanical processes", Computational Materials Science, Elsevier, Vol 3, pp.241-246, 1994
    keywords:
    • hexahedron
    • quadrilateral
    • refinement
    • remeshing
    Abstract


Tristano, Joseph R. Zhijan Chen, D. Alfred Hancq and Wa Kwok
    "Fully automatic adaptive mesh refinement integrated into the solution process", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.307-314, Sept. 2003
    keywords:
    • h-adaptivity
    • refinement
    • adaptive mesh refinement
    Abstract
    Download Full Paper (Postscript Format)


Weiler, F. R. Schindler and R. Schneiders
    "Automatic Geometry-Adaptive Generation of Quadrilateral and Hexahedral Element Meshes for FEM", 5th International Conference on Numerical Grid Generation in Computational Field Simmulations, Mississippi State University, pp.689-697, April 1996
    keywords:
    • data structures
    • grid-based mesh generation
    • hexahedron
    • octree
    • quadtree
    • refinement
    Abstract


Wu, Heng and lain G. Currie
    "Implementation of an Adaptive Grid Technique in the Finite Element Solution of Viscous Flows", 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.361-370, July 1998
    keywords:
    • adaptivity
    • CFD
    • refinement
    • derefinement
    • triangle
    • data structure
    • error estimation
    Abstract


Wu, Z.; Sullivan, J. M.; Zhang, J. Q.
    "Automatic Refinement within an Adaptive Mesh Generation System", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.569-578, September 2000
    keywords:
    • anatomical mesh generation
    • automatic refinement
    Abstract


Xu, X., C.C. Pain, A.J.H. Goddard, C.R.E. de Oliveira
    "An automatic adaptive meshing technique for Delaunay triangulations", Computer methods in applied mechanics and engineering, Elsevier, Vol 161, pp.297-303, 1998
    keywords:
    • Delaunay
    • triangle
    • adaptivity
    • coarsening
    • refinement
    Abstract


Yang, H. and D.A. Hoeltzel
    "Automatic Finite Element Mesh Generation Over Intersecting Rigid Body-Movable Subdomains for the Automation of Parametric Conceptual Design", Journal of Mechanical Design, ASME, Vol 116, pp.1049-1057, December 1994
    keywords:
    • parametric design
    • refinement
    • tetrahedron
    Abstract


Contact author(s) or publisher for availability and copyright information on above referenced articles