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Overview and Classification of Finite Element Mesh Generation Methods

MESHING
RESEARCH
CORNER

Aurenhammer, Franz

    "Voronol Diagrams -A Survey of a Fundamental Geometric Data Structure", ACM Computing Surveys, ACM, Vol 23, Num 3, pp.345-405, September 1991
    keywords:
    • Voronoi
      		•
    • bibliography
    Abstract

Bern, Marshall and Paul Plassmann
    "Mesh Generation", Manuscript, submitted for publication, 1996
    keywords:
    • classification
      		•
    • overview
    Abstract

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
    Download Full Paper (Postscript Format)

Canann, Scott A. Sunil Saigal and Steven J. Owen ed.
    "Special Edition on Unstructured Mesh Generation", International Journal for Numerical Methods in Engineering, Wiley, Vol 1, Num 49, 2000
    keywords:
    • overview
      		•
    Abstract

Canann, Scott A., Yong-Cheng Liu and Anton V. Mobley
    "Automatic 3D Surface Meshing to Address Today's Industrial Needs", 1996
    keywords:
    • commercial
      		•
    • overview
    • tetrahedron
      		•
    • triangle
    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

Finite Elements in Analysis and Design
    "Special Volume on Adaptive Meshing", Finite Elements in Analysis and Design, Elsevier, Vol 25, Num 1, pp.359-360, 1997
    keywords:
    • adaptivity
      		•
    • overview
    Abstract

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

George, P.L.
    "Automatic Mesh Generation: Application to Finite Element Methods", Wiley, pp.333, 1991
    keywords:
    • advancing front
      		•
    • Delaunay
    • mapped
      		•
    • mulit-block
    • octree
      		•
    • overview
    • surface meshing
      		•
    • Voronoi
    Abstract

George, Paul Louis
    "Tet Meshing: Construction, Optimization, And Adaptation", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.133-141, October 1999
    keywords:
    • tetrahedra
      		•
    • constrained triangulation
    • Delaunay
      		•
    • overview
    • adaptivity
      		•
    • optimization
    • smoothing
      		•
    Abstract
    Download Full Paper (Postscript Format)

George, Paul-Louis and Houman Borouchaki
    "Delaunay Triangulation and Meshing: Application to Finite Elements", Hermes, pp.413, 1998
    keywords:
    • adaptivity
      		•
    • anisotropy
    • boundary-constrained
      		•
    • data structures
    • Delaunay
      		•
    • line meshing
    • overview
      		•
    • parametric surface
    • Reimann metric
      		•
    • tetrahedra
    • triangle
      		•
    Abstract

Ho-Le K.
    "Finite Element Mesh Generation Methods: A Review and Classification", Computer Aided Design, Butterworth & Co. Ltd, Vol 1, Num 20, pp.27-38, Jan/Feb 1988
    keywords:
    • classification
      		•
    • Delaunay triangulation
    • finite elements
      		•
    • smoothing
    • three dimensional
      		•
    • two-dimensional
    Abstract

Machine Design
    "A short course on how meshers work", Machine Design, Penton, pp.90-91, May 1999
    keywords:
    • overview
      		•
    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
      		•

Magnenat-Thalmann, Nadia and Daniel Thalmann
    "An Indexed Bibliography on Comuter Animation", IEEE Computer Graphics and Applications, IEEE, pp.76-86, July 1985
    keywords:
    • animation
      		•
    • bibliography

Mavriplis, D. J
    "Unstructured Mesh Generation and Adaptivity", ICASE Report No. 95-26, NASA Langley Research Center, pp.45, April 1995
    keywords:
    • adaptivity
      		•
    • anisotropy
    • classification
      		•
    • Delaunay
    • node location
      		•
    • overview
    • tetrahedra
      		•
    • triangle
    Abstract

O'Rourke, Joseph
    "Computational Geometry in C (Second Edition)", Cambridge University Press, pp.376, October 1998
    keywords:
    • computational geometry
      		•
    • source code
    • Delaunay
      		•
    • overview
    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
    Download Full Paper (Postscript Format)

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)

Sabin
    "Criteria For Comparison of Automatic Mesh Generation Methods", Advances in Engineering Software, Elsevier, Vol 13, Num 5, pp.220-225, 1991
    keywords:
    • classification
      		•
    • finite elements
    Abstract

Shephard, Mark S
    "Update to: Approaches to the automatic generation and control of finite element meshes", Appl Mech Rev, ASME, Vol 49, Num 10, pp.S5-S14, October 1996
    keywords:
    • anisotropy
      		•
    • CAD
    • classification
      		•
    • hexahedra
    • improvement
      		•
    • overview
    • parallel
      		•
    • tetrahedra
    Abstract

Shephard, Mark S. and Peter M. Finnigan
    "Toward Automatic Model Generation", State-of-the-Art Surveys on Computational Mechanics, eds. Ahmed K. Noor and J. Tinsley Oden, ASME, Vol 11, pp.335-366, 1991
    keywords:
    • data structure
      		•
    • overview
    • octree
      		•
    • tetrahedra
    • artificial intelligence
      		•
    Abstract

Shimada, Kenji. Editor
    "The 8th International Meshing Roundtable Special Issue: Advances in Mesh Generation", Computer Aided Design, Elsevier, Vol 33, Num 3, pp.197, March 2001
    keywords:
    • special edition
      		•
    • overview
    • International Meshing Roundtable
      		•
    Abstract

Soni, Bharat K.
    "Grid generation: Past, present, and future", Applied Numerical Mathematics, Elsevier, Vol 32, pp.361-369, 2000
    keywords:
    • CFD
      		•
    • structured
    • overview
      		•
    Abstract

Tautges, Timothy J., David R. White and Robert W. Leland
    "Twelve Ways to Fool the Masses When Describing Mesh Generation Performance", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.181-190, September 19-22 2004
    keywords:
    • hexahedra
      		•
    • quadrilateral
    • geometry decomposition
      		•
    • classification
    • overview
      		•
    Abstract
    Download Full Paper (Postscript Format)

Thompson, Joe
    "Numerical Grid Generation, Foundation and Applications", Elsevier, 1985
    keywords:
    • adaptivity
      		•
    • algebraic generation
    • CFD
      		•
    • conformal mapping
    • elliptic
      		•
    • hyperbolic
    • mapped meshing
      		•
    • overview
    • parabolic
      		•
    • structured meshing
    Abstract

Thompson, Joe and Nigel P. Weatherill
    "Aspects of Numerical Grid Generation: Current Science and Art", AIAA-93-3593-CP, pp.1029-1070
    keywords:
    • bibliography
      		•
    • classification
    Abstract

Thompson, Joe F.
    "A Reflection on Grid Generation in the 90s: Trends, Needs and Influences", 5th International Conference on Numerical Grid Generation in Computational Field Simulations, Mississsippi State University, pp.1029-1110, April 1996
    keywords:
    • bibliography
      		•
    • classification
    Abstract

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