Three-dimensional unstructured mesh generation. III: Volume meshes

DOI10.1016/0045-7825(95)00918-3zbMath0882.65111OpenAlexW1975406469MaRDI QIDQ1371881

Yao Zheng, David T. Gethin, Roland W. Lewis

Publication date: 14 December 1997

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(95)00918-3

zbMATH Keywords

performancealgorithmtriangulationsmoothingnumerical experimentsunstructured mesh generationsurface meshesnon-convex geometriesinterior point creationvolume meshes

Mathematics Subject Classification ID

Computational aspects related to convexity (52B55) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items

Redesign of a conformal boundary recovery algorithm for 3D Delaunay triangulation, Three-dimensional unstructured mesh generation. I: Fundamental aspects of triangulation and point creation, Three-dimensional unstructured mesh generation. II: Surface meshes, Efficient unstructured quadrilateral mesh generation, Algorithm for three-dimensional curved block cutting analysis in solid modeling, A novel approach of three-dimensional hybrid grid methodology. I: Grid generation., 2D and 3D finite element meshing and remeshing, Improved boundary constrained tetrahedral mesh generation by shell transformation, Automatic metric advancing front triangulation over curved surfaces

Uses Software

• FEView
• Forms library

Cites Work

• FEView: An interactive visualization tool for finite elements
• A paradigm for robust geometric algorithms
• Automatic mesh generator with specified boundary
• Constructing strongly convex hulls using exact or rounded arithmetic
• Delaunay triangulation in computational fluid dynamics
• Two simple algorithms for constructing a two-dimensional constrained Delaunay triangulation
• Relationship between tetrahedron shape measures
• Three-dimensional unstructured mesh generation. I: Fundamental aspects of triangulation and point creation
• Three-dimensional unstructured mesh generation. II: Surface meshes
• Constructing strongly convex approximate hulls with inaccurate primitives
• The integrity of geometrical boundaries in the two-dimensional delaunay triangulation
• An apporach to automatic three-dimensional finite element mesh generation
• Delaunay's mesh of a convex polyhedron in dimension d. application to arbitrary polyhedra
• Shape reconstruction and volume meshing for complex solids
• Delaunay versus max-min solid angle triangulations for three-dimensional mesh generation
• Efficient three‐dimensional Delaunay triangulation with automatic point creation and imposed boundary constraints
• Three‐dimensional adaptive finite element computations and applications to non‐Newtonian fluids