Finite Element Mesh Generation

ISBN: 9781138749245 出版年：2014 页码：641 Lo, Daniel S H CRC Press

Introduction Finite element method What is finite element mesh generation? Why finite element mesh generation? Problem definition, scope and philosophy, science or art? General strategies, robustness, difficulties and methodologies Mathematics Historical development So far achieved and what lies ahead Topics discussed in the chapters Fundamentals Introduction Notations, symbols and abbreviations Terminologies and data structures Geometrical operations and formulas Topological operations and algorithms Sorting Background grid Mesh generation on planar domain Introduction Structured mesh on planar domain Unstructured mesh on planar domain Meshing by quadtree decomposition Delaunay triangulation (DT) Advancing front approach Meshing by a combined scheme of DT and ADF approach Enhanced quadtree meshing Quadrilateral mesh Mesh generation over curved surfaces Introduction Parametric mapping method Mesh generation by packing ellipses Direct mesh generation on surface Mesh generation by surface intersection Quadrilateral surface mesh Mesh generation in three dimensions Introduction Delaunay triangulation (3D) Boundary recovery for 3D DT Boundary protection in DT Generation of tetrahedral mesh by ADF approach Delaunay-ADF meshing Generation of tetrahedral mesh by sphere packing Generation of hexahedral mesh Mesh optimisation Introduction Shape measure and quality coefficient Optimisation by shifting of nodes Optimisation by topological operations Mesh generation by parallel processing Introduction Fundamentals and strategies Parallel Delaunay triangulation in 2D Parallel Delaunay triangulation in 3D Partition of discretised surface for parallel processing Auxiliary meshing techniques Surface verification and preparation Multi-grid insertion of non-uniform point distributions (2D) Multi-grid insertion of non-uniform point distributions (3D) Mesh generation and adaptation by edge refinement Meshing volume bounded by analytical curved surfaces Merging of tetrahedral meshes Merging of hexahedral meshes Curvilinear finite element mesh Adaptive refinement analysis References Appendix Index