The propagation problem in longest-edge refinement

Finite Elements in Analysis and Design

Volumn 42, Issue 2, 2005, Pages 130-151

  Suárez, José P ^a   Plaza, Ángel ^a   Carey, Graham F ^b  

^a UNIVERSITY OF LAS PALMAS DE GRAN CANARIA   (Spain)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Longest edge; Mesh refinement; Propagation path

Indexed keywords

COMPUTER AIDED DESIGN; COMPUTER GRAPHICS; FINITE ELEMENT METHOD; FINITE VOLUME METHOD; PROBLEM SOLVING;

ITERATIVE MESH REFINEMENT; LONGEST EDGE; MESH REFINEMENT; PROPAGATION PATH;

ITERATIVE METHODS;

EID: 27144497554     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.finel.2005.06.005     Document Type: Article

References (16)

1. M.C. Rivara, and M. Vemere Cost analysis of the longest-side (triangle bisection) refinement algorithm for triangulation Eng. Comput. 12 1996 224 234
2. I.G. Rosenberg, and F. Stenger A lower bound on the angles of triangles constructed by bisecting the longest side Math. Comput. 29 1975 390 395
3. M.T. Jones, and P.E. Plassmann Adaptive refinement of unstructured finite-element meshes Finite Elements Anal. Des. 25 1-2 1997 41 60
4. J.P. Suárez, A. Plaza, G.F. Carey, Propagation path properties in iterative longest-edge refinement, in: Proceedings of the Twelfth International Meshing Roundtable'03, SANDIA Report SAND 2003-3030P, 2003, pp. 79-90.
5. A. Plaza, J.P. Suárez, M.A. Padrón, S. Falcón, and D. Amieiro Mesh quality improvement and other properties in the four-triangles longest-edge partition Comput. Aid. Geom. Design. 21 4 2004 353 369
6. M.C. Rivara, and G. Iribarren The 4-triangles longest-side partition of triangles and linear refinement algorithms Math. Comput. 65 216 1996 1485 1502
7. M.C. Rivara, New mathematical tools and techniques for the refinement and/or improvement of unstructured triangulations, in: Proceedings of the Fifth International Meshing Roundtable'96, SANDIA Report SAND 96-2301, 1996, pp. 77-86.
8. T. Linss, H.-R. Roos, and R. Vulanovic Uniform pointwise convergence on shishkin-type meshes for quasi-linear convection-diffusion problems SIAM J. Numer. Anal. 38 3 2000 897 912
9. G.I. Shishkin Grid approximation of singularly perturbed boundary value problems with convective terms Soviet J. Numer. Anal. Math. Modelling 5 1990 327 343
10. J.L. Steger, F.C. Dougherty, J.A. Benek, in: K.N. Guia, U. Guia (Eds.), Advances in Grid Generation, volume ASME FED-vol 5, Chimera Grid Scheme, June 1983 (Chapter A).
11. C. Johnson Numerical Solution of Partial Differential Equations by the Finite Element Method 1987 Studentlitteratur Lund
12. S.A. Mitchell, and S.A. Vavasis Quality mesh generation in higher dimensions SIAM J. Comput. 29 4 2000 1334 1370
13. A. Plaza, and G.F. Carey Local refinement of simplicial grids based on the skeleton Appl. Numer. Math. 32 2 2000 195 218
14. A. Plaza, M.A. Padrón, and G.F. Carey A 3d refinement/ derefinement combination for solving evolution problems Appl. Numer. Math. 32 4 2000 401 418
15. A. Liu, and B. Joe Quality local refinement of tetrahedral meshes based on bisection SIAM J. Sci. Statist. Comput. 16 1995 1269 1291
16. A. Plaza, M.A. Padrón, J.P. Suárez, The 8-tetrahedra longest-edge partition of right-type tetrahedra, Finite Elements Anal. Des., 41 (3) (2004) 253-265.