Automatic adaptive mesh generation using metric advancing front approach

Engineering Computations (Swansea, Wales)

Volumn 16, Issue 2, 1999, Pages 230-263

  Lee, C K ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER AIDED DESIGN; COMPUTER SIMULATION; GEOMETRY; STRETCHING; TENSORS; TWO DIMENSIONAL;

ADVANCING FRONT; MESH GENERATION;

FINITE ELEMENT METHOD;

EID: 0032637564     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644409910257494     Document Type: Article

References (29)

1. Baehmann, P.L., Wittchen, S.L., Shephard, M.S., Grice, K.R. and Yerry, M.A. (1987), "Robust, geometrically based, automatic two-dimensional mesh generation", Int. J. Numer. Methods Engrg, Vol. 24, pp. 1043-78.
2. Bonet, J. and Peraire, J. (1991), "An alternating digital tree (ADT) algorithm for 3D geometric searching and intersection problems", Int. J. Numer. Methods Engrg, Vol. 31, pp. 1-17.
3. Boroomand, B. and Zienkiewicz, O.C. (1997), "An improved REP recovery and the effectivity robustness test", Int. J. Numer. Methods Engrg, Vol. 40, pp. 3247-77.
4. Borouchaki, H. and Frey, P.J. (1998), "Adaptive triangular-quadrilateral mesh generation", Int. J. Numer. Methods Engrg, Vol. 41, pp. 915-34.
5. Borouchaki, H., George, P.L., Hecht, F., Laug, P. and Saltel, E. (1997a), "Delaunay mesh generation governed by metric specifications. Part I. Algorithms", Fin. Ele. Anal. Des., Vol. 25, pp. 61-83.
6. Borouchaki, H., George, P.L., Hecht, F., Laug, P. and Saltel, E. (1997b), "Delaunay mesh generation governed by metric specifications. Part II. Applications", Fin. Ele. Anal. Des., Vol. 25, pp. 85-109.
7. Frey, W.H. (1987), "Selective refinement: a new strategy for automatic node placement in graded triangular meshes", Int. J. Numer. Methods Engrg, Vol. 24, pp. 2183-200.
8. George, P.L. (1991), Automatic Mesh Generation, Application to Finite Element Methods, John Wiley & Sons, New York and Chichester.
9. George, P.L. and Seveno, E. (1994), "The advancing-front mesh generation method revisited", Int. J. Numer. Methods Engrg, Vol. 37, pp. 3605-19.
10. Gordon, W.J. and Hall, C.A. (1973), "Construction of curvilinear co-ordinate systems and applications to mesh generation", Int. J. Numer. Methods Engrg, Vol. 7, pp. 461-77.
11. Graysmith, J.L. and Shaw, C.T. (1997), "Automated procedures for Boolean operations on finite element meshes", Eng. Comput., Vol. 14, pp. 702-17.
12. Hinton, E. and Huang, H.C. (1986), "Shear forces and twisting moments in plates using Mindlin elements", Engrg Computations, Vol. 3, pp. 129-42.
13. Ho-Le, K. (1988), "Finite element mesh generation methods: a review and classification", Comput. Aided Des., Vol. 20, pp. 27-38.
14. Lee, C.K. and Hobbs, R.E. (1998a), "Automatic adaptive finite element mesh generation over rational B-spline surfaces", Comput. and Struct., Vol. 69, pp. 577-608.
15. Lee, C.K. and Hobbs, R.E. (1998b), "Automatic adaptive refinement for plate bending problems using Reissner-Mindlin plate bending elements", Int. J. Numer. Methods Engrg, Vol. 41, pp. 1-63.
16. Lee, C.K. and Lo, S.H. (1994), "A new scheme for the generation of a graded quadrilateral mesh", Comput. and Struct., Vol. 52, pp. 847-57.
17. Lee, T., Park, H.C. and Lee, S.W. (1997), "A superconvergent stress recovery technique with equilibrium constraint", Int. J. Numer. Methods Engrg, Vol. 40, pp. 1139-60.
18. Lo, S.H. (1989), "Generating quadrilateral elements on plane and over curved surfaces", Comput. Struct., Vol. 31, pp. 421-6.
19. Lo, S.H. (1991), "Automatic mesh generation and adaptation by using contours", Int. J. Numer. Methods Engrg, Vol. 31, pp. 689-707.
20. Lo, S.H. and Lee, C.K. (1992), "On using meshes of mixed element types in adaptive finite element analysis", Fin. Ele. Anal. and Des., Vol. 11, pp. 307-36.
21. Lohner, R. (1997), "Automatic unstructured grid generators", Fin. Ele. Anal. Des., Vol. 25, pp. 111-34.
22. Moller, P. and Hansbo, P. (1995), "On advancing front mesh generation in three dimensions", Int. J. Numer. Methods Engrg, Vol. 38, pp. 3551-69.
23. Peraire, J., Peiro, J., Morgan, K. and Zienkiewicz, O.C. (1987), "Finite element mesh generation and adaptive procedure for CFD", Proceedings of GAMNI/SMAI Conference on Automatic and Adaptive Mesh Generation, Grenoble, France, 1-2 October.
24. Potyondy, D.O., Wawrzynek, P.A. and Ingraffea, A.R. (1995), "An algorithm to generate quadrilateral or triangular element surface meshes in arbitrary domains with applications to crack propagation", Int. J. Numer. Methods Engrg, Vol. 38, pp. 2677-701.
25. Shephard, M.S. and Georges, M.K. (1991), "Automatic three-dimensional mesh generation by the finite octree technique", Int. J. Numer. Methods Engrg, Vol. 32, pp. 709-49.
26. Simmons, G.F. (1963), Introduction to Topology and Modern Analysis, McGraw-Hill International Editions, New York and London.
27. Watson, D.F. (1981), "Computing the n-dimensional Delaunay tessellation with application to Voronoi polytopes", Comput. J., Vol. 24, pp. 167-72.
28. Wu, S.H. and Abel, J.F. (1979), "Representation and discretization of arbitrary surfaces for finite element shell analysis", Int. J. Numer. Methods Engrg, Vol. 14, pp. 813-36.
29. Zienkiewicz, O.C. and Zhu, J.Z. (1991), "Adaptivity and mesh generation", Int. J. Numer. Methods Engrg, Vol. 32, pp. 783-810.