Algebraic mesh quality metrics for unstructured initial meshes

Finite Elements in Analysis and Design

Volumn 39, Issue 3, 2003, Pages 217-241

  Knupp, Patrick M ^a  

^a SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

Mesh quality metrics

Indexed keywords

ALGORITHMS; ASPECT RATIO; COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; FUNCTIONS; MATRIX ALGEBRA;

MESH QUALITY METRICS;

STRUCTURAL ANALYSIS;

EID: 0037210021     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-874X(02)00070-7     Document Type: Article

References (10)

1. L. Freitag, P. Knupp, Tetrahedral element shape optimization via the Jacobian determinant and condition number, Proceedings of the Eighth International Meshing Round Table, Lake Tahoe CA, 1999, pp. 247-258.
2. Field D.A. Qualitative measures for initial meshes. Int. J. Num. Meth. Eng. 47:2000;887-906.
3. Knupp P. Algebraic mesh quality measures. SIAM J. Sci. Comput. 23(1):2001;193-218.
4. H. Borouchaki, F. Hecht, P. Frey, Mesh gradation control, Sixth International Meshing Round Table, Park City, UT, 1997, pp. 131-141.
5. Babuska I., Aziz A. On the angle condition in the finite element method. SIAM J. Numer. Anal. 13:1976;214-226.
6. Bank R.E., Xu J. An algorithm for coarsening unstructured meshes. Numer. Math. 73:1996;1-36.
7. J. Dompierre, P. Labbe, F. Guibault, R. Camerero, Proposal of benchmarks for 3D unstructured tetrahedral mesh optimization, Proceedings of the Seventh International Meshing Round Table '98, Dearborn MI, 1998, pp. 459-478.
8. Robinson J. CRE method of element testing and the Jacobian shape parameters. Eng. Comput. 4:1987;113-118.
9. W. Kwok, Z. Chen, A simple and effective mesh quality metric for hexahedral and wedge elements, Proceedings of the Ninth International Meshing Round Table, New Orleans LA, 2000, pp. 325-333.
10. S. Kelly, Element shape testing, 9th Edition, ANSYS Theory Reference, 1998 (Chapter 13).