An adaptive mesh refinement of quadrilateral finite element meshes based upon a posteriori error estimation of quantities of interest: Linear static response

Engineering with Computers

Volumn 20, Issue 1, 2004, Pages 31-37

  Botkin, Mark E ^a   Wang, Hui Ping ^a  

^a GENERAL MOTORS CORPORATION   (United States)

Author keywords

A posteriori error estimation; Adaptive refinement; Error analysis; Finite element analysis; Mesh generation

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER AIDED DESIGN; ERROR ANALYSIS; FINITE ELEMENT METHOD; LINEAR EQUATIONS; MATHEMATICAL MODELS;

A POSTERIORI ERROR ESTIMATION; ADAPTIVE REFINEMENT; MESH GENERATION;

COMPUTER SIMULATION;

EID: 20344389525     PISSN: 01770667     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00366-004-0271-9     Document Type: Article

References (17)

1. Zienkiewicz OC, Zhu JZ (1987) A simple error estimator and adaptive procedure for practical engineering analysis. Int J Numer Meth Eng 24:337-357.
2. Lee JM (1997) MSC/Nastran Version 69+ Linear Static Analysis User's Guide, The MacNeal-Schwendler Corporation
3. Zienkiewicz OC, Zhu JZ (1992) Superconvergent patch recovery techniques and a posteriori error estimation, part I: The recovery technique. Int J Numer Meth Eng 33:1331-1364.
4. Zienkiewicz OC, Zhu JZ (1992) Superconvergent patch recovery techniques and a posteriori error estimation, Part II: Error estimates and adaptivity. Int J Numer Meth Eng 33:1365-1382.
5. Ainsworth M, Oden JT (1997) A posteriori error estimation in finite element analysis. Comput Meth Appl Mech Eng 142:1-88.
6. Oden JT, Prudhomme S (2001) Goal-oriented error estimation and adaptivity for the finite element method. Comput Math Appl 41:735-756.
7. Prudhomme S, Oden JT, Westermann T, Bass J, Botkin ME (2003) Practical methods for a posteriori error estimation in engineering applications. Int J Numer Meth Eng 56(8):1193-1224.
8. Botkin ME, Wentorf R, Karamete BK, Raghupathy R (2001) Adaptive refinement of quadrilateral finite element shell meshes AIAA-2001-1400. In: Proceedings of the AIAA SDM Conference, Seattle, WA,16-19 April 2001
9. Karamete BK, Garimella RV, Shephard MS (1999) Edge recovery method on an existing surface mesh for boundary layer meshing. In: Proceedings of the Fifth US National Congress on Computational Mechanics, 2nd Symposium on Trends in Unstructured Mesh Generation, Boulder, CO, 4-6 August 1999
10. Owen SJ, Staten, Canann SA, Saigal S (1999) Q-Morph: An indirect approach to advancing front quad meshing. Int J Numer Meth Eng 44:1317-1340.
11. Lee CK, Lo SH (1994) A new scheme for the generation of a graded quadrilateral mesh. Comp Struct 52:847-857.
12. Kinney P (1997) Clean up: Improving quadrilateral finite element meshes. In: Proceedings of the 6th International Meshing Roundtable, Park City, UT, 13-15 October 1997
13. De Cougny HL, Shephard MS (1999) Parallel refinement and coarsening of tetrahedral meshes. IJNME 46:1101-1125.
14. Blacker TD, Stevenson MB (1991) Paving: A new approach to automatic quadrilateral meshing technique. Adv Eng Software 13(5-6):811-847
15. Mantle JB, Dolan TJ (1948) A photoelastic study of stresses in U-shaped members. Proc Soc Exp Stress Anal 6(1)
16. EDS Corporation (2004) http://support.ugs.com/docs/ug/v18/. Cited 2004
17. Botkin ME (2000) Modeling and optimal design of a carbon fiber reinforced composite automotive roof. Int J Eng Comput 16(1):16-23.