Efficient FEM calculation with predefined precision through automatic grid refinement

Finite Elements in Analysis and Design

Volumn 41, Issue 11-12, 2005, Pages 1043-1055

  Cavin, P ^a   Gravouil, A ^a   Lubrecht, A A ^a   Combescure, A ^a  

^a UNIVERSITÉ DE LYON   (France)

Author keywords

Automatic local mesh refinement; Error indicator; Predefined precision

Indexed keywords

CALCULATIONS; COMPUTATIONAL METHODS; ELASTICITY; ERROR ANALYSIS; FINITE ELEMENT METHOD; MATRIX ALGEBRA; MECHANICAL PROPERTIES; STRESS ANALYSIS;

AUTOMATIC LOCAL MESH REFINEMENT; ERROR INDICATOR; LINEAR ELASTICS; PREDEFINED PRECISION;

BEAMS AND GIRDERS;

EID: 18844455523     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.finel.2004.09.004     Document Type: Article

References (18)

1. A. Brandt Multi-level adaptative technique (mlat) for fast numerical solution to boundary value problèms Lecture Notes Phys. 18 1977 82 89
2. A. Brandt, Multigrid Techniques: 1984 Guide with Applications to Fluid Dynamics, GMD-Studien Editions, 1984.
3. M. Adams Evaluation of three unstructured multigrid methods on 3d finite element problems in solids mechanics Int. J. Numer. Methods Eng. 55 2002 519 534
4. M. Adams, and R.L. Taylor Parallel multigrid solvers for 3d-unstructured large deformation elasticity and plasticity finite element problems Finite Element Anal. Des. 36 2000 197 210
5. S. Kacou, and I.D. Parsons A parallel multigrid method for history-dependent elastoplasticity computations Comput. Methods Appl. Mech. Eng. 108 1993 1 21
6. A. Gravouil, and A. Combescure Multi-time-step and two-scale domain decomposition method for non-linear structural dynamics Int. J. Numer. Methods Eng. 58 2003 1545 1569
7. T. Strouboulis, I. Babuska, and K. Copps The design and analysis of the generalized finite element method Comput. Methods Appl. Mech. Eng. 181 2000 43 69
8. S. Prudhomme, J.T. Oden, T. Westermann, J. Bass, and M.E. Botkin Practical methods for a posteriori error estimation in engineering applications Int. J. Numer. Methods Eng. 56 2003 1193 1224
9. P. Ladevèze, J.-P. Pelle, La Maîtrise du Calcul en Mécanique Linéaire et non Linéaire, lavoisier editions, 2001.
10. O.C. Zienkiewicz, and J.Z. Zhu A simple error estimator and adaptative procedure for practical engineering analysis Int. J. Numer. Methods Eng. 24 1987 337 357
11. P. Nithiarasu, and O.C. Zienkiewicz Adaptative mesh generation for fluid mechanics pb Int. J. Numer. Methods Eng. 47 2000 629 662
12. J. Fish, The s-version of the finite element method, SCOREC Report No. 18-1990 Rensselaer Polytechnic Institute Troy, Comput. Struct. 43 (1990) 593-647.
13. P. Krysl, E. Grinspun, and P. Schröder Natural hierarchical refinement for finite element methods Int. J. Numer. Methods Eng. 56 2003 1109 1124
14. J. Lang, W. Cao, W. Huang, and R.D. Russell A two-dimensional moving finite element method with local refinement based on a posteriori error estimates Appl. Numer. Math. 46 2003 75 94
15. J.W. Park, Y.H. Kim, and J.W. Hwang Efficient finite element analysis using mesh superposition technique Finite Element Anal. Des. 39 2003 619 638
16. O.C. Zienkiewicz, R.L. Taylor, The Finite Element Method, vol. 1, fourth ed., McGraw-Hill, New York, 1989.
17. P. Verpeaux, T. Charras, A. Millard, Castem 2000 une approche moderne du calcul des structures, in: J.M. Fouet, P. Ladevèze, R. Ohayon (Eds.), Calcul des Structures et Intelligence Artificielle, Pluralis, 1988, pp. 261-271.
18. P. Verpeaux, A. Millard, Castem 2000, guide du développement, Commissariat à l'énergie Atomique, Rapport DMT, 1991.