Multilevel methods for Wilson element approximation of elasticity problem

In this paper, a multilevel preconditioner and a V-cycle multigrid algorithm are presented for Wilson nonconforming element approximation of elasticity problem. The condition number of the multilevel preconditioner is shown to be bounded by a constant independent of mesh size and mesh level. Moreove...

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Veröffentlicht in:Computer methods in applied mechanics and engineering Jg. 174; H. 1; S. 191 - 201
1. Verfasser: Xu, Xuejun
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Amsterdam Elsevier B.V 04.05.1999
Elsevier
Schlagworte:
Computational techniques
Exact sciences and technology
Finite-element and galerkin methods
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Physics
Solid mechanics
Static elasticity
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Conjugate gradient method
Finite element method
Multigrid
Non conforming finite element
Elasticity
Numerical method
Preconditioning
Structural analysis
ISSN:0045-7825, 1879-2138
Online-Zugang:Volltext
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Zusammenfassung:In this paper, a multilevel preconditioner and a V-cycle multigrid algorithm are presented for Wilson nonconforming element approximation of elasticity problem. The condition number of the multilevel preconditioner is shown to be bounded by a constant independent of mesh size and mesh level. Moreover, optimal convergence rate of the V-cycle multigrid algorithm is obtained. A numerical example is given to illustrate the efficiency of our methods.
Bibliographie:ObjectType-Article-2
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content type line 23
ISSN:0045-7825
1879-2138
DOI:10.1016/S0045-7825(98)00313-2