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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Vydáno v:Computer methods in applied mechanics and engineering Ročník 174; číslo 1; s. 191 - 201
Hlavní autor: Xu, Xuejun
Médium: Journal Article
Jazyk:angličtina
Vydáno: Amsterdam Elsevier B.V 04.05.1999
Elsevier
Témata:
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
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Shrnutí: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.
Bibliografie:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0045-7825
1879-2138
DOI:10.1016/S0045-7825(98)00313-2