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Two-grid method for linear elasticity on unstructured meshes

delete1999-01-01
delete49
PRE
AI
P
Petr Vaněk *
M
Marian Brezina
R
Radek Tezaur
DOI：10.1137/S1064827596297112delete
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Abstract

Abstract

En 中文
We propose an abstract two-grid algorithm with convergence independent of the coarse-space size. The abstract algorithm is applied to problems of three-dimensional linear elasticity discretized on unstructured meshes. With no regularity assumptions we prove uniform convergence with respect to coarse-space size, domain, essential boundary conditions, and jumps in Young modulus. Numerical experiments confirm the theory and show that the method works well even if some assumptions of the theory are violated.
Keywords:
convergence independent of the coarse-space size
unstructured meshes
black-box solver
smoothed tentative prolongator
three-dimensional elasticity
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Journal

SIAM Journal on Scientific Computing cover
SIAM Journal on Scientific Computing
IF:
2.6
Papers:
5.1K
Citations:
1.8W

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