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Robust FETI-DP methods for heterogeneous three dimensional elasticity problems
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DOI：10.1016/j.cma.2006.03.023.png)
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Abstract
En 中文
Iterative substructuring methods with Lagrange multipliers are considered for heterogeneous linear elasticity problems with large discontinuities in the material stiffnesses. In particular, results for algorithms belonging to the family of dual-primal FETI methods are presented. The core issue of these algorithms is the construction of an appropriate global problem, in order to obtain a robust method which converges independently of the material discontinuities. In this article, several necessary and sufficient conditions arising from the theory are numerically tested and confirmed. Furthermore, results of numerical experiments are presented for situations which are not covered by the theory, such as curved edges and material discontinuities not aligned with the interface, and an attempt is made to develop rules for these cases. (c) 2006 Elsevier B.V. All rights reserved.
Keywords:
domain decomposition
Lagrange multipliers
FETI
preconditioners
elliptic systems
elasticity
finite elements
parallel computing
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