This paper presents a parallel mixed direct/iterative method for solving linear systems Ax = b arising from circuit simulation. The systems are solved by a block LU factorization with an iterative method for the Schur complement. The Schur complement is a small and rather dense matrix. Direct LU dec
On a parallel multilevel solver for linear elasticity problems
β Scribed by Alexander Padiy
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 150 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1070-5325
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β¦ Synopsis
In this paper an application of the additive multilevel iteration method to parallel solving of large-scale linear elasticity problems is considered. The results are derived in the framework of the hierarchical basis finite element discretization defined on a tensor product
xy β Tz of one-dimensional grid Tz and a sequence of nested triangulations T (i) xy . The algorithm was tested on a number of model problems, arising from bridge foundation modeling. Parallel performance of the solver is reported for Cray T3E-600 and Sun ES/4000 computer systems.
π SIMILAR VOLUMES
The paper discusses an iterative scheme for solving large-scale three-dimensional linear elasticity problems, discretized on a tensor product of two-dimensional and one-dimensional meshes. A framework is chosen of the additive AMLI method to develop a preconditioner of a `black-box' type which is ro
The discretized linear elasticity problem is solved by the preconditioned conjugate gradient (pcg) method. Mainly we consider the linear isotropic case but we also comment on the more general linear orthotropic problem. The preconditioner is based on the separate displacement component (sdc) part of
This paper presents a newly developed iterative algorithm for solving problems of linear isotropic elasticity discretized by means of mixed ΓΏnite elements. It continues work started in References 1-5. The proposed method uses a pressure Schur complement approach to solve a saddle-point system arisin
Finite element models of linear elasticity arise in many application areas of structural analysis. Solving the resulting system of equations accounts for a large portion of the total cost for large, three-dimensional models, for which direct methods can be prohibitively expensive. Preconditioned Con