Partitioning and preconditioning of finite element matrices on the DAP (Q1109523)
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scientific article; zbMATH DE number 4070175
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Partitioning and preconditioning of finite element matrices on the DAP |
scientific article; zbMATH DE number 4070175 |
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Partitioning and preconditioning of finite element matrices on the DAP (English)
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1988
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A method for solving large sparse systems of linear algebraic equations that arise from finite-element discretisations is proposed. The method is based on a fine domain decomposition that can be conveniently mapped onto processor array for parallel SIMD architectures with limited local memory. The equations are structured using a form of one-way dissection and then the equations are solved by an iteration that combines cg- relaxation with coarse grid smoothing. Also numerical experiments using 64\(\times 64\) processor array (DAP) are given.
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finite elements
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preconditioned cg-method
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large sparse systems
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domain decomposition
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parallel SIMD architectures
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cg-relaxation
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coarse grid smoothing
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numerical experiments
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