Improved preconditioned conjugate gradient method and its application in finite element analysis for engineering (Q2368222)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Improved preconditioned conjugate gradient method and its application in finite element analysis for engineering |
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Improved preconditioned conjugate gradient method and its application in finite element analysis for engineering (English)
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24 August 1993
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Two theorems are given in respect to the preconditioned conjugate gradient method (PCCG). The theorems discuss respectively the qualitative property of the iterative solution and the construction principle of the iterative matrix. The authors put forward a new incompletely LU factorizing technique for non-\(M\)-matrix and the method of constructing the iterative matrix. This improved PCCG is used to calculate the ill- conditioned problems and large-scale three-dimensional finite element problems, and simultaneously contrasted with other methods.
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preconditioned conjugate gradient method
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iterative solution
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iterative matrix
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LU factorizing technique
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non-\(M\)-matrix
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ill-conditioned problems
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