Incomplete factorization-based preconditionings for solving the Helmholtz equation (Q2709661)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Incomplete factorization-based preconditionings for solving the Helmholtz equation |
scientific article |
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26 July 2001
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Helmholtz equation
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finite elements
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large sparse linear systems
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spectral bounds
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Krylov subspace methods
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numerical experiments
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preconditioning
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incomplete factorization
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Incomplete factorization-based preconditionings for solving the Helmholtz equation (English)
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A new preconditioning technique based on incomplete factorization of matrices has been proposed to solve highly indefinite complex-symmetric linear systems. The real part of the matrix is first made positive defined by adding appropriate diagonal perturbations. A significant savings of the number of the generalized minimal residual steps has been obtained. Numerical experiments have shown the efficiency of the new preconditioning.
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