Two-grid algorithms for linear and nonlinear elliptic problems based on HSS iteration method (Q2917765)
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scientific article; zbMATH DE number 6089003
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two-grid algorithms for linear and nonlinear elliptic problems based on HSS iteration method |
scientific article; zbMATH DE number 6089003 |
Statements
1 October 2012
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two-grid algorithm
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finite element
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HSS iteration method
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convection-diffusion problems
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Hermitian/skew-Hermitian iteration method
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elliptic problem
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convergence
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viscous Burgers' equation
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Two-grid algorithms for linear and nonlinear elliptic problems based on HSS iteration method (English)
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This paper is devoted to the Hermitian/skew-Hermitian (HSS) iteration method which is used for the solution of an either linear or nonlinear nonsymmetric elliptic problem in two-dimensional domains. The solution is based on a two-level algorithm. The nonlinear nonsymmetric system is reduced to two linear systems on the fine level and the original system on the coarse level. The convergence of the algorithm is analyzed for both linear and nonlinear systems. The performance of the algorithms is demonstrated on the solution of the convection-diffusion problem or the viscous Burgers' equation.
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