Mosaic-skeleton method as applied to the numerical solution of three-dimensional Dirichlet problems for the Helmholtz equation in integral form (Q327245)
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scientific article; zbMATH DE number 6640650
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mosaic-skeleton method as applied to the numerical solution of three-dimensional Dirichlet problems for the Helmholtz equation in integral form |
scientific article; zbMATH DE number 6640650 |
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Mosaic-skeleton method as applied to the numerical solution of three-dimensional Dirichlet problems for the Helmholtz equation in integral form (English)
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19 October 2016
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The numerical solution of interior and exterior Helmholtz problems with Dirichlet boundary condition is considered in three dimensions. The problem at hand is reformulated as a first kind boundary integral equation which is approximated by a system of linear algebraic equations. This system is solved numerically by the iteration method. To speed up the solution procedure, the mosaic-skeleton method is used.
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Dirichlet problem
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Helmholtz equation
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fast method
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mosaic-skeleton method
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incomplete cross approximation
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boundary integral equation
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iteration method
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