A multilevel additive Schwarz method for a hypersingular integral equation on an open curve with graded meshes (Q1030786)
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scientific article; zbMATH DE number 5574600
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A multilevel additive Schwarz method for a hypersingular integral equation on an open curve with graded meshes |
scientific article; zbMATH DE number 5574600 |
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A multilevel additive Schwarz method for a hypersingular integral equation on an open curve with graded meshes (English)
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2 July 2009
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The author applies the additive Schwarz method for solving of integral equations of the first kind for the uniform \(h\)-version of the Galerkin method on an algebraically graded mesh (two-dimensional case is considered). It is proved that the condition number of the preconditioned system grows only polylogarithmically with respect to the number of unknowns. Numerical examples are given.
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additive Schwarz method
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graded meshes
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boundary element method
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hypersingular integral equation
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