Additive Schwarz algorithms for the \(p\) version of the Galerkin boundary element method (Q1572935)

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scientific article; zbMATH DE number 1484805
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Additive Schwarz algorithms for the \(p\) version of the Galerkin boundary element method
scientific article; zbMATH DE number 1484805

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    Additive Schwarz algorithms for the \(p\) version of the Galerkin boundary element method (English)
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    10 January 2001
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    The authors carry out a fairly thorough analysis concerning the Schwarz additive method applied to the \(p\) version Galerkin approximation of hypersingular and weakly singular integral equations of the first kind. The analysis is quite technical but the estimations of condition numbers are sharp and are illustrated by some numerical experiments.
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    non-overlapping methods
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    Galerkin boundary element method
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    hypersingular integral equations
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    numerical examples
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    additive Schwarz operator
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    non-overlapping
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    overlapping methods
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    condition number
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    weakly singular integral equations of the first kind
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