Local a-posteriori error indicators for the Galerkin discretization of boundary integral equations (Q1385124)
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scientific article; zbMATH DE number 1145972
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| English | Local a-posteriori error indicators for the Galerkin discretization of boundary integral equations |
scientific article; zbMATH DE number 1145972 |
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Local a-posteriori error indicators for the Galerkin discretization of boundary integral equations (English)
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26 April 1998
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The error indicators of \textit{I. Babuška} and \textit{W. C. Rheinboldt} [SIAM J. Numer. Anal. 15, 736-754 (1978; Zbl 0398.65069)] are transferred from finite element methods onto boundary element methods in the two- and three-dimensional case. It is shown that they are reliable and efficient for a wide class of integral operators under relatively weak assumptions. The proofs contain sophisticated estimates for norms in Sobolev spaces with fractional order.
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boundary integral equations
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Galerkin method
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error indicators
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boundary element methods
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Sobolev spaces with fractional order
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