Boundary layer approximate approximations and cubature of potentials in domains (Q1293225)
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scientific article; zbMATH DE number 1309407
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundary layer approximate approximations and cubature of potentials in domains |
scientific article; zbMATH DE number 1309407 |
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Boundary layer approximate approximations and cubature of potentials in domains (English)
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24 April 2000
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The authors present a new approach to the computation of volume potentials over bounded domains. It is based on quasi-interpolation with smooth, almost locally supported basis functions for which particular solutions are known. Some asymptotic error estimates for quasi-interpolation and corresponding cubature formulae as well as numerical examples which illustrate the behaviour of the error near the boundary are carried out.
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volume potentials
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semianalytic cubature formulae
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boundary layer
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multi-resolution
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quasi-interpolation
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error estimates
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numerical examples
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