Fully discrete Galerkin approximations of parabolic boundary-value problems with nonsmooth boundary data (Q1119368)
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scientific article; zbMATH DE number 4098678
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fully discrete Galerkin approximations of parabolic boundary-value problems with nonsmooth boundary data |
scientific article; zbMATH DE number 4098678 |
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Fully discrete Galerkin approximations of parabolic boundary-value problems with nonsmooth boundary data (English)
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1990
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Fully discrete approximations of parabolic boundary-value problems with nonsmooth boundary data are considered. The optimal rates of convergence in \(L_ p[0,T;L_ 2(\Omega)]\) for boundary input in \(L_ p[0,T;L_ 2(\Gamma)]\) are derived. Our approach is based on semigroup theory combined with the theory of singular integrals.
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boundary integral equations
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fully discrete approximations
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nonsmooth boundary data
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optimal rates of convergence
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semigroup theory
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theory of singular integrals
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