Global superconvergences of the domain decomposition methods with nonmatching grids (Q2725285)
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scientific article; zbMATH DE number 1619079
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global superconvergences of the domain decomposition methods with nonmatching grids |
scientific article; zbMATH DE number 1619079 |
Statements
8 May 2002
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domain decomposition
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nonmatching grids
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global superconvergence
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Lagrangian multiplier
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Poisson equation
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error estimates
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defect correction
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Global superconvergences of the domain decomposition methods with nonmatching grids (English)
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The equation \(-\Delta u+u=f\) under zero boundary conditions in a smooth domain is considered. The global superconvergence of the nonconforming domain decomposition method with Lagrangian multiplier and nonmatching grids is proved. Error estimates and a defect correction in \(L^{\infty }\) and \(L^{2}\) are also obtained.
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