The interface control domain decomposition (ICDD) method for elliptic problems (Q2873841)
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scientific article; zbMATH DE number 6250854
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The interface control domain decomposition (ICDD) method for elliptic problems |
scientific article; zbMATH DE number 6250854 |
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27 January 2014
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interface control domain decomposition method
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elliptic boundary value problems
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optimal control
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nonconforming discretizations
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heterogeneous coupling
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finite elements
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spectral elements
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numerical examples
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The interface control domain decomposition (ICDD) method for elliptic problems (English)
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The authors are concerned with an overlapping domain decomposition method with interface conditions in order to solve some linear elliptic boundary value problems. They provide two multidomain formulations of the generic problem and prove their equivalence. Then, based on these formulations they introduce the ICDD methods. These methods come out from some minimization problems which are proved to be well-posed. The optimality systems on which the practical implementation of the methods is based are also analyzed. Some extensions of ICDD along with three test problems are eventually carried out.
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