An iterative substructuring algorithm for two-dimensional problems in H(curl) (Q2903024)

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scientific article; zbMATH DE number 6070607
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An iterative substructuring algorithm for two-dimensional problems in H(curl)
scientific article; zbMATH DE number 6070607

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    23 August 2012
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    domain decomposition
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    iterative substructuring
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    H(curl) space problem
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    An iterative substructuring algorithm for two-dimensional problems in H(curl) (English)
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    In this paper, the authors present an algorithm for two-dimensional problems in space \(H_0\)(curl;\(\Omega\)). This algorithm is based on domain decomposition, which is performed in terms of a coarse space and local subspaces associated with individual edges of the subdomains. The algorithm does not require overlapping subdomains and a good condition number can be established. Simple energy minimization is applied to the coarse space. Many numerical examples are presented aswell, and they confirm the theory and show the usefulness of the algorithm.
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