The condition number of the Schur complement in domain decomposition (Q1805999)
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scientific article; zbMATH DE number 1356169
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The condition number of the Schur complement in domain decomposition |
scientific article; zbMATH DE number 1356169 |
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The condition number of the Schur complement in domain decomposition (English)
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22 May 2000
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It is shown that for elliptic boundary value problems of order \(2m\) the condition number of the Schur complement matrix that appears in nonoverlapping domain decomposition methods is of order \(d^{-1}h^{-2m+1}\), where \(d\) measures the diameters of the subdomains and \(h\) is the mesh size of the triangulation. The result holds for both conforming and nonconforming finite elements.
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condition number
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Schur complement
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domain decomposition
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finite elements
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