Error estimates for the three-field formulation with bubble stabilization (Q2719059)
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scientific article; zbMATH DE number 1597948
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Error estimates for the three-field formulation with bubble stabilization |
scientific article; zbMATH DE number 1597948 |
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14 May 2001
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error estimates
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three-field formulation
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bubble stabilization
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finite elements
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domain decomposition
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Error estimates for the three-field formulation with bubble stabilization (English)
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The authors consider the effects of bubble stabilization of the so-called three-field formulation using piecewise linear finite elements for domain decomposition methods. They prove optimal estimates first in the broken \(H^l\)-norm and then in the \(L^2\)-norm for the internal variable \(u\), and in suitable weighted \(L^2\) norms for the other variable \(\lambda\) and \(\psi\).
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