Numerical approximation of a unilateral obstacle problem (Q415415)
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scientific article; zbMATH DE number 6031755
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical approximation of a unilateral obstacle problem |
scientific article; zbMATH DE number 6031755 |
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Numerical approximation of a unilateral obstacle problem (English)
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8 May 2012
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The authors consider a unilateral obstacle problem in the variational inequality form. Then they utilize its variational inclusion formulation proposed in [\textit{A.~Addou} and \textit{E. B.~Mermri}, ``Sur une méthode de résolution d'un problème d'obstacle'', Math-Rech. Appl. 2, 59--69 (2000; MR1836181)]. It is approximated by using finite element and projection methods. A strong convergence result is established. The results of the solution of a one-dimensional obstacle problem are also given.
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obstacle problem
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variational inequality
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variational inclusion
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finite element method
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convergence
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