A \(C^0\) interior penalty method for a fourth-order variational inequality of the second kind (Q2804365)
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scientific article; zbMATH DE number 6575157
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A \(C^0\) interior penalty method for a fourth-order variational inequality of the second kind |
scientific article; zbMATH DE number 6575157 |
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29 April 2016
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finite element
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frictional contact problem
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variational inequalities
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error estimate
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interior penalty method
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A \(C^0\) interior penalty method for a fourth-order variational inequality of the second kind (English)
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A priori and a posteriori error estimates are derived for a fourth-order variational inequality of the second kind. The variational inequality results from a nondifferentiable functional by modelling the frictional plate contact problem. The problem is discretized bythe \(C^0\) interior penalty method. Using residual based a posteriori error estimators, a numerical test problem is solved on adaptive grids, which confirms the theoretical results. A priori error estimates do not require additional regularity of the solutions.
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