Finite volume method for the variational inequalities of first and second kinds (Q2795404)

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scientific article; zbMATH DE number 6558896
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Finite volume method for the variational inequalities of first and second kinds
scientific article; zbMATH DE number 6558896

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    Finite volume method for the variational inequalities of first and second kinds (English)
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    21 March 2016
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    finite volume method
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    variational inequalities
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    obstacle problem
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    friction problem
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    stability
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    optimal error estimate
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    numerical example
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    Optimal error estimates are derived for finite volume methods to solve the variational inequalities of first and second kinds. The convergence analysis covers elliptic obstacle problem and simplified friction problem. Theoretical results are confirmed numerically for a test problem.
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