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An iterative penalty method for a problem with constraints on the inner boundary - MaRDI portal

An iterative penalty method for a problem with constraints on the inner boundary (Q1358044)

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scientific article; zbMATH DE number 1023947
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An iterative penalty method for a problem with constraints on the inner boundary
scientific article; zbMATH DE number 1023947

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    An iterative penalty method for a problem with constraints on the inner boundary (English)
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    5 January 1998
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    We study a variational inequality describing equilibrium of an elastic membrane in a domain with a slit. The impermeability boundary condition in the form of an inequality is taken on the edges of the slit. We construct a penalized equation and an iterative linear equation in integral and differential forms. We prove some results upon convergence of solutions and establish an error estimate.
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    domain with slit
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    variational inequality
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    impermeability boundary condition
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    convergence
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    error estimate
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