Error estimates for isoparametric mixed finite element solution of 4th order elliptic problems with variable coefficients (Q699655)

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scientific article; zbMATH DE number 1807850
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Error estimates for isoparametric mixed finite element solution of 4th order elliptic problems with variable coefficients
scientific article; zbMATH DE number 1807850

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    Error estimates for isoparametric mixed finite element solution of 4th order elliptic problems with variable coefficients (English)
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    25 September 2002
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    This paper deals with the combined effect of numerical integration and boundary approximation for the isoparametric mixed finite element solution of fourth-order elliptic problems with variable coefficients in convex and nonconvex domains. The authors give a direct approximation to the bending moment tensor field and displacement field of the aniso-, ortho-, isotropic plate bending problems. Also error estimates for these solutions are presented. Results of interesting numerical experiments to justify the theoretical results are given.
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    isoparametric finite element
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    error estimates
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    mixed finite element
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    fourth-order elliptic problems
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    plate bending
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    numerical experiments
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