Generalized Hessian and external approximations in variational problems of second order (Q1431588)

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scientific article; zbMATH DE number 2073391
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Generalized Hessian and external approximations in variational problems of second order
scientific article; zbMATH DE number 2073391

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    Generalized Hessian and external approximations in variational problems of second order (English)
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    11 June 2004
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    A suitable notion of a generalized Hessian is introduced and it is shown how this Hessian can be used to approximate solutions of variational problems by means of piecewise linear functions. As a guideline of arguments properties of \(\Gamma\)-convergence are used. Convergence is proven under technical restrictions.
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    non-confirming approximations
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    \(\Gamma\)-convergence
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    anisotropic plates
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    generalized Hessian
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