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Superconvergence of a mixed covolume method for elliptic problems - MaRDI portal

Superconvergence of a mixed covolume method for elliptic problems (Q1422214)

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scientific article; zbMATH DE number 2038444
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Superconvergence of a mixed covolume method for elliptic problems
scientific article; zbMATH DE number 2038444

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    Superconvergence of a mixed covolume method for elliptic problems (English)
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    5 February 2004
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    A mixed covolume method is applied to a system of first order partial differential equations resulting from the mixed formulation of a general self-adjoint elliptic problem with a variable full diffusion tensor. The lowest order Raviart-Thomas mixed finite element space is used. First order convergence in the \(L^2\) norm and superconvergence in certain discrete norms are shown.
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    mixed covolume method
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    selfadjoint elliptic problem
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    error estimates
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    superconvergence
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    Raviart-Thomas mixed finite element
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