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Mixed Virtual Element Methods for general second order elliptic problems on polygonal meshes

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arxiv 1506.07328 v1 pith:HN47RTRX submitted 2015-06-24 math.NA cs.NA

L. Beirao da Veiga , F. Brezzi , L.D. Marini , A. Russo This is my paper
classification math.NAcs.NA
keywords elementellipticgeneralmethodmixedorderproblemssecond
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In the present paper we introduce a Virtual Element Method (VEM) for the approximate solution of general linear second order elliptic problems in mixed form, allowing for variable coefficients. We derive a theoretical convergence analysis of the method and develop a set of numerical tests on a benchmark problem with known solution.

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