Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals

Abstract

Abstract. Superconvergence of the velocity is established for mimetic finite difference approximations of second-order elliptic problems over h2-uniform quadrilateral meshes. The superconvergence result holds for a full tensor coefficient. The analysis exploits the relation between mimetic finite differences and mixed finite element methods via a special… (More)
DOI: 10.1137/040606831

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