Some features of the nodal recovery of gradients from finite element approximations which produces superconvergence
Whiteman, J. R., Goodsell, G.
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Displaying similar documents to “How to recover the gradient of linear elements on nonuniform triangulations”
Some features of the nodal recovery of gradients from finite element approximations which produces superconvergence
On discontinuous Galerkin method and semiregular family of triangulations
Aleš Prachař (2006)
Applications of Mathematics
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Discretization of second order elliptic partial differential equations by discontinuous Galerkin method often results in numerical schemes with penalties. In this paper we analyze these penalized schemes in the context of quite general triangular meshes satisfying only a semiregularity assumption. A new (modified) penalty term is presented and theoretical properties are proven together with illustrative numerical results.
Mimetic finite differences for elliptic problems
Franco Brezzi, Annalisa Buffa, Konstantin Lipnikov (2009)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We developed a mimetic finite difference method for solving elliptic equations with tensor coefficients on polyhedral meshes. The first-order convergence estimates in a mesh-dependent norm are derived.