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Discontinuous Galerkin finite element methods for variational inequalities of first and second kinds
Authors:JK Djoko
Institution:Department of Mathematics and Applied Mathematics, University of Pretoria, 0002, South Africa
Abstract:We develop the error analysis for the h‐version of the discontinuous Galerkin finite element discretization for variational inequalities of first and second kinds. We establish an a priori error estimate for the method which is of optimal order in a mesh dependant as well as L2‐norm.© 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2007
Keywords:discontinuous Galerkin method  nonsymmetric interior penalty method  optimal convergence  symmetric interior penalty method  variational inequality
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