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Discontinuous Galerkin finite element methods for variational inequalities of first and second kinds
Author(s) -
Djoko J.K.
Publication year - 2008
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20261
Subject(s) - mathematics , finite element method , discontinuous galerkin method , variational inequality , a priori and a posteriori , discretization , galerkin method , norm (philosophy) , partial derivative , partial differential equation , discretization error , mixed finite element method , error analysis , mathematical analysis , philosophy , epistemology , physics , political science , law , thermodynamics
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 L 2 ‐norm.© 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2007