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Discontinuous Galerkin methods for solving double obstacle problem
Author(s) -
Wang Fei
Publication year - 2013
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.21730
Subject(s) - mathematics , obstacle problem , a priori and a posteriori , discontinuous galerkin method , obstacle , convergence (economics) , partial differential equation , galerkin method , partial derivative , order (exchange) , mathematical optimization , mathematical analysis , finite element method , variational inequality , philosophy , physics , epistemology , finance , political science , law , economics , thermodynamics , economic growth
In this article the ideas in Wang et al. [SIAM J Numec Anal 48 (2010), 708–73] are extended to solve the double obstacle problem using discontinuous Galerkin methods. A priori error estimates are established for these methods, which reach optimal order for linear elements. We present a test example, and the numerical results on the convergence order match the theoretical prediction. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2013