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Discontinuous Galerkin methods for solving double obstacle problem

Authors

  • Fei Wang

    Corresponding author
    1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China
    • School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China
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Abstract

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

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