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Convergence analysis of a modified weak Galerkin finite element method for Signorini and obstacle problems
Authors:Yuping Zeng  Jinru Chen  Feng Wang
Affiliation:1. School of Mathematics, Jiaying University, Meizhou, China;2. Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, NanjingNormal University, Nanjing, China
Abstract:In this article, we apply a modified weak Galerkin method to solve variational inequality of the first kind which includes Signorini and obstacle problems. Optimal order a priori error estimates in the energy norm are derived. We also provide some numerical experiments to validate the theoretical results.© 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 1459–1474, 2017
Keywords:a priori error estimate  modified weak Galerkin method  obstacle problem  Signorini problem
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