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Convergence analysis of a modified weak Galerkin finite element method for Signorini and obstacle problems
Author(s) -
Zeng Yuping,
Chen Jinru,
Wang Feng
Publication year - 2017
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.22147
Subject(s) - variational inequality , mathematics , obstacle problem , a priori and a posteriori , obstacle , finite element method , convergence (economics) , norm (philosophy) , discontinuous galerkin method , galerkin method , partial differential equation , mathematical optimization , mathematical analysis , philosophy , physics , epistemology , political science , law , economics , thermodynamics , economic growth
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