Convergence analysis of a modified weak Galerkin finite element method for Signorini and obstacle problems | Zendy

Zeng Yuping | Zendy; Chen Jinru | Zendy; Wang Feng | Zendy

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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

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