A Weak Galerkin Mixed Finite Element Method for Second-Order Elliptic Equations with Robin Boundary Conditions
Year: 2016
Author: Qian Zhang, Ran Zhang
Journal of Computational Mathematics, Vol. 34 (2016), Iss. 5 : pp. 532–548
Abstract
In this paper, we present a weak Galerkin (WG) mixed finite element method for solving the second-order elliptic equations with Robin boundary conditions. Stability and a priori error estimates for the coupled method are derived. We present the optimal order error estimate for the WG-MFEM approximations in a norm that is related to the L2 for the flux and H1 for the scalar function. Also an optimal order error estimate in L2 is derived for the scalar approximation by using a duality argument. A series of numerical experiments is presented that verify our theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1604-m2015-0413
Journal of Computational Mathematics, Vol. 34 (2016), Iss. 5 : pp. 532–548
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Second-order elliptic equations Robin boundary conditions Weak Galerkin Weak divergence.
Author Details
Qian Zhang Email
Ran Zhang Email
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