@Article{JCM-34-5,
author = {Zhang, Qian and Zhang, Ran},
title = {A Weak Galerkin Mixed Finite Element Method for Second-Order Elliptic Equations with Robin Boundary Conditions},
journal = {Journal of Computational Mathematics},
year = {2016},
volume = {34},
number = {5},
pages = {532--548},
abstract = {<p style="text-align: justify;">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 $L^2$ for the flux and $H^1$ for the scalar function. Also an optimal order error estimate in $L^2$ is derived for the scalar approximation by using a duality argument. A series of numerical experiments is presented that verify our theoretical results.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1604-m2015-0413},
url = {https://global-sci.com/article/84571/a-weak-galerkin-mixed-finite-element-method-for-second-order-elliptic-equations-with-robin-boundary-conditions}
}