A study of mixed problem for second order elliptic problems using modified weak Galerkin finite element method
Hussain, Saqib 1Wang, Xiaoshen 2Al-Taweel, Ahmed2
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作者信息
1. Texas A&M Int Univ
2. Univ Arkansas Little Rock
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Abstract
In this article, a modified weak Galerkin finite element method is developed for a second order elliptic problem with mixed boundary conditions. The basic idea of modified weak Galerkin method is to reduce the degrees of freedom in comparison to the standard weak Galerkin method. The optimal convergence orders in a discrete L-2 norm and H-1 norm are established. Numerical examples are presented to verify the theoretical estimates. Published by Elsevier B.V.