Journal of Computational and Applied Mathematics2022,Vol.40110.DOI:10.1016/j.cam.2021.113770

A study of mixed problem for second order elliptic problems using modified weak Galerkin finite element method

Hussain, Saqib Wang, Xiaoshen Al-Taweel, Ahmed
Journal of Computational and Applied Mathematics2022,Vol.40110.DOI:10.1016/j.cam.2021.113770

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.

Key words

Galerkin finite element methods/Discrete modified weak gradient/Second-order elliptic problems/Mixed boundary conditions/EQUATIONS

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出版年

2022
Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
被引量1
参考文献量27
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