Couplings of mixed finite element and weak Galerkin methods for elliptic problems

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• 作者：Min Yang (1)
  
  1. Department of Mathematics ; Yantai University ; Yantai ; 264005 ; China
  
• 关键词：Couplings ; Error estimates ; Mixed finite element ; Mortar space ; Non ; matching grids ; Weak Galerkin ; 65N30
• 刊名：Journal of Applied Mathematics and Computing
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：47
• 期：1-2
• 页码：327-343
• 全文大小：234 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Computational Mathematics and Numerical Analysis
  Applied Mathematics and Computational Methods of Engineering
  Theory of Computation
  Mathematics of Computing
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1865-2085

文摘

In this paper, we consider two types of couplings for mixed finite element and weak Galerkin methods for elliptic problems. The first coupling simply connects the subdomain schemes on the interfaces by use of the numerical flux and pressure. The second one is based on a mortar space and imposes the weak continuity of the numerical flux. We derive solvability and a priori error estimates for both couplings.