A computational study of the weak Galerkin method for second-order elliptic equations

Authors:
Lin Mu;Junping Wang;Yanqiu Wang;Xiu Ye
Affiliations:
Department of Applied Science, University of Arkansas at Little Rock, Little Rock, USA 72204;Division of Mathematical Sciences, National Science Foundation, Arlington, USA 22230;Department of Mathematics, Oklahoma State University, Stillwater, USA 74078;Department of Mathematics, University of Arkansas at Little Rock, Little Rock, USA 72204
Venue:
Numerical Algorithms
Year:
2013

Citing 5
Cited 0

Mixed and hybrid finite element methods

Mixed and hybrid finite element methods
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

SIAM Journal on Numerical Analysis
Convergence of Adaptive Finite Element Methods

SIAM Review
Analysis of the DPG Method for the Poisson Equation

SIAM Journal on Numerical Analysis
A weak Galerkin finite element method for second-order elliptic problems

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	0.00

Visualization

Abstract

The weak Galerkin finite element method is a novel numerical method that was first proposed and analyzed by Wang and Ye (2011) for general second order elliptic problems on triangular meshes. The goal of this paper is to conduct a computational investigation for the weak Galerkin method for various model problems with more general finite element partitions. The numerical results confirm the theory established in Wang and Ye (2011). The results also indicate that the weak Galerkin method is efficient, robust, and reliable in scientific computing.