A LOCALLY CONSERVATIVE FINITE ELEMENT METHOD BASED ON PIECEWISE CONSTANT ENRICHMENT OF THE CONTINUOUS GALERKIN METHOD

被引：106

作者：

Sun, Shuyu ^{[1
]}

Liu, Jiangguo ^{[2
]}

机构：

[1] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA

[2] Colorado State Univ, Dept Math, Ft Collins, CO 80523 USA

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2009年 / 31卷 / 04期

关键词：

continuous Galerkin methods; discontinuous Galerkin methods; enriched Galerkin methods; flow; locally conservative methods; transport; REACTIVE TRANSPORT PROBLEMS; POSTERIORI ERROR ESTIMATION; 2ND-ORDER ELLIPTIC PROBLEMS; DIFFUSION-PROBLEMS; POROUS-MEDIA; COUPLED FLOW; APPROXIMATIONS; PENALTY; VERSION;

D O I：

10.1137/080722953

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a locally conservative finite element method based on enriching the approximation space of the continuous Galerkin method with elementwise constant functions. The proposed method has a smaller number of degrees of freedom than the discontinuous Galerkin method. Numerical examples on coupled flow and transport in porous media are provided to illustrate the advantages of this method. We also present a theoretical analysis of the method and establish optimal convergence of numerical solutions.

引用

页码：2528 / 2548

页数：21

共 33 条

[1]

Adams RA., 2003, SOBOLEV SPACES, V2

[2] AN INTERIOR PENALTY FINITE-ELEMENT METHOD WITH DISCONTINUOUS ELEMENTS [J].