Interior penalty bilinear IFE discontinuous Galerkin methods for elliptic equations with discontinuous coefficient

被引：0

作者：

Xiaoming He

Tao Lin

Yanping Lin

机构：

[1] Virginia Tech,Department of Mathematics

[2] Hong Kong Polytechnic University,Department of Applied Mathematics

[3] University of Alberta,Department of Mathematical and Statistics Science

来源：

Journal of Systems Science and Complexity | 2010年 / 23卷

关键词：

Adaptive mesh; discontinuous Galerkin; immersed interface; interface problems; penalty;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper applies bilinear immersed finite elements (IFEs) in the interior penalty discontinuous Galerkin (DG) methods for solving a second order elliptic equation with discontinuous coefficient. A discontinuous bilinear IFE space is constructed and applied to both the symmetric and nonsymmetric interior penalty DG formulations. The new methods can solve an interface problem on a Cartesian mesh independent of the interface with local refinement at any locations needed even if the interface has a nontrivial geometry. Numerical examples are provided to show features of these methods.

引用

页码：467 / 483

页数：16

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