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.
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页码：467 / 483
页数：16
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