INTERIOR PENALTY BILINEAR IFE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC EQUATIONS WITH DISCONTINUOUS COEFFICIENT

被引：0
|
作者：
Xiaoming HE·Tao LIN Department of Mathematics
Department of Mathematical and Statistics Science
机构：
来源：
JournalofSystemsScience&Complexity | 2010年 / 23卷 / 03期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Adaptive mesh; discontinuous Galerkin; immersed interface; interface problems; penalty;
D O I：
暂无
中图分类号：
O175.25 [椭圆型方程];
学科分类号：
070104 ;
摘要：
This paper applies bilinear immersed finite elements (IFEs) in the interior penalty discontinuousGalerkin (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 nonsymmetricinterior penalty DG formulations.The new methods can solve an interface problem on a Cartesianmesh independent of the interface with local refinement at any locations needed even if the interfacehas a nontrivial geometry.Numerical examples are provided to show features of these methods.
引用
收藏
页码：467 / 483
页数：17
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