New locally conservative finite element methods on a rectangular mesh

被引：0
|
作者：
Youngmok Jeon
Eun-Jae Park
机构：
[1] Ajou University,Department of Mathematics
[2] Yonsei University,Department of Computational Science and Engineering
来源：
Numerische Mathematik | 2013年 / 123卷
关键词：
65N12; 65N30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new family of locally conservative, finite element methods for a rectangular mesh is introduced to solve second-order elliptic equations. Our approach is composed of generating PDE-adapted local basis and solving a global matrix system arising from a flux continuity equation. Quadratic and cubic elements are analyzed and optimal order error estimates measured in the energy norm are provided for elliptic equations. Next, this approach is exploited to approximate Stokes equations. Numerical results are presented for various examples including the lid driven-cavity problem.
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页码：97 / 119
页数：22
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