A Simple Uniformly Convergent Iterative Method for the Non-symmetric Incomplete Interior Penalty Discontinuous Galerkin Discretization

被引：2
|
作者：
Ayuso, Blanca [1 ]
Zikatanov, Ludmil T. [2 ]
机构：
[1] Univ Autonoma Madrid, Dept Matemat, Inst Ciencias Matemat CSIC UAM UCM UC3M, E-28049 Madrid, Spain
[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA
来源：
DOMAIN DECOMPOSITION METHODS IN SCIENCE AND ENGINEERING XIX | 2011年 / 78卷
基金：
美国国家科学基金会;
关键词：
FINITE-ELEMENT METHODS; ELLIPTIC PROBLEMS;
D O I：
10.1007/978-3-642-11304-8_38
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We introduce a uniformly convergent iterative method for the systems arising from non-symmetric IIPG linear approximations of second order elliptic problems. The method can be viewed as a block Gauss-Seidel method in which the blocks correspond to restrictions of the IIPG method to suitably constructed subspaces. Numerical tests are included, showing the uniform convergence of the iterative method in an energy norm.
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页码：335 / +
页数：2
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