Preconditioners for higher order finite element discretizations of H(div)-elliptic problem

被引：0
|
作者：
Wang J. [1 ]
Zhong L. [1 ]
Shu S. [1 ]
机构：
[1] School of Mathematical and Computational Sciences, Xiangtan University
来源：
Computational and Applied Mathematics | 2010年 / 29卷 / 01期
关键词：
H(div)-elliptic problem; Higher order finite element; Preconditioner; Stable decomposition;
D O I：
10.1590/S1807-03022010000100005
中图分类号：
学科分类号：
摘要：
In this paper, we are concerned with the fast solvers for higher order finite element discretizations of H(div)-elliptic problem. We present the preconditioners for the first family and second family of higher order divergence conforming element equations, respectively. By combining the stable decompositions of two kinds of finite element spaces with the abstract theory of auxiliary space preconditioning, we prove that the corresponding condition numbers of our preconditioners are uniformly bounded on quasi-uniform grids. © 2010 SBMAC.
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页码：61 / 80
页数：19
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