Preconditioners with projectors for mixed hybrid finite element methods

被引：0
|
作者：
Kuznetsov, Yuri A. [1 ]
Kramarenko, Vasily K. [2 ]
机构：
[1] Univ Houston, Dept Math, Houston, TX 77204 USA
[2] Russian Acad Sci, Inst Numer Math, Moscow 119333, Russia
来源：
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 2017年 / 32卷 / 01期
关键词：
Preconditioned conjugate gradient method; preconditioners with projectors; mixed-hybrid finite element method; diffusion equation;
D O I：
10.1515/rnam-2017-0004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose and investigate numerically two new preconditioners for the matrices, which arise in the mixed-hybrid finite element methods for diffusion equation in strongly heterogeneous media. Both preconditioners include special projectors on the vector spaces orthogonal to the vectors with constant components. We give general description of the preconditioners and discuss numerical results which demonstrate their efficiency compared to the classical diagonal preconditioner.
引用
收藏
页码：39 / 45
页数：7
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