Stable multiscale discretizations for saddle point problems and preconditioning
作者:
Reinhard Hochmuth,
期刊:
Numerical Functional Analysis and Optimization
(Taylor Available online 1998)
卷期:
Volume 19,
issue 7-8
页码: 789-806
ISSN:0163-0563
年代: 1998
DOI:10.1080/01630569808816859
出版商: Marcel Dekker, Inc.
关键词: Saddle point problems;multiscale methods;stability;condition numbers;65N12;35J25;35Q30
数据来源: Taylor
摘要:
Stability for discretizations of saddle point problems is typically the result of satisfying the discrete Babuška-Brezzi condition. As a consequence a number of natural discretizations are ruled out and some effort is required to provide stable ones. Therefore ideas for circumventing the Babuška-Brezzi condition are interesting. Here an ansatz presented in a series of papers by Hughes et al. is described and investigated in the framework of multiscale discretizations. In particular discretizations for appending boundary conditions by Lagrange multipliers and the stationary Stokes problem are considered. Sufficient conditions for their stability are given and diagonal preconditioned which give uniformly bounded condition numbers are proposed.
点击下载:
PDF (1366KB)
返 回