KMS Of Academy of mathematics and systems sciences, CAS
Two new variants of nonlinear inexact Uzawa algorithms for saddle-point problems | |
Hu, QY; Zou, J | |
2002-12-01 | |
发表期刊 | NUMERISCHE MATHEMATIK |
ISSN | 0029-599X |
卷号 | 93期号:2页码:333-359 |
摘要 | In this paper, we consider some nonlinear inexact Uzawa methods for iteratively solving linear saddle-point problems. By means of a new technique, we first give an essential improvement on the convergence results of Bramble-Paschiak-Vassilev for a known nonlinear inexact Uzawa algorithm. Then we propose two new algorithms, which can be viewed as a combination of the known nonlinear inexact Uzawa method with the classical steepest descent method and conjugate gradient method respectively. The two new algorithms converge under very practical conditions and do not require any apriori estimates on the minimal and maximal eigenvalues of the preconditioned systems involved, including the preconditioned Schur complement. Numerical results of the algorithms applied for the Stokes problem and a purely linear system of algebraic equations are presented to show the efficiency of the algorithms. |
DOI | 10.1007/s002110100386 |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000180034100006 |
出版者 | SPRINGER-VERLAG |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/17424 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Hu, QY |
作者单位 | 1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China |
推荐引用方式 GB/T 7714 | Hu, QY,Zou, J. Two new variants of nonlinear inexact Uzawa algorithms for saddle-point problems[J]. NUMERISCHE MATHEMATIK,2002,93(2):333-359. |
APA | Hu, QY,&Zou, J.(2002).Two new variants of nonlinear inexact Uzawa algorithms for saddle-point problems.NUMERISCHE MATHEMATIK,93(2),333-359. |
MLA | Hu, QY,et al."Two new variants of nonlinear inexact Uzawa algorithms for saddle-point problems".NUMERISCHE MATHEMATIK 93.2(2002):333-359. |
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