Two new variants of nonlinear inexact Uzawa algorithms for saddle-point problems
Hu, QY; Zou, J
AbstractIn 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.
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000180034100006
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Document Type期刊论文
Corresponding AuthorHu, QY
Affiliation1.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
Recommended Citation
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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