Volume 11, Issue 2
Semi-Convergence Analysis of Uzawa Splitting Iteration Method for Singular Saddle Point Problems

Jingtao Li & Changfeng Ma

Numer. Math. Theor. Meth. Appl., 11 (2018), pp. 235-246.

Published online: 2018-11

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  • Abstract

In this paper, we propose the Uzawa splitting iteration method for solving a class of singular saddle point problems. The semi-convergence of the Uzawa splitting iteration method is carefully analyzed, which shows that the iteration sequence generated by this method converges to a solution of the singular saddle point problems under certain conditions. Moreover, the characteristics of the eigenvalues and eigenvectors of the iteration matrix of the proposed method are studied. The theoretical results are supported by the numerical experiments, which implies that Uzawa splitting iteration method is effective and feasible for solving singular saddle point problems.

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@Article{NMTMA-11-235, author = {}, title = {Semi-Convergence Analysis of Uzawa Splitting Iteration Method for Singular Saddle Point Problems}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2018}, volume = {11}, number = {2}, pages = {235--246}, abstract = {

In this paper, we propose the Uzawa splitting iteration method for solving a class of singular saddle point problems. The semi-convergence of the Uzawa splitting iteration method is carefully analyzed, which shows that the iteration sequence generated by this method converges to a solution of the singular saddle point problems under certain conditions. Moreover, the characteristics of the eigenvalues and eigenvectors of the iteration matrix of the proposed method are studied. The theoretical results are supported by the numerical experiments, which implies that Uzawa splitting iteration method is effective and feasible for solving singular saddle point problems.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2018.m1622}, url = {http://global-sci.org/intro/article_detail/nmtma/12428.html} }
TY - JOUR T1 - Semi-Convergence Analysis of Uzawa Splitting Iteration Method for Singular Saddle Point Problems JO - Numerical Mathematics: Theory, Methods and Applications VL - 2 SP - 235 EP - 246 PY - 2018 DA - 2018/11 SN - 11 DO - http://doi.org/10.4208/nmtma.2018.m1622 UR - https://global-sci.org/intro/article_detail/nmtma/12428.html KW - AB -

In this paper, we propose the Uzawa splitting iteration method for solving a class of singular saddle point problems. The semi-convergence of the Uzawa splitting iteration method is carefully analyzed, which shows that the iteration sequence generated by this method converges to a solution of the singular saddle point problems under certain conditions. Moreover, the characteristics of the eigenvalues and eigenvectors of the iteration matrix of the proposed method are studied. The theoretical results are supported by the numerical experiments, which implies that Uzawa splitting iteration method is effective and feasible for solving singular saddle point problems.

Jingtao Li & Changfeng Ma. (2020). Semi-Convergence Analysis of Uzawa Splitting Iteration Method for Singular Saddle Point Problems. Numerical Mathematics: Theory, Methods and Applications. 11 (2). 235-246. doi:10.4208/nmtma.2018.m1622
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