TY - JOUR
T1 - Semi-Convergence Analysis of Uzawa Splitting Iteration Method for Singular Saddle Point Problems
AU - Jingtao Li & Changfeng Ma
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 - <p style="text-align: justify;">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.</p>