TY - JOUR
T1 - A New Uzawa-Type Iteration Method for Non-Hermitian Saddle-Point Problems
AU - Yan Dou, Ai-Li Yang & Yu-Jiang Wu
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 211
EP - 226
PY - 2018
DA - 2018/02
SN - 7
DO - http://doi.org/10.4208/eajam.290816.130117a
UR - https://global-sci.org/intro/article_detail/eajam/10744.html
KW - Saddle-point problems, Uzawa method, preconditioned shift-splitting, convergence, preconditioner.
AB - <p style="text-align: justify;">Based on a preconditioned shift-splitting of the (1, 1)-block of non-Hermitian
saddle-point matrix and the Uzawa iteration method, we establish a new Uzawa-type
iteration method. The convergence properties of this iteration method are analyzed.
In addition, based on this iteration method, a preconditioner is proposed. The spectral
properties of the preconditioned saddle-point matrix are also analyzed. Numerical
results are presented to verify the robustness and the efficiency of the new iteration
method and the preconditioner.</p>