A Preconditioned Iterative Method for Saddlepoint Problems 论文

1992SIAM Journal on Matrix Analysis and Applications引用 319
Advanced Numerical Methods in Computational MathematicsMatrix Theory and AlgorithmsNumerical methods in engineering

摘要

A preconditioned iterative method for indefinite linear systems corresponding to certain saddlepoint problems is suggested. The block structure of the systems is utilized in order to design effective preconditioners, while the governing iterative solver is a standard minimum residual method. The method is applied to systems derived from discretizations of the Stokes problem and mixed formulations of second-order elliptic problems.