swMATH ID: 20180
Software Authors: Silvester, David J.; Simoncini, Valeria
Description: An optimal iterative solver for symmetric indefinite systems stemming from mixed approximation. We discuss the design and implementation of a suite of functions for solving symmetric indefinite linear systems associated with mixed approximation of systems of PDEs. The novel feature of our iterative solver is the incorporation of error control in the natural “energy” norm in combination with an a posteriori estimator for the PDE approximation error. This leads to a robust and optimally efficient stopping criterion: the iteration is terminated as soon as the algebraic error is insignificant compared to the approximation error. We describe a “proof of concept” MATLAB implementation of this algorithm, which we call EST_MINRES, and we illustrate its effectiveness when integrated into the Incompressible Flow Iterative Solution Software (IFISS) package (cf. ACM Transactions on Mathematical Software 33, Article 14, 2007).
Homepage: http://dl.acm.org/citation.cfm?doid=1916461.1916466
Keywords: EST_MINRES; finite elements; MATLAB; incompressible flow; iterative solvers; stopping criteria
Related Software: Matlab; IFISS
Cited in: 1 Document

Citations by Year