A survey on preconditioning techniques for a class of block three-by-three linear systems

Abstract: In this talk, we study the performance of some preconditioners for accelerating the convergence of Krylov subspace methods for solving linear systems of equations with a block three-by-three structure. A brief discussion is included regarding how spectral and field-of-value analyses can be exploited to study the performance of a preconditioner in conjunction with the Generalized Minimum Residual Method (GMRES). Numerical experiments show the effectiveness of inexact versions of preconditioners used with flexible GMRES for solving linear systems of equations arising from mixed finite element discretizations of the coupled Stokes-Darcy flow problem.

Mathematics

Audience: researchers in the topic

PIMS-CORDS SFU Operations Research Seminar