A BFBt preconditioner for Double Saddle-Point Systems
Numerical Analysis
2026-01-27 v1 Numerical Analysis
Abstract
We consider block preconditioners for double saddle-point systems, and investigate the effect of approximating the nested Schur complement associated with the trailing diagonal block on the eigenvalue distribution of the preconditioned matrix. We develop a variant of Elman's BFBt method and adapt it to this family of linear systems. Our findings are illustrated on a Marker-and-Cell discretization of the Stokes-Darcy equations.
Keywords
Cite
@article{arxiv.2601.18520,
title = {A BFBt preconditioner for Double Saddle-Point Systems},
author = {Chen Greif},
journal= {arXiv preprint arXiv:2601.18520},
year = {2026}
}