On the structure of the Schur complement matrix for the Stokes equation
Numerical Analysis
2023-09-06 v1 Numerical Analysis
Abstract
In this paper, we investigate the structure of the Schur complement matrix for the fully-staggered finite-difference discretization of the stationary Stokes equation. Specifically, we demonstrate that the structure of the Schur complement matrix depends qualitatively on a particular characteristic, namely the number of non-unit eigenvalues, and the two limiting cases are of special interest.
Cite
@article{arxiv.2309.01255,
title = {On the structure of the Schur complement matrix for the Stokes equation},
author = {Vladislav Pimanov and Ekaterina Muravleva and Ivan Oseledets and Oleg Iliev},
journal= {arXiv preprint arXiv:2309.01255},
year = {2023}
}