On the structure of the Schur complement matrix for the Stokes equation

2023/09/03 by Pimanov, Vladislav, Muravleva, Ekaterina, Oseledets, Ivan +1
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2309.01255

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.

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