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On the structure of the Schur complement matrix for the Stokes equation (2309.01255v1)
Published 3 Sep 2023 in math.NA and cs.NA
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.