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.

翻译：本文研究了稳态斯托克斯方程全交错有限差分离散化中舒尔补矩阵的结构。具体而言，我们证明了舒尔补矩阵的结构定性取决于某一特定特征，即非单位特征值的数量，且两种极限情况具有特殊意义。