SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page B961-B983, January 2021.
We develop robust solvers for a class of perturbed saddle-point problems arising in the study of a second-order elliptic equation in mixed form (in terms of flux and potential), and of the four-field formulation of Biot's consolidation problem for linear poroelasticity (using displacement, filtration flux, total pressure, and fluid pressure). The stability of the continuous variational mixed problems, which hinges upon using adequately weighted spaces, is addressed in detail; and the efficacy of the proposed preconditioners, as well as their robustness with respect to relevant material properties, is demonstrated through several numerical experiments.

中文翻译：

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用于扰动鞍点问题的鲁棒预处理器和使用总压力的 Biot 方程的保守离散化

SIAM Journal on Scientific Computing，第 43 卷，第 4 期，第 B961-B983 页，2021 年 1 月。
我们为研究混合形式的二阶椭圆方程（以术语通量和势能），以及线性多孔弹性的 Biot 固结问题的四场公式（使用位移、过滤通量、总压力和流体压力）。连续变分混合问题的稳定性取决于使用适当的加权空间，详细讨论了；并且通过几个数值实验证明了所提出的预处理器的功效，以及它们在相关材料特性方面的稳健性。