论文标题
强大的预处理，用于利用总压力的Biot方程的鞍点问题和保守的离散
Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot's equations utilizing total pressure
论文作者
论文摘要
我们为一类扰动的鞍点问题开发了可靠的求解器，这些问题在研究的二阶椭圆方程（就通量和电势而言）以及Biot的四个场合制剂的固结问题（使用线性多孔弹性（使用置换，过滤，总压力和流动压力））。详细介绍了连续变化混合问题的稳定性，这些问题在使用适当加权空间时取决于依赖。通过几个数值实验证明了所提出的预处理的功效及其相对于相关材料特性的鲁棒性。
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.
