腾讯会议 ID：776 608 967 (会议密码: 041521)
链接 //meeting.tencent.com/s/85WkXC4yOTfg
邀请人：王锋副教授
摘要: In this work, two types of Schur complement based preconditioners are studied for two-fold saddle point and block tridiagonal systems. One is based on the nested (or recursive) Schur complement, the other is based on an additive type Schur complement after permuting the original saddle point systems. We discuss different preconditioners incorporating the exact Schur complements. It is shown that some of them will lead to better conditioned and or positive stable preconditioned systems. Our theoretical analysis is instructive for devising various exact and inexact preconditioners, as well as iterative solvers for many twofold and block tridiagonal saddle point problems. Particularly, we will discuss preconditioners for linear systems resulting from a 3-field formulation of the Biot model.