Efficient solvers for hybridized three-field mixed finite element coupled poromechanics

被引:18
|
作者
Frigo, Matteo [1 ]
Castelletto, Nicola [2 ]
Ferronato, Massimiliano [1 ]
White, Joshua A. [2 ]
机构
[1] Univ Padua, Dept Civil Environm & Architectural Engn, Padua, Italy
[2] Lawrence Livermore Natl Lab, Atmospher Earth & Energy Div, Livermore, CA 94550 USA
关键词
Poromechanics; Hybridization; Preconditioning; Scalability; Algebraic multigrid; FIXED-STRESS; ITERATIVE SOLUTION; CONVERGENCE ANALYSIS; SEQUENTIAL-METHODS; FLOW; POROELASTICITY; PRECONDITIONERS; STABILITY; DISCRETIZATION; FORMULATION;
D O I
10.1016/j.camwa.2020.07.010
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a mixed hybrid finite element formulation for coupled poromechanics. A stabilization strategy based on a macro-element approach is advanced to eliminate the spurious pressure modes appearing in undrained/incompressible conditions. The efficient solution of the stabilized mixed hybrid block system is addressed by developing a class of block triangular preconditioners based on a Schur-complement approximation strategy. Robustness, computational efficiency and scalability of the proposed approach are theoretically discussed and tested using challenging benchmark problems on massively parallel architectures. (C) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页码:36 / 52
页数:17
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