Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.cma.2007.02.003
Title: Partitioned versus global Krylov subspace iterative methods for FE solution of 3-D Biot's problem
Authors: Chen, X.
Phoon, K.K. 
Toh, K.C. 
Keywords: Biot's consolidation equations
Generalized Jacobi preconditioner
Modified SSOR preconditioner
Symmetric indefinite linear system
Symmetric quasi-minimal residual method
Issue Date: 1-May-2007
Source: Chen, X., Phoon, K.K., Toh, K.C. (2007-05-01). Partitioned versus global Krylov subspace iterative methods for FE solution of 3-D Biot's problem. Computer Methods in Applied Mechanics and Engineering 196 (25-28) : 2737-2750. ScholarBank@NUS Repository. https://doi.org/10.1016/j.cma.2007.02.003
Abstract: Finite element analysis of 3-D Biot's consolidation problem needs fast solution of discretized large 2 × 2 block symmetric indefinite linear systems. In this paper, partitioned iterative methods and global Krylov subspace iterative methods are investigated and compared. The partitioned iterative methods considered include stationary partitioned iteration and non-stationary Prevost's PCG procedure. The global Krylov subspace methods considered include MINRES and Symmetric QMR (SQMR). Two efficient preconditioners are proposed for global methods. Numerical experiments based on a pile-group problem and simple footing problems with varied soil profiles are carried out. Numerical results show that when used in conjunction with suitable preconditioners, global Krylov subspace iterative methods are more promising for large-scale computations, and further improvement could be possible if significant differences in the solid material properties are addressed in these preconditioned iterative methods. © 2007 Elsevier B.V. All rights reserved.
Source Title: Computer Methods in Applied Mechanics and Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/65968
ISSN: 00457825
DOI: 10.1016/j.cma.2007.02.003
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