Please use this identifier to cite or link to this item: https://doi.org/10.1002/nag.164
Title: A modified Jacobi preconditioner for solving ill-conditioned biot's consolidation equations using symmetric quasi-minimal residual method
Authors: Chan, S.H.
Phoon, K.K. 
Lee, F.H. 
Keywords: Biot's consolidation analysis
Column (row) balancing
Ill-conditioned
Jacobi preconditioning
Symmetric indefinite linear system
Symmetric quasi-minimal residual
Issue Date: 25-Aug-2001
Source: Chan, S.H., Phoon, K.K., Lee, F.H. (2001-08-25). A modified Jacobi preconditioner for solving ill-conditioned biot's consolidation equations using symmetric quasi-minimal residual method. International Journal for Numerical and Analytical Methods in Geomechanics 25 (10) : 1001-1025. ScholarBank@NUS Repository. https://doi.org/10.1002/nag.164
Abstract: This paper identifies imbalanced columns (or rows) as a significant source of ill-conditioning in the preconditioned coefficient matrix using the standard Jacobi preconditioner, for finite element solution of Biot's consolidation equations. A simple and heuristic preconditioner is proposed to reduce this source of ill-conditioning. The proposed preconditioner modifies the standard Jacobi preconditioner by scaling the excess pore pressure degree-of-freedoms in the standard Jacobi preconditioner with appropriate factors. The performance of such preconditioner is examined using the symmetric quasi-minimal residual method. To alleviate storage requirements, element-by-element iterative strategies are implemented. Numerical experiment results show that the proposed preconditioner reduces both the number of iteration and CPU execution time significantly as compared with the standard Jacobi preconditioner. Copyright © 2001 John Wiley & Sons, Ltd.
Source Title: International Journal for Numerical and Analytical Methods in Geomechanics
URI: http://scholarbank.nus.edu.sg/handle/10635/54424
ISSN: 03639061
DOI: 10.1002/nag.164
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