Please use this identifier to cite or link to this item: https://doi.org/10.1061/(ASCE)GM.1943-5622.0000131
Title: Performance of zero-level fill-in preconditioning techniques for iterative solutions with geotechnical applications
Authors: Chen, X.
Phoon, K.-K. 
Toh, K.-C. 
Keywords: Biot's consolidation
ILU(0)
Krylov subspace
Modified SSOR
Pivoting
Preconditioner
Issue Date: 2012
Source: Chen, X., Phoon, K.-K., Toh, K.-C. (2012). Performance of zero-level fill-in preconditioning techniques for iterative solutions with geotechnical applications. International Journal of Geomechanics 12 (5) : 596-605. ScholarBank@NUS Repository. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000131
Abstract: Biot's symmetric indefinite linear systems of equations are commonly encountered in finite-element computations of geotechnical problems. The development of efficient solution methods for Biot's linear systems of equations is of practical importance to geotechnical software packages. In conjunction with the Krylov-subspace iterative method symmetric quasi-minimal residual (SQMR), some zero-level fillin incomplete factorization preconditioning techniques including a symmetric successive overrelaxation (SSOR) type method and several zerolevel incomplete LU 1/2ILU(0) methods are investigated and compared for Biot's symmetric indefinite linear systems of equations. Numerical experiments are carried out based on three practical geotechnical problems. Numerical results indicate that ILU(0) preconditioners are classical and generally efficient when adequately stabilized. However, the tunnel problem provides a counterexample demonstrating that ILU(0) preconditioners cannot be fully stabilized by preliminary scaling, reordering, making use of perturbed matrices, or dynamically selecting pivots. Compared with the investigated ILU(0) preconditioners, the recently proposed modified SSOR preconditioner is less efficient but is robust over the range of problems studied. © 2012 American Society of Civil Engineers.
Source Title: International Journal of Geomechanics
URI: http://scholarbank.nus.edu.sg/handle/10635/59159
ISSN: 15323641
DOI: 10.1061/(ASCE)GM.1943-5622.0000131
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