Please use this identifier to cite or link to this item: https://doi.org/10.1002/nag.1127
Title: Effective block diagonal preconditioners for Biot's consolidation equations in piled-raft foundations
Authors: Chaudhary, K.B.
Phoon, K.K. 
Toh, K.C. 
Keywords: Biot's consolidation equations
Block diagonal preconditioner
Heterogeneous materials
Piled-raft foundation problem
Symmetric quasi minimal residual method
Issue Date: 10-Jun-2013
Source: Chaudhary, K.B., Phoon, K.K., Toh, K.C. (2013-06-10). Effective block diagonal preconditioners for Biot's consolidation equations in piled-raft foundations. International Journal for Numerical and Analytical Methods in Geomechanics 37 (8) : 871-892. ScholarBank@NUS Repository. https://doi.org/10.1002/nag.1127
Abstract: The finite element (FE) simulation of large-scale soil-structure interaction problems (e.g. piled-raft, tunnelling, and excavation) typically involves structural and geomaterials with significant differences in stiffness and permeability. The symmetric quasi-minimal residual solver coupled with recently developed generalized Jacobi, modified symmetric successive over-relaxation (MSSOR), or standard incomplete LU factorization (ILU) preconditioners can be ineffective for this class of problems. Inexact block diagonal preconditioners that are inexpensive approximations of the theoretical form are systematically evaluated for mitigating the coupled adverse effects because of such heterogeneous material properties (stiffness and permeability) and because of the percentage of the structural component in the system in piled-raft foundations. Such mitigation led the proposed preconditioners to offer a significant saving in runtime (up to more than 10 times faster) in comparison with generalized Jacobi, modified symmetric successive over-relaxation, and ILU preconditioners in simulating piled-raft foundations. © 2012 John Wiley & Sons, Ltd.
Source Title: International Journal for Numerical and Analytical Methods in Geomechanics
URI: http://scholarbank.nus.edu.sg/handle/10635/59027
ISSN: 03639061
DOI: 10.1002/nag.1127
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