Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.compstruc.2004.04.012
DC FieldValue
dc.titleBlock constrained versus generalized Jacobi preconditioners for iterative solution of large-scale Biot's fem equations
dc.contributor.authorPhoon, K.K.
dc.contributor.authorToh, K.C.
dc.contributor.authorChen, X.
dc.date.accessioned2014-10-07T06:28:14Z
dc.date.available2014-10-07T06:28:14Z
dc.date.issued2004-11
dc.identifier.citationPhoon, K.K., Toh, K.C., Chen, X. (2004-11). Block constrained versus generalized Jacobi preconditioners for iterative solution of large-scale Biot's fem equations. Computers and Structures 82 (28 SPEC. ISS.) : 2401-2411. ScholarBank@NUS Repository. https://doi.org/10.1016/j.compstruc.2004.04.012
dc.identifier.issn00457949
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/84705
dc.description.abstractGeneralized Jacobi (GJ) diagonal preconditioner coupled with symmetric quasi-minimal residual (SQMR) method has been demonstrated to be efficient for solving the 2 × 2 block linear system of equations arising from discretized Biot's consolidation equations. However, one may further improve the performance by employing a more sophisticated non-diagonal preconditioner. This paper proposes to employ a block constrained preconditioner Pc that uses the same 2 × 2 block matrix but its (1, 1) block is replaced by a diagonal approximation. Numerical results on a series of 3-D footing problems show that the SQMR method preconditioned by Pc is about 55% more efficient time-wise than the counterpart preconditioned by GJ when the problem size increases to about 180,000 degrees of freedom. Over the range of problem sizes studied, the Pc-preconditioned SQMR method incurs about 20% more memory than the GJ-preconditioned counterpart. The paper also addresses crucial computational and storage issues in constructing and storing P c efficiently to achieve superior performance over GJ on the commonly available PC platforms. © 2004 Elsevier Ltd. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.compstruc.2004.04.012
dc.sourceScopus
dc.subjectBiot's consolidation equations
dc.subjectBlock constrained preconditioner Generalized Jacobi preconditioner
dc.subjectSymmetric quasi-minimal residual (SQMR) method
dc.subjectThree-dimensional finite-element discretization
dc.typeConference Paper
dc.contributor.departmentCIVIL ENGINEERING
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1016/j.compstruc.2004.04.012
dc.description.sourcetitleComputers and Structures
dc.description.volume82
dc.description.issue28 SPEC. ISS.
dc.description.page2401-2411
dc.description.codenCMSTC
dc.identifier.isiut000225010700005
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