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https://doi.org/10.1016/j.compstruc.2004.04.012
DC Field | Value | |
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dc.title | Block constrained versus generalized Jacobi preconditioners for iterative solution of large-scale Biot's fem equations | |
dc.contributor.author | Phoon, K.K. | |
dc.contributor.author | Toh, K.C. | |
dc.contributor.author | Chen, X. | |
dc.date.accessioned | 2014-10-07T06:28:14Z | |
dc.date.available | 2014-10-07T06:28:14Z | |
dc.date.issued | 2004-11 | |
dc.identifier.citation | Phoon, 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.issn | 00457949 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/84705 | |
dc.description.abstract | Generalized 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.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.compstruc.2004.04.012 | |
dc.source | Scopus | |
dc.subject | Biot's consolidation equations | |
dc.subject | Block constrained preconditioner Generalized Jacobi preconditioner | |
dc.subject | Symmetric quasi-minimal residual (SQMR) method | |
dc.subject | Three-dimensional finite-element discretization | |
dc.type | Conference Paper | |
dc.contributor.department | CIVIL ENGINEERING | |
dc.contributor.department | MATHEMATICS | |
dc.description.doi | 10.1016/j.compstruc.2004.04.012 | |
dc.description.sourcetitle | Computers and Structures | |
dc.description.volume | 82 | |
dc.description.issue | 28 SPEC. ISS. | |
dc.description.page | 2401-2411 | |
dc.description.coden | CMSTC | |
dc.identifier.isiut | 000225010700005 | |
Appears in Collections: | Staff Publications |
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