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Journal of Applied Mathematics
Volume 2012, Article ID 352081, 15 pages
Research Article

Applications of Symmetric and Nonsymmetric MSSOR Preconditioners to Large-Scale Biot's Consolidation Problems with Nonassociated Plasticity

1Department of Geotechnical Engineering, School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China
2Department of Civil and Environmental Engineering, National University of Singapore, E1A-07-14, Blk E1A, 07-03, 1 Engineering Drive 2, Singapore 117576

Received 12 October 2011; Revised 14 December 2011; Accepted 15 December 2011

Academic Editor: Massimiliano Ferronato

Copyright © 2012 Xi Chen and Kok Kwang Phoon. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [5 citations]

The following is the list of published articles that have cited the current article.

  • Massimiliano Ferronato, “Preconditioning for Sparse Linear Systems at the Dawn of the 21st Century: History, Current Developments, and Future Perspectives,” ISRN Applied Mathematics, vol. 2012, pp. 1–49, 2012. View at Publisher · View at Google Scholar
  • Xi Chen, Yuxin Jie, and Jiankun Liu, “Robust partitioned block preconditioners for large-scale geotechnical applications with soil-structure interactions,” International Journal for Numerical and Analytical Methods in Geomechanics, 2013. View at Publisher · View at Google Scholar
  • Iliya Tizhe Thuku, Mohd Fua’ad Rahmat, Norhaliza Abdul Wahab, and Teimor Tajdari, “Determination of Concentration Profile for Flowing Solid Particles in Pipeline Using Electric Charge Tomography System,” Mathematical Problems in Engineering, vol. 2014, pp. 1–18, 2014. View at Publisher · View at Google Scholar
  • Xi Chen, Yongkang Wu, Yuzhen Yu, and Kok-Kwang Phoon, “Performance of Neumann Expansion Preconditioners for Iterative Methods with Geotechnical Elastoplastic Applications,” International Journal of Geomechanics, pp. 04015069, 2015. View at Publisher · View at Google Scholar
  • Yongkang Wu, and Yongkang Wu, “Numerical Realization of the Unsaturated Seepage-Consolidation Theory,” Multi-physics Coupling Analysis of Clayey Core Wall of High Earth-Rockfill Dam, pp. 71–109, 2018. View at Publisher · View at Google Scholar