- Title
- Iterative solution of large sparse linear systems arising from application of interior point method in computational geomechanics
- Creator
- Kardani, Omid; Lyamin, Andrei V.; Krabbenhøft, Kristian
- Relation
- World Congress on Engineering 2013. Proceedings of the World Congress on Engineering 2013 (London 3-5 July, 2013) p. 216-221
- Relation
- http://www.iaeng.org/publication/WCE2013/
- Publisher
- Newswood
- Resource Type
- conference paper
- Date
- 2013
- Description
- The efficiency of several preconditioned Conjugate Gradient (PCG) schemes for solving of large sparse linear systems arising from application of second order cone programming in computational plasticity problems is studied. Direct solvers fail to solve these linear systems in large sizes, such as three dimensional cases, due to their high storage and computational cost. This motivates using iterative methods. However, iterative solvers are not efficient without preconditioning techniques for difficult problems. In this paper, the effect of different incomplete factorization preconditioning techniques on the convergence behavior of the preconditioned Conjugate Gradient (PCG) method to solve these large sparse and usually ill-conditioned linear systems is investigated. Furthermore, numerical results of applying PCG to several sample systems are presented and discussed. Several suggestions are also made as potential research subjects in this field.
- Subject
- incomplete factorization preconditioning; limit analysis; preconditioned conjugate gradient method; interior point method
- Identifier
- http://hdl.handle.net/1959.13/1061020
- Identifier
- uon:16860
- Identifier
- ISBN:9789881925107
- Language
- eng
- Full Text
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