NDLI: A parallel linear solver exploiting the physical properties of the underlying mechanical problem

Content Provider	Springer Nature Link
Author	Lingen, F. J. Bonnier, P. G. Brinkgreve, R. B. J. Gijzen, M. B. Vuik, C.
Copyright Year	2014
Abstract	The iterative solution of large systems of equations may benefit from parallel processing. However, using a straight-forward domain decomposition in “layered” geomechanical finite element models with significantly different stiffnesses may lead to slow or non-converging solutions. Physics-based domain decomposition is the answer to such problems, as explained in this paper and demonstrated on the basis of a few examples. Together with a two-level preconditioner comprising an additive Schwarz preconditioner that operates on the sub-domain level, an algebraic coarse grid preconditioner that operates on the global level, and additional load balancing measures, the described solver provides an efficient and robust solution of large systems of equations. Although the solver has been developed primarily for geomechanical problems, the ideas are applicable to the solution of other physical problems involving large differences in material properties.
Starting Page	913
Ending Page	926
Page Count	14
File Format	PDF
ISSN	14200597
Journal	Computational Geosciences
Volume Number	18
Issue Number	6
e-ISSN	15731499
Language	English
Publisher	Springer International Publishing
Publisher Date	2014-08-27
Publisher Place	Cham
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Parallel Preconditioner Domain-decomposition Deflation Iterative method Mechanical Earth Sciences Geotechnical Engineering & Applied Earth Sciences Hydrogeology Mathematical Modeling and Industrial Mathematics Soil Science & Conservation
Content Type	Text
Resource Type	Article
Subject	Computers in Earth Sciences Computational Theory and Mathematics Computer Science Applications Computational Mathematics

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