Abstract
In this paper we address the solution of large linear systems arising from the mathematical modelling in geomechanics and show an example of such modelling. The solution of linear systems is based on displacement decomposition or domain decomposition techniques with inexact solution of the arising subproblems by inner iterations. The use of inner iterations requires a generalization of the preconditioned CG method but brings additional benefits for parallel computation, possibility of reduction of the interprocessor communications and an additional tool of load balance.
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Keywords
- Domain Decomposition
- Conjugate Gradient Method
- Outer Iteration
- Space Decomposition
- Interprocessor Communication
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© 2002 Springer-Verlag Berlin Heidelberg
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Blaheta, R., Jakl, O., Starý, J. (2002). Parallel High-Performance Computing in Geomechanics with Inner/Outer Iterative Procedures. In: Sloot, P.M.A., Hoekstra, A.G., Tan, C.J.K., Dongarra, J.J. (eds) Computational Science — ICCS 2002. ICCS 2002. Lecture Notes in Computer Science, vol 2331. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47789-6_86
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DOI: https://doi.org/10.1007/3-540-47789-6_86
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