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An Aggregation-Based Domain Decomposition Preconditioner for Groundwater Flow
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
Space decomposition preconditioners and their application in geomechanics
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PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part I
Mathematics and Computers in Simulation
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The paper describes an application of large scale finite element analysis for the assessment of stress changes in rocks induced by mining. This application allows us to illustrate efficiency of an approach based mainly on problem decomposition and parallel computing. For the main part of the computations, which is the solution of large linear systems, we use two decomposition techniques (displacement and domain decomposition). Another decomposition technique is exploited for local FE analysis of the near stress field on so called composite grids. The described methods are tested on the solution of two benchmark problems, which originate from the modelling of the effects of mining. The parallel computations are performed on a small Linux cluster.