A multilevel method with overcorrection by aggregation for solving discrete elliptic problems
Journal of Computational and Applied Mathematics - Special issue on iterative methods for the solution of linear systems
Iterative solution methods
The use of pointwise interpolation in domain decomposition methods with nonnested meshes
SIAM Journal on Scientific Computing
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Mathematics and Computers in Simulation - Special issue from IMACS sponsored conference: “Modelling '98”
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
Mathematics and Computers in Simulation - MODELLING 2001 - Second IMACS conference on mathematical modelling and computational methods in mechanics, physics, biomechanics and geodynamics
Decentralized data management framework for data grids
Future Generation Computer Systems - Special section: Data mining in grid computing environments
Mathematics and Computers in Simulation
A parallel method for large sparse generalized eigenvalue problems using a GridRPC system
Future Generation Computer Systems
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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.