PVM: Parallel virtual machine: a users' guide and tutorial for networked parallel computing
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Domain decomposition: parallel multilevel methods for elliptic partial differential equations
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Mathematics and Computers in Simulation - Special issue from IMACS sponsored conference: “Modelling '98”
Numerical Linear Algebra for High Performance Computers
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PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part I
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This paper describes the displacement decomposition for elasticity problems solved by the finite element method. This decomposition can be used for parallel implementation of the conjugate gradient solvers and construction of parallelisable preconditioners. Both the fixed and variable preconditioning can be applied according to the solution of subproblems. Numerical efficiency of the parallel algorithms is demonstrated on an academic benchmark and real-life modelling problem. A comparison with a domain decomposition technique is also provided.