Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Numerical Linear Algebra for High Performance Computers
Numerical Linear Algebra for High Performance Computers
SIAM Journal on Scientific Computing
Large-Scale FE Modelling in Geomechanics: A Case Study in Parallelization
Proceedings of the 6th European PVM/MPI Users' Group Meeting on Recent Advances in Parallel Virtual Machine and Message Passing Interface
Performance of Various Computers Using Standard Linear Equations Software
Performance of Various Computers Using Standard Linear Equations Software
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This article describes the displacement decomposition and its benefits for the parallelization of the preconditioned conjugate gradient method for finite element elasticity problems. It deals with both the fixed and variable preconditioning based on this decomposition. Numerical efficiency of the parallel algorithms is demonstrated on an academic benchmark and real-life modelling problem.