MPI parallel implementation of CBF preconditioning for 3D elasticity problems1This research has been supported by the Copernicus CP 940820 (HIPERGEOS) Project and by the Bulgarian NSF Grant I-701/97.1

Ivan Lirkov and Svetozar Margenov

Mathematics and Computers in Simulation (MATCOM), 1999, vol. 50, issue 1, 247-254

Abstract: The numerical solution of 3D linear elasticity equations is considered. The problem is described by a coupled system of second-order elliptic partial differential equations. This system is discretized by trilinear brick finite elements. The PCG iterative method is used for solving the large-scale linear algebraic systems arising after the FEM discretization of the problem. Displacement decomposition technique is applied at the first step to construct a preconditioner using the decoupled block-diagonal part of the original matrix. Then circulant block-factorization is used for preconditioning of the obtained block-diagonal matrix.

Keywords: Parallel algorithms; PCG method; Preconditioner; Circulant matrix (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:50:y:1999:i:1:p:247-254

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