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• W3301006 abstract "AbstractParallel performance of a new solver for 3D elliptic problems based on a circulantblock-factorization preconditioner is investigated. Experimental data collected on anumber of parallel computers is reported and discussed. 1 Introduction Let us consider the numerical solution of a self-adjoint second order 3D linear boundaryvalue problem of elliptic type. After discretization, such a problem results in a linearsystem Ax = b , where A is a structured sparse symmetric positive de nite matrix. Inthe computational practice, large-scale problems of this class are most often solved by theKrylov subspace based iterative methods (e.g. conjugate gradient method). Each step ofsuch a method requires only a product of A with a given vector v allowing one to exploit thesparsity of A . The rate of convergence of these methods depends on the condition number  of the coecient matrix A : smaller  ( A ) leads to faster convergence. Unfortunately, forthe second order 3D elliptic problems, typically" @default.
• W3301006 created "2016-06-24" @default.
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• W3301006 date "1999-01-01" @default.
• W3301006 modified "2023-09-26" @default.
• W3301006 title "Parallel Conjugate Gradient Method with Circulant Block-Factorization Preconditioners for 3D Elliptic Problems." @default.
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