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计算数学  1993 

A PRECONDITIONED CONJUGATE GRADIENT METHO D WITH NONOVERLAP DOMAIN DECOMPOSITION
非重迭型区域分解预处理共轭梯度法

Keywords: 共轭梯度法,区域分解,非重迭型

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Abstract:

In this paper, a preconditioned conjugate gradient method with nonoverlap domain decom-position is considered. Based on the algebraic approach, a preconditioner is given by splittingthe stiff matrix; The matrix form of this preconditioner is presented. The condition numberof the preconditioned system is proportion to C (1+ln (H/h))~2, where H is the maximum dia-meter of subdomains and h is the parameter of the finite element.

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