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A Two-Level Preconditioned Conjugate-Gradient Method in Distorted and Structured Grids

Published online by Cambridge University Press:  03 June 2015

Qiaolin He
Qiaolin He*
Affiliation:
Deparment of Mathematics, Sichuan University, Chengdu 610064, Sichuan, China
*
*Corresponding author. Email: qlhejenny@gmail.com
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Abstract

In this paper, we propose a new two-level preconditioned C-G method which uses the quadratic smoothing and the linear correction in distorted but topo-logically structured grid. The CPU time of this method is less than that of the multigrid preconditioned C-G method (MGCG) using the quadratic element, but their accuracy is almost the same. Numerical experiments and eigenvalue analysis are given and the results show that the proposed two-level preconditioned method is efficient.

Keywords

65F0865N2265N3065N50Preconditionconjugate gradientmultigridfinite element

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Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 4 , Issue 2 , April 2012, pp. 238 - 249
Copyright
Copyright © Global-Science Press 2012

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