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

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

Year:    2012

Author:    Qiaolin He

Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 2 : pp. 238–249

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 topologically 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.10-m11133

Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 2 : pp. 238–249

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Precondition conjugate gradient multigrid finite element.

Author Details

Qiaolin He