Volume 4, Issue 2
A Two-Level Preconditioned Conjugate-Gradient Method in Distorted and Structured Grids

Qiaolin He

Adv. Appl. Math. Mech., 4 (2012), pp. 238-249.

Published online: 2012-04

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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 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.

  • Keywords

Precondition conjugate gradient multigrid finite element

  • AMS Subject Headings

65F08 65N22 65N30 65N50

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COPYRIGHT: © Global Science Press

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@Article{AAMM-4-238, author = {Qiaolin He}, title = {A Two-Level Preconditioned Conjugate-Gradient Method in Distorted and Structured Grids}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2012}, volume = {4}, number = {2}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-m11133}, url = {http://global-sci.org/intro/article_detail/aamm/117.html} }
TY - JOUR T1 - A Two-Level Preconditioned Conjugate-Gradient Method in Distorted and Structured Grids AU - Qiaolin He JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 238 EP - 249 PY - 2012 DA - 2012/04 SN - 4 DO - http://dor.org/10.4208/aamm.10-m11133 UR - https://global-sci.org/intro/aamm/117.html KW - Precondition KW - conjugate gradient KW - multigrid KW - finite element AB -

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.

Qiaolin He. (1970). A Two-Level Preconditioned Conjugate-Gradient Method in Distorted and Structured Grids. Advances in Applied Mathematics and Mechanics. 4 (2). 238-249. doi:10.4208/aamm.10-m11133
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