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

被引：1

作者：

He, Qiaolin ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

来源：

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2012年 / 4卷 / 02期

基金：

国家教育部博士点专项基金资助;

关键词：

Precondition; conjugate gradient; multigrid; finite element; ALGEBRAIC MULTIGRID METHOD;

D O I：

10.4208/aamm.10-m11133

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：238 / 249

页数：12

共 47 条

[1] AN ELEMENT-BY-ELEMENT PRECONDITIONED CONJUGATE-GRADIENT METHOD IMPLEMENTED ON A VECTOR COMPUTER
ERHEL, J
TRAYNARD, A
VIDRASCU, M
PARALLEL COMPUTING, 1991, 17 (09) : 1051 - 1065
[2] Multigrid preconditioned conjugate-gradient solver for mixed finite-element method
John David Wilson
Richard L. Naff
Computational Geosciences, 2010, 14 : 289 - 299
[3] Multigrid preconditioned conjugate-gradient solver for mixed finite-element method
Wilson, John David
Naff, Richard L.
COMPUTATIONAL GEOSCIENCES, 2010, 14 (02) : 289 - 299
[4] PARALLEL PRECONDITIONED CONJUGATE-GRADIENT TYPE ALGORITHMS FOR GENERAL SPARSITY STRUCTURES
FILIPPONE, S
MARRONE, M
DIBROZOLO, GR
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1992, 44 (1-4) : 159 - 167
[5] WEIGHTED GRAPH-BASED ORDERING TECHNIQUES FOR PRECONDITIONED CONJUGATE-GRADIENT METHODS
CLIFT, SS
TANG, WP
BIT, 1995, 35 (01): : 30 - 47
[6] ON A CONJUGATE-GRADIENT 2-GRID METHOD FOR 3-DIMENSIONAL ELASTICITY
MUTTIN, F
CHENOT, JL
ENGINEERING COMPUTATIONS, 1995, 12 (01) : 3 - 20
[7] Application of the preconditioned conjugate gradient method to reconstruction of seismic data
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CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION, 2013, 56 (04): : 1321 - 1330
[8] A parallel preconditioned conjugate gradient solution method for finite element problems with coarse-fine mesh formulation
Zucchini, A
COMPUTERS & STRUCTURES, 2000, 78 (06) : 781 - 787
[9] ON PRECONDITIONED CONJUGATE GRADIENT METHOD FOR TIME-VARYING OFDM CHANNEL EQUALIZATION
Tang, Zijian
Remis, Rob
Nordenvaad, Magnus Lundberg
2012 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP), 2012, : 3197 - 3200
[10] A promising nonlinear conjugate-gradient method proposed to design nonlinear domains with a disordered distribution
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Yue, Gui-Kuan
Zhou, Yun-Song
Wang, Fu-He
MODERN PHYSICS LETTERS B, 2015, 29 (09):

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