Cascadic multigrid for finite volume methods for elliptic problems

被引：2

作者：

Shi, ZC ^{[1
]}

Xu, XJ

Man, HY

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100080, Peoples R China

[2] Chinese Acad Sci, Grad Sch, Beijing 100080, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2004年 / 22卷 / 06期

关键词：

cascadic multigrid; finite volume methods; elliptic problems;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some effective cascadic multigrid methods are proposed for solving the large scale symmetric or nonsymmetric algebraic systems arising from the finite volume methods for second order elliptic problems. It is shown that these algorithms are optimal in both accuracy and computational complexity. Numerical experiments are reported to support our theory.

引用

页码：905 / 920

页数：16

共 50 条

[31] MULTIGRID DOMAIN DECOMPOSITION METHODS FOR ELLIPTIC PROBLEMS
KUZNETSOV, YA
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1989, 75 (1-3) : 185 - 193
[32] The immersed finite volume element methods for the elliptic interface problems
Ewing, RE
Li, ZL
Lin, T
Lin, YP
MATHEMATICS AND COMPUTERS IN SIMULATION, 1999, 50 (1-4) : 63 - 76
[33] The immersed finite volume element methods for the elliptic interface problems
Institute for Scientific Computation, Texas A and M University, College Station, TX 77843-3404, United States
不详
不详
Math Comput Simul, 1-4 (63-76):
[34] A type of cascadic multigrid method for coupled semilinear elliptic equations
Fei Xu
Qiumei Huang
Numerical Algorithms, 2020, 83 : 485 - 510
[35] A type of cascadic multigrid method for coupled semilinear elliptic equations
Xu, Fei
Huang, Qiumei
NUMERICAL ALGORITHMS, 2020, 83 (02) : 485 - 510
[36] Cascadic Multigrid Method for The Elliptic Monge-Ampere Equation
Liu, Zhiyong
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (04) : 674 - 687
[37] IMPROVED SPECTRAL MULTIGRID METHODS FOR PERIODIC ELLIPTIC PROBLEMS
BRANDT, A
FULTON, SR
TAYLOR, GD
JOURNAL OF COMPUTATIONAL PHYSICS, 1985, 58 (01) : 96 - 112
[38] MULTIGRID METHODS FOR ELLIPTIC PROBLEMS IN UNBOUNDED-DOMAINS
GOLDSTEIN, CI
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1993, 30 (01) : 159 - 183
[39] Multigrid Methods for Linear Elliptic Optimal Control Problems
Vallejos, M.
Borzi, A.
NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS, 2008, : 653 - 660
[40] Multigrid methods for discrete elliptic problems on triangular surfaces
Kornhuber, Ralf
Yserentant, Harry
COMPUTING AND VISUALIZATION IN SCIENCE, 2008, 11 (4-6) : 251 - 257

← 1 2 3 4 5 →