Cascadic multigrid for finite volume methods for elliptic problems

Zhong Ci Shi; Xue Jun Xu; Hong Ying Man

Cascadic multigrid for finite volume methods for elliptic problems

Zhong Ci Shi^*, Xue Jun Xu, Hong Ying Man

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	905-920
Number of pages	16
Journal	Journal of Computational Mathematics
Volume	22
Issue number	6
Publication status	Published - Nov 2004
Externally published	Yes

Keywords

Cascadic multigrid
Elliptic problems
Finite volume methods

Cite this

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title = "Cascadic multigrid for finite volume methods for elliptic problems",

abstract = "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.",

keywords = "Cascadic multigrid, Elliptic problems, Finite volume methods",

author = "Shi, {Zhong Ci} and Xu, {Xue Jun} and Man, {Hong Ying}",

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language = "English",

volume = "22",

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journal = "Journal of Computational Mathematics",

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T1 - Cascadic multigrid for finite volume methods for elliptic problems

AU - Shi, Zhong Ci

AU - Xu, Xue Jun

AU - Man, Hong Ying

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N2 - 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.

AB - 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.

KW - Cascadic multigrid

KW - Elliptic problems

KW - Finite volume methods

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M3 - Article

AN - SCOPUS:10444261132

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VL - 22

SP - 905

EP - 920

JO - Journal of Computational Mathematics

JF - Journal of Computational Mathematics

IS - 6

ER -

Cascadic multigrid for finite volume methods for elliptic problems

Abstract

Keywords

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