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Volume 22, Issue 6
Cascadic Multigrid for Finite Volume Methods for Elliptic Problems

Zhongci Shi, Xuejun Xu & Hongying Man

J. Comp. Math., 22 (2004), pp. 905-920.

Published online: 2004-12

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  • Abstract

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.

  • Keywords

Cascadic multigrid, Finite volume methods, Elliptic problems.

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COPYRIGHT: © Global Science Press

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@Article{JCM-22-905, author = {Shi , ZhongciXu , Xuejun and Man , Hongying}, title = {Cascadic Multigrid for Finite Volume Methods for Elliptic Problems}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {6}, pages = {905--920}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10294.html} }
TY - JOUR T1 - Cascadic Multigrid for Finite Volume Methods for Elliptic Problems AU - Shi , Zhongci AU - Xu , Xuejun AU - Man , Hongying JO - Journal of Computational Mathematics VL - 6 SP - 905 EP - 920 PY - 2004 DA - 2004/12 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10294.html KW - Cascadic multigrid, Finite volume methods, Elliptic problems. AB -

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.

Shi , ZhongciXu , Xuejun and Man , Hongying. (2004). Cascadic Multigrid for Finite Volume Methods for Elliptic Problems. Journal of Computational Mathematics. 22 (6). 905-920. doi:
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