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Volume 22, Issue 1
Cascadic Multigrid Method for Isoparametric Finite Element with Numerical Integration

Chunjia Bi & Likang Li

J. Comp. Math., 22 (2004), pp. 123-136.

Published online: 2004-02

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  • Abstract

The purpose of this paper is to study the cascadic multigrid method for the second-order elliptic problems with curved boundary in two-dimension which are discretized by the isoparametric finite element method with numerical integration. We show that the CCG method is accurate with optimal complexity and traditional multigrid smoother (like symmetric Gauss-Seidel, SSOR or damped Jacobi iteration) is accurate with suboptimal complexity.

  • Keywords

Cascadic multigrid method, lsoparametric element, Numerical integration.

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  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-22-123, author = {Bi , Chunjia and Li , Likang}, title = {Cascadic Multigrid Method for Isoparametric Finite Element with Numerical Integration}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {1}, pages = {123--136}, abstract = {

The purpose of this paper is to study the cascadic multigrid method for the second-order elliptic problems with curved boundary in two-dimension which are discretized by the isoparametric finite element method with numerical integration. We show that the CCG method is accurate with optimal complexity and traditional multigrid smoother (like symmetric Gauss-Seidel, SSOR or damped Jacobi iteration) is accurate with suboptimal complexity.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10340.html} }
TY - JOUR T1 - Cascadic Multigrid Method for Isoparametric Finite Element with Numerical Integration AU - Bi , Chunjia AU - Li , Likang JO - Journal of Computational Mathematics VL - 1 SP - 123 EP - 136 PY - 2004 DA - 2004/02 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10340.html KW - Cascadic multigrid method, lsoparametric element, Numerical integration. AB -

The purpose of this paper is to study the cascadic multigrid method for the second-order elliptic problems with curved boundary in two-dimension which are discretized by the isoparametric finite element method with numerical integration. We show that the CCG method is accurate with optimal complexity and traditional multigrid smoother (like symmetric Gauss-Seidel, SSOR or damped Jacobi iteration) is accurate with suboptimal complexity.

Chunjia Bi & Likang Li. (1970). Cascadic Multigrid Method for Isoparametric Finite Element with Numerical Integration. Journal of Computational Mathematics. 22 (1). 123-136. doi:
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