On Extrapolation Cascadic Multigrid Method

On Extrapolation Cascadic Multigrid Method

Year:    2011

Journal of Computational Mathematics, Vol. 29 (2011), Iss. 6 : pp. 684–697

Abstract

Based on an asymptotic expansion of (bi)linear finite elements, a new extrapolation formula and extrapolation cascadic multigrid method (EXCMG) are proposed. The key ingredients of the proposed methods are some new extrapolations and quadratic interpolations, which are used to provide better initial values on the refined grid. In the case of triple grids, the errors of the new initial values are analyzed in detail. The numerical experiments show that EXCMG has higher accuracy and efficiency.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1110-m11si05

Journal of Computational Mathematics, Vol. 29 (2011), Iss. 6 : pp. 684–697

Published online:    2011-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Cascadic multigrid Finite element New extrapolation Error analysis.

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