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.