L 2 -error of extrapolation cascadic multigrid (excmg)

L 2 -error of extrapolation cascadic multigrid (excmg)

Based on an asymptotic expansion of finite element, an extrapolation cascadic multigrid method (EXCMG) is proposed, in which the new extrapolation and quadratic interpolation are used to provide a better initial value on refined grid. In the case of multiple grids, both superconvergence error in H[s...

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Veröffentlicht in:Acta mathematica scientia 2009-05, Vol.29 (3), p.539-551
Hauptverfasser: Chuanmiao, Chen, Hongling, Hu, Ziqing, Xie, Chenliang, Li
Format: Artikel
Sprache:eng
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Zusammenfassung:Based on an asymptotic expansion of finite element, an extrapolation cascadic multigrid method (EXCMG) is proposed, in which the new extrapolation and quadratic interpolation are used to provide a better initial value on refined grid. In the case of multiple grids, both superconvergence error in H[super]1-norm and the optimal error in /[super]2-norm are analyzed. The numerical experiment shows the advantage of EXCMG in comparison with CMG.
ISSN:0252-9602
DOI:10.1016/S0252-9602(09)60052-7