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
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container_title Acta mathematica scientia
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creator Chuanmiao, Chen
Hongling, Hu
Ziqing, Xie
Chenliang, Li
description 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.
doi_str_mv 10.1016/S0252-9602(09)60052-7
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title L 2 -error of extrapolation cascadic multigrid (excmg)
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