| L^2-ERROR OF EXTRAPOLATION CASCADIC MULTIGRID （EXCMG） |
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| 引用本文： | 陈传淼,胡宏伶,谢资清,李郴良.L^2-ERROR OF EXTRAPOLATION CASCADIC MULTIGRID （EXCMG）[J].数学物理学报(B辑英文版),2009,29(3):539-551. |
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| 作者姓名： | 陈传淼 胡宏伶 谢资清 李郴良 |
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| 作者单位： | Institute of Computation, Hunan Normal University, Changsha 410081, China
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| 基金项目： | 国家自然科学基金，Doctor Programme of the National Education Committee |
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| 摘 要： | 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^1-norm and the optimal error in l2-norm are analyzed. The numerical experiment shows the advantage of EXCMG in comparison with CMG.
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| 关 键 词： | 外推法 多重 瀑布 误差 渐近展开 二次插值 l2范数 数值实验 |
L2-ERROR OF EXTRAPOLATION CASCADIC MULTIGRID (EXCMG) |
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| Chen Chuanmiao,Hu Hongling,Xie Ziqing,Li Chenliang.L2-ERROR OF EXTRAPOLATION CASCADIC MULTIGRID (EXCMG)[J].Acta Mathematica Scientia,2009,29(3):539-551. |
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| Authors: | Chen Chuanmiao Hu Hongling Xie Ziqing Li Chenliang |
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| Institution: | Institute of Computation, Hunan Normal University, Changsha 410081, China |
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| Abstract: | 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 H1-norm and the optimal error in l2-norm are analyzed.The numerical experiment shows the advantage of EXCMG in comparison with CMG. |
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| Keywords: | cascadic multigrid finite element new extrapolation quadratic interpola-tion L2-error |
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