| 基于四边形剖分的多尺度有限体积方法 |
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| 引用本文： | 曹海涛,岳兴业.基于四边形剖分的多尺度有限体积方法[J].扬州大学学报(自然科学版),2008,11(4). |
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| 作者姓名： | 曹海涛 岳兴业 |
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| 作者单位： | 1. 河海大学(常州)数理部,江苏,常州,213003
2. 中国科学技术大学,数学系,合肥,230026 |
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| 摘 要： | 在一类多尺度方法（heterogeneous multi-scale method,HMM）的基础上,结合有限体积方法（finitevolume method,FVM）,提出多尺度有限体积方法（HMM-FVM）,用于数值计算一类多尺度抛物型偏微分方程,同时给出相关误差估计.计算结果表明,多尺度有限体积方法比传统的有限元法、有限体积法有效,既节省计算量,又有较高的精度.
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| 关 键 词： | 多尺度方法 均匀化理论 有限体积方法 抛物型方程 误差估计 |
Multi-scale finite volume method based on quadrilateral mesh generation |
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| CAO Hai-tao,YUE Xing-ye.Multi-scale finite volume method based on quadrilateral mesh generation[J].Journal of Yangzhou University(Natural Science Edition),2008,11(4). |
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| Authors: | CAO Hai-tao YUE Xing-ye |
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| Institution: | CAO Hai-tao1,YUE Xing-ye2(1.Dept of Math,Changzhou Sch of Hohai Univ,Changzhou 213003,China,2.Dept of Math,Univ of Sci & Tech of China,Hefei 230026,China) |
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| Abstract: | This paper proposes a numerical method the heterogeneous multi-scale finite volume method(HMM-FVM),for solving a multi-scale parabolic problem.The method bases on the framework of HMM.Some error estimates are obtained.It has been shown that the proposed method is better than the traditional FEM and FVM not only in calculation speed but also in accuracy. |
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| Keywords: | multi-scale method homogenization theory finite volume method parabolic equation error estimate |
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