| 具有周期间断振荡系数抛物型方程的多尺度有限元法 |
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| 引用本文： | 费强,翟方曼.具有周期间断振荡系数抛物型方程的多尺度有限元法[J].合肥学院学报(自然科学版),2014,24(3):12-16. |
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| 作者姓名： | 费强 翟方曼 |
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| 作者单位： | 1. 合肥幼儿师范高等专科学校基础部 合肥230011
2. 南京林业大学理学院 南京210037 |
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| 摘 要： | 针对一类具有周期间断振荡系数抛物型方程的初边值问题,提出了多尺度渐进展开式,在此基础上,发展了多尺度有限元方法,并给出相关的收敛性分析.数值计算结果表明该算法是有效的.
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| 关 键 词： | 抛物型方程 周期间断振荡系数 多尺度渐进展开式 有限元法 |
Multiscale Finite Element Method for Parabolic Equations with Rapidly Oscillating Periodic Discontinuous Coefficients |
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| FEI Qiang,ZHAI Fang-man.Multiscale Finite Element Method for Parabolic Equations with Rapidly Oscillating Periodic Discontinuous Coefficients[J].Journal of Hefei University :Natural Sciences,2014,24(3):12-16. |
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| Authors: | FEI Qiang ZHAI Fang-man |
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| Institution: | FEI Qiang, ZHAI Fang-man (1. Basic Courses, Hefei Preschool Education College, Hefei, 230011 2. School of Science, Nanjing Forestry University,Nanjing,210037,China) |
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| Abstract: | The initial-boundary value problems of parabolic equations with rapidly oscillating pe- riodic discontinuous coefficients are considered and the multiscale asymptotic method is developed in this paper. From this, the multiscale finite element method and the convergence analysis are derived. Numerical simulations are then carried out to validate the above theoretical results. |
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| Keywords: | parabolic equation rapidly oscillating periodic discontinuous coefficients multiscaleasymptotic expansion finite element method |
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