| 非齐次小周期复合材料稳态热问题的多尺度渐近展开和收敛性分析 |
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| 引用本文： | 孙涛,孙艳萍,宋士仓.非齐次小周期复合材料稳态热问题的多尺度渐近展开和收敛性分析[J].数学的实践与认识,2010,40(19). |
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| 作者姓名： | 孙涛 孙艳萍 宋士仓 |
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| 基金项目： | 国家自然科学基金，河南工程学院青年基金 |
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| 摘 要： | 利用多尺度渐近展开和均匀化思想讨论了小周期复合材料的稳态热问题,得到了非齐次边界条件下二阶椭圆型方程的渐近解,并给出了原始解与渐近解之间的误差估计,数值结果表明了结论的正确性.
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| 关 键 词： | 非齐次稳态热问题 小周期复合材料 多尺度渐近展开和均匀化 |
A Multiscale Asymptotic Expansion and Its Convergence Analysis for Nonhomogeneous Stationary Thermal Problem in Small Periodic Composite Materials |
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| SUN Tao,SUN Yan-ping,SONG Shi-tang.A Multiscale Asymptotic Expansion and Its Convergence Analysis for Nonhomogeneous Stationary Thermal Problem in Small Periodic Composite Materials[J].Mathematics in Practice and Theory,2010,40(19). |
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| Authors: | SUN Tao SUN Yan-ping SONG Shi-tang |
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| Abstract: | Use the asymptotic expansion and homogenization methods to study the non-homogeneous stationary thermal problem in small periodic composite materials,derive an asymptotic expansion and give its convergence analysis.The corresponding numerical example conform theoretical analysis well. |
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| Keywords: | Nonhomogeneous stationary thermal problems small periodic composite materials Multiscale asymptotic expansion and homogenization |
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