| 广义热传导方程有限元算法的计算准则 |
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| 引用本文： | 欧阳华江.广义热传导方程有限元算法的计算准则[J].应用数学和力学,1992,13(6):563-571. |
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| 作者姓名： | 欧阳华江 |
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| 作者单位： | 大连理工大学 |
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| 摘 要： | 本文作者曾对经典的(抛物型)热传导方程提出了两种单调性的新概念,推导并证明了几组计算准则,可以使其有限元数值解消除很容易出现的振荡和超界现象.本文把上述成果用于广义(双曲型)热传导方程的有限元解中,推导出它的有限元解的计算准则,并获得了一些新结论.
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| 关 键 词： | 热传导方程 双曲型偏微分方程 有限元法 准则/振荡 超界 |
| 收稿时间： | 1990-09-28 |
Criteria for Finite Element Algorithm of Generalized Heat Conduction Equation |
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| Ouyang Hua-jiang.Criteria for Finite Element Algorithm of Generalized Heat Conduction Equation[J].Applied Mathematics and Mechanics,1992,13(6):563-571. |
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| Authors: | Ouyang Hua-jiang |
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| Institution: | Research Institute of Engineering Mechanics, Dalian University of Technology, Dalian |
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| Abstract: | To eliminate oscillation and overbounding of finite element solutions of classical heat conduction equation, the author and Xiao have put forward two new concepts of monotonies and have derived and proved several criteria. This idea is borrowed here to deal with generalized heat conduction equation and finite element criteria for eliminating oscillation and overbounding are also presented. Some new and useful conclusions are drawn. |
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| Keywords: | heat conduction equation hyperbolic differential equation finite element method criteria/oscillation overbounding |
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