| 面向对象的热传导时空有限元分析 |
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| 引用本文： | 曹波,魏泳涛,于建华.面向对象的热传导时空有限元分析[J].四川大学学报(工程科学版),2002,34(3):92-95. |
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| 作者姓名： | 曹波 魏泳涛 于建华 |
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| 作者单位： | 四川大学,建筑学院土木力学系,四川,成都,610065 |
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| 摘 要： | 基于Gurtin变分原理，推导并建立了求解瞬态热传导方程的时空有限元列式，构造了适合处理时空有限元的单元类并封装了卷积运算，最后对二维热传导算例编程进行计算，计算结果表明时空有限元法计算精度高，稳定收敛，是一种有效的方法，同时面向对象的使用大大提高了编程的效率和程序的通用性。
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| 关 键 词： | Gurtin变分原理 时空有限元法 热传导方程 面向对象方法 程序设计 |
| 文章编号： | 1009-3087(2002)03-0092-04 |
| 修稿时间： | 2001年6月18日 |
Space-time Finite Element Analysis for Heat Conduction via Object-oriented Approach |
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| CAO Bo,WEI Yong tao,YU Jian hua.Space-time Finite Element Analysis for Heat Conduction via Object-oriented Approach[J].Journal of Sichuan University (Engineering Science Edition),2002,34(3):92-95. |
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| Authors: | CAO Bo WEI Yong tao YU Jian hua |
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| Abstract: | Based on the Gurtin variational principle, the formula of space time finite element method for transient heat conduction equation were derived. The space time element class was established, and the convolution was computed via object oriented approach. Finally a two dimensional example was computed, and the results demostrated the convergence and high accuracy of the space time FEM. |
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| Keywords: | gurtin variational principle space time finite element method heat conduction equation object oriented method |
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