| 二维热传导方程的Dirichlet初边值问题的Galerkin边界元计算方法 |
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| 引用本文： | 吴胤霖,祝家麟,汪学海,张永兴.二维热传导方程的Dirichlet初边值问题的Galerkin边界元计算方法[J].四川师范大学学报(自然科学版),2009,32(4). |
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| 作者姓名： | 吴胤霖 祝家麟 汪学海 张永兴 |
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| 作者单位： | 1. 重庆大学,数理学院,重庆,400044
2. 重庆大学,土木工程学院,重庆,400045 |
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| 摘 要： | 对二维热传导方程的Dirichlet初边值问题,采用带时间变量的基本解,利用基于单层位势的间接边界积分方程及其等价的Galerkin变分形式求解,该方法涉及到与时空相关的四重积分的计算.在采用常单元离散的情况下,推导了具体实施数值计算所需的积分公式,完成了数值算例,验证了该方法的有效性和可行性.
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| 关 键 词： | 热传导方程 Galerkin边界元法 间接边界积分方程 单层位势 |
Galerkin Boundary Element Method for Dirichlet Problem of 2D Heat Conduction |
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| WU Yin-lin,ZHU Jia-lin,WANG Xue-hai,ZHANG Yong-xing.Galerkin Boundary Element Method for Dirichlet Problem of 2D Heat Conduction[J].Journal of Sichuan Normal University(Natural Science),2009,32(4). |
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| Authors: | WU Yin-lin ZHU Jia-lin WANG Xue-hai ZHANG Yong-xing |
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| Institution: | 1.College of Mathematics and Physics;Chongqing University;Chongqing 400044;2.College of Civil Engineering;Chongqing 400045 |
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| Abstract: | Dirichlet problem of two-dimensional heat conduction equation is considered.By adopting time-dependent fundamental solution,indirect boundary integral equation and its equivalent Galerkin variational formula which is based on simple layer potential a solving method is conducted for the equation.The method is involved with quadruple integral calculation on space-time.On the condition that the equation is discretizated by adopting constant cell,the integral formulas needed by actualizing numerical calculation... |
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| Keywords: | Heat conduction equation Galerkin boundary element method Indirect boundary integral equation Simple layer potential |
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