传热导方程的边界元分析

Boundary Element Analysis for the Heat Conduction Equation

本文用边界元方法来处理热传导方程的初边值问题,给出解的边界积分方程及其变分形式,并证明了变分方程的适定性,同时导出了近似解的误差估计。所得到的结果包含了文[1]的情形。

In this paper ,we deal with the initial-boundary value problem for the heat conduction equation by boundary element method. We present a boundary integral equation for the solution to the problem and its variational formulation. The well posed-ness of the variational equation is proved. And the error estimates for the approximation solution are'provided. The results of the paper are more generalized than those of [1].