一类周期性热传导方程的边界元数值解法

Boundary Element Solution to a Class of Periodical Heat Conduction Equation

引入周期性热传导方程混合边值问题的基本解矩阵,得到边界积分方程和边界变分方程。利用Soblev空间的性质,给出边界元近似解的误差估计。本文结果消除了常规边界元计算中边界积分方程的区域积分项。

The fundamental solution matrix of a class of the mixed boundary value problem for periodical heat conduction equations is introduced. The boundary integral equation and boundary variational formulation are presented. The error estimates for the boundary element approximate solutions are given by means of the property of Soblev space. The results in this paper have been developed in a method for elimination of domain integral appearing in the boundary integral equation.