边界元法在热传导中的应用探讨

The study of application of boundarny element method in heat conduction

本文从热传导的Laplace方程出发,简述了建立三维热传导问题的边界积分方程式及边界元计算的方法,通过与有限元法比较可知,边界元法仅需在物体表面离散网格而且计算精度高,从而可广泛地应用于其他行业。

This paper derives the boundary integral equation for solving three-dimensional heat conduction problems and presents further the formula of the boundary element method from the Laplace equation, Compared with the finite clement method, the boundary element method gives more accurate results after requiring only dcscretigation the continuous boundary of an object into a number of elements. The boundary element method can be widely used in many fields.