摘要
本文提出了求解位势问题的虚边界元法，建立了位势问题的虚边界元的离散方程式，推导了离散化求系数的积分解析式。该方法与传统边界元法相比具有不存在奇异积分和边界附近精度较高等优点，可用来计算真空静电场、稳定温度场、流体绕流、介质中的渗流等各类位势问题。大量算例均获得了满意的结果。
A virtual boundary element method is presented for solving the potential problems.Thediscretized boundary integral equations for the potential problems are formulated by the vir-tual boundary element and the discretized integral analytical expressions for calculating thecoefficients of matrix of the equations to be solved are deduced.This method has the advan-tages of no singular integral and higher accuracy near the real boundary and can be used tosolve all potential problems,such as the vacuum static electric field,the temperature field,theflow field generated by fluid passing through a body,the penetrating flow and so on. Someexamples are calculated and satisfactory results are obtained.
关键词
位势
边界元
虚边界元
工程结构
potential/boundary element
virtual boundary element
