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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。
In this paper, we present a virtual boundary element method for solving potential problems and a discrete equation for the virtual boundary elements for potential problems. The integral analytic formula for discretizing the coefficients is derived. Compared with the traditional boundary element method, the proposed method has the advantages of no singular integral and high accuracy near the boundary. It can be used to calculate various potential problems such as vacuum electrostatic field, temperature field stabilization, fluid flow around the medium and seepage in the medium. A large number of examples have been satisfied with the results.