关键词: 边界元素法, 积分方程, 电阻, 电容

Abstract: A new algorithm based on the Boundary Element Method (BeM) is employed to calculate two-dimensional multi-terminal resistance of irregular polygons and two-dimensional capacitance with complex structures. The same calculation program can be used for computation of both resistance and capacitance, only the post-process programs are different. For BEM only the integral equation on the boundary of the solved domain needs to be calculated. The grid number on the boundary for BEM is much smaller than the mesh number on the domain for both the finite difference Method and the finite element method. It causes remarkable reduction of execution CPU time and simplification of the grid generation. The computational results indicate that the advantage of BEM is high precision and very powerful for treatment of complex boundaries.

Key words: boundary element method, integral equation, resistance, capacitance