A fast quasi-multiple medium method for 3-D BEM calculation of parasitic capacitance

作者：Yu WJ^*; Wang ZY

来源：Computers & Mathematics with Applications, 2003, 45(12): 1883-1894.

DOI：10.1016/S0898-1221(03)90009-5

• quasi multiple medium
• boundary element method
• Laplace equation
• 3-D parasitic capacitance calculation

A quasi-multiple medium (QMM) method is proposed to accelerate the boundary element method (BEM) for the 3-D parasitic capacitance calculation. In the QMM method, a homogeneous dielectric is decomposed into a number of fictitious medium blocks, each with the same permittivity of original medium. By the localization character of BEM, the QMM method makes great sparsity to the coefficient matrix of the overall discretized BEM equations. Then, using storing technique of sparse matrix and iterative equation solvers, the sparsity is explored to greatly reduce CPU time and memory usage of BEM computation. The computational complexity of the QMM accelerated BEM for a single-medium model problem is analyzed, and it is concluded as O(N), if the number of iterations is bounded. Numerical results verify the theoretical analysis and show the accelerating efficiency of the QMM method for calculation of 3-D parasitic capacitance.

• 出版日期2003-6
• 单位清华大学