关于ICCG与有限元结合时计算特性的讨论

A Study on the Application of ICCG for EM Scattering Problems

本文给出了ICCG的复数形式,并将其应用于电磁场散问题的数值计算中.讨论了不同性态的矩阵方程用ICCG求解的特点.并与其它算法进行了对比.同时文中还讨论了有限元网格优化及预选参数Ψ对ICCG收敛速度的影响.结果表明这种算法对解大型问题.尤其是对大型稀疏阵非常有效.

When classical iterative method is applied to some large sparse sets of equations, it may yield very poor convergence rates. ICCG method has reliable good convergence rates for this problems. In this paper, the incomplete Choleski-conjugate gradient (ICCG) algorithm has been combined with FEM and MOM to compute the EM scattering problems. The convergence rates which relate with several factors have been discussed. The results show that ICCG is likely to be very promising for electrically large scattering problems.