Adaptive Integral Method for Higher Order Method of Moments

The adaptive integral method (AIM) is combined with the higher order method of moments (MoM) to solve integral equations. The technique takes advantage of the low computational complexity and memory requirements of the AIM and the reduced number of unknowns and higher order convergence of higher order basis functions. The classical AIM is appropriately modified to allow larger discretization elements and, consequently, higher basis function expansion orders. Numerical examples based on the higher order hierarchical Legendre basis functions show the advantages of the proposed technique over the classical AIM based on low-order basis functions in terms of memory and computational time.

[1]  Jian-Ming Jin,et al.  A higher order multilevel fast multipole algorithm for scattering from mixed conducting/dielectric bodies , 2003 .

[2]  Erik Jorgensen,et al.  Solution of volume-surface integral equations using higher-order hierarchical Legendre basis functions , 2007 .

[3]  Jiming Song,et al.  Fast Illinois solver code (FISC) , 1998 .

[4]  Jianming Jin,et al.  A higher order parallelized multilevel fast multipole algorithm for 3-D scattering , 2001 .

[5]  D. Wilton,et al.  A tetrahedral modeling method for electromagnetic scattering by arbitrarily shaped inhomogeneous dielectric bodies , 1984 .

[6]  K. Sertel,et al.  Multilevel fast multipole method solution of volume integral equations using parametric geometry modeling , 2001, IEEE Transactions on Antennas and Propagation.

[7]  Peter Meincke,et al.  Higher order hierarchical discretization scheme for surface integral equations for layered media , 2004, IEEE Transactions on Geoscience and Remote Sensing.

[8]  M. Bleszynski,et al.  AIM: Adaptive integral method for solving large‐scale electromagnetic scattering and radiation problems , 1996 .

[9]  Gang Liu,et al.  A fast, high‐order quadrature sampled pre‐corrected fast‐Fourier transform for electromagnetic scattering , 2003 .

[10]  Qing Huo Liu,et al.  A volume adaptive integral method (VAIM) for 3-D inhomogeneous objects , 2002 .

[11]  D. Wilton,et al.  Electromagnetic scattering by surfaces of arbitrary shape , 1980 .

[12]  E. Jorgensen,et al.  Higher order hierarchical Legendre basis functions for electromagnetic modeling , 2004, IEEE Transactions on Antennas and Propagation.

[13]  Tat Soon Yeo,et al.  A fast volume-surface integral equation solver for scattering from composite conducting-dielectric objects , 2005, IEEE Transactions on Antennas and Propagation.

[14]  B. Kolundžija,et al.  Efficient iterative solution of surface integral equations based on maximally orthogonalized higher order basis functions , 2005, 2005 IEEE Antennas and Propagation Society International Symposium.

[15]  Jacob K. White,et al.  A precorrected-FFT method for electrostatic analysis of complicated 3-D structures , 1997, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[16]  Erik Jorgensen,et al.  Method of moments solution of volume integral equations using higher‐order hierarchical Legendre basis functions , 2004 .

[17]  Jian-Ming Jin,et al.  Electromagnetic scattering by a perfectly conducting patch array on a dielectric slab , 1990 .

[18]  Jian-Ming Jin,et al.  Adaptive integral solution of combined field integral equation , 1998 .

[20]  Jiming Song,et al.  Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects , 1997 .