Adaptive Integral Method for Higher Order Method of Moments

Oleksiy S. Kim; Peter Meincke

doi:10.1109/TAP.2008.926759

Adaptive Integral Method for Higher Order Method of Moments

Oleksiy S. Kim, Peter Meincke

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Abstract

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.

Original language	English
Journal	I E E E Transactions on Antennas and Propagation
Volume	56
Issue number	8
Pages (from-to)	2298-2305
ISSN	0018-926X
DOIs	https://doi.org/10.1109/TAP.2008.926759
Publication status	Published - 2008

Bibliographical note

Copyright: 2008 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

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AU - Meincke, Peter

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N2 - 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.

AB - 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.

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DO - 10.1109/TAP.2008.926759

M3 - Journal article

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JO - I E E E Transactions on Antennas and Propagation

JF - I E E E Transactions on Antennas and Propagation

IS - 8

ER -

Adaptive Integral Method for Higher Order Method of Moments

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