Adaptive Integral Method for Higher-Order Hierarchical Method of Moments

Oleksiy S. Kim; Peter Meincke

doi:10.1109/EUCAP.2006.4584498

Adaptive Integral Method for Higher-Order Hierarchical Method of Moments

Oleksiy S. Kim, Peter Meincke

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Abstract

The Adaptive Integral Method (AIM) is applied to solve the volume integral equation in conjunction with the higher-order Method of Moments (MoM). The classical AIM is modified for larger discretization cells to take advantage of higher-order MoM. The technique combines the low computational complexity and memory requirements of AIM with the reduced number of unknowns and higher-order convergence of higher-order hierarchical Legendre basis functions. Numerical examples given show the advantages of the proposed technique over AIM based on low-order basis functions in terms of memory and computational time. Several preconditioning techniques applied to AIM for volume integral equations are considered.

Original language	English
Title of host publication	Proceedings of the European Conference on Antennas and Propagation EuCAP 2006
Publisher	IEEE
Publication date	2006
Pages	349431
ISBN (Print)	978-92-9092-937-6
DOIs	https://doi.org/10.1109/EUCAP.2006.4584498
Publication status	Published - 2006
Event	1st European Conference on Antennas and Propagation - Nice, France Duration: 6 Nov 2006 → 10 Nov 2006 Conference number: 1

Conference

Conference	1st European Conference on Antennas and Propagation
Number	1
Country/Territory	France
City	Nice
Period	06/11/2006 → 10/11/2006

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Copyright: 2006 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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title = "Adaptive Integral Method for Higher-Order Hierarchical Method of Moments",

abstract = "The Adaptive Integral Method (AIM) is applied to solve the volume integral equation in conjunction with the higher-order Method of Moments (MoM). The classical AIM is modified for larger discretization cells to take advantage of higher-order MoM. The technique combines the low computational complexity and memory requirements of AIM with the reduced number of unknowns and higher-order convergence of higher-order hierarchical Legendre basis functions. Numerical examples given show the advantages of the proposed technique over AIM based on low-order basis functions in terms of memory and computational time. Several preconditioning techniques applied to AIM for volume integral equations are considered.",

author = "Kim, {Oleksiy S.} and Peter Meincke",

note = "Copyright: 2006 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; 1st European Conference on Antennas and Propagation, EuCAP 2006 ; Conference date: 06-11-2006 Through 10-11-2006",

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AU - Meincke, Peter

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N2 - The Adaptive Integral Method (AIM) is applied to solve the volume integral equation in conjunction with the higher-order Method of Moments (MoM). The classical AIM is modified for larger discretization cells to take advantage of higher-order MoM. The technique combines the low computational complexity and memory requirements of AIM with the reduced number of unknowns and higher-order convergence of higher-order hierarchical Legendre basis functions. Numerical examples given show the advantages of the proposed technique over AIM based on low-order basis functions in terms of memory and computational time. Several preconditioning techniques applied to AIM for volume integral equations are considered.

AB - The Adaptive Integral Method (AIM) is applied to solve the volume integral equation in conjunction with the higher-order Method of Moments (MoM). The classical AIM is modified for larger discretization cells to take advantage of higher-order MoM. The technique combines the low computational complexity and memory requirements of AIM with the reduced number of unknowns and higher-order convergence of higher-order hierarchical Legendre basis functions. Numerical examples given show the advantages of the proposed technique over AIM based on low-order basis functions in terms of memory and computational time. Several preconditioning techniques applied to AIM for volume integral equations are considered.

U2 - 10.1109/EUCAP.2006.4584498

DO - 10.1109/EUCAP.2006.4584498

M3 - Article in proceedings

SN - 978-92-9092-937-6

SP - 349431

BT - Proceedings of the European Conference on Antennas and Propagation EuCAP 2006

PB - IEEE

T2 - 1st European Conference on Antennas and Propagation

Y2 - 6 November 2006 through 10 November 2006

ER -

Adaptive Integral Method for Higher-Order Hierarchical Method of Moments

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