Diagonal preconditioners for the EFIE using a wavelet basis

Canning, F.X.; Scholl, James F.

doi:10.1109/8.535382

Cited by 62 publications

(36 citation statements)

References 5 publications

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“…Let P be an N×N matrix, with the goal that the number of CG iterations required for solution of PZi=Pv (for the unknowns i) is considerably less than that required for Zi=v. As we discuss further below, this implies that the condition number of PZ must be considerably smaller than that of Z [17,18]. We have the attendant requirement that implementation of this preconditioner be efficient.…”

Section: Simple Preconditionermentioning

confidence: 99%

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Multilevel fast multipole algorithm for general targets on a half-space interface

Liu

Xie

et al. 2002

IEEE Trans. Antennas Propagat.

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-The multi-level fast multipole algorithm (MLFMA) is considered for scattering from an electrically large conducting or dielectric target resting on the interface of a dielectric half space. We focus on analysis of the half-space Green's function such that it is computed efficiently and accurately, while retaining a form that is applicable to an MLFMA analysis. Attention is also directed toward development of a simple preconditioner to accelerate convergence of the conjugategradient solver. The utility of the model is examined for several applications, including scattering from an electrically large vehicle, trees and rough dielectric interfaces in the presence of a dielectric half space background.

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Section: Simple Preconditionermentioning

confidence: 99%

“…It is well known that the EFIE condition number is a strong function of the basis-function sample density [17,18]. We consider the convergence properties of the preconditioners considered in Fig.…”

Section: Preconditionermentioning

confidence: 99%

Multilevel fast multipole algorithm for general targets on a half-space interface

Liu

Xie

et al. 2002

IEEE Trans. Antennas Propagat.

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“…We have converted the conventional TE integro-differential equation corresponding to (14) to the pure integral equation in (16) (containing no derivatives of current^ in ofder to a low a clearer comparison with the TE MFIE obtained from (12). Of course the TM electnc-fie integral equation in (17) is identical to the conventional TM electric-he d nte g ™ equation.…”

Section: Surface Integra! Equationsmentioning

confidence: 99%

“…Its: kerne\H^\k\ P -p>\) is l ess singu]ar than the ^ rf the T£ ^™%* mtegral equation (16), and it can be solved simply and straightforwardly using fo ex mpll pulse basic functions and point matching. We have also solved the EFIE in 16 fo" tie' TE scattering from a 2-D strip using pulse basis functions and point matching Reasonable ff SwTfi W^ CUr i ent USlng " f6W " 5 inc -ntsper wavelength 11 (14), (16) and (17) about A/4 of the diagonal elements. Then (18) is transformed to the set of equations…”

Section: Surface Integra! Equationsmentioning

confidence: 99%

Research in Electromagnetic Scattering

Yaghjian¹

1997

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This document constitutes a final report for our research in electromagnetic scattering during 1997. The technical research accomplishments divide conveniently into the areas of time-domain electromagnetics, high-frequency diffraction, and surfa.ee integral equations. As principal investigator, Dr. Arthur D. Yaghjian carried out the major portion of the research, and coordinated his efforts with those of T.B. Hansen and R.A. Shore of Rome Laboratory, R.A. Albanese of Brooks AFB, S

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“…Despite the simplicity of this approach there are enhancements that offer improved performance [36]. The Incomplete LU preconditioner, in turn, is another popular approach based on the approximate LU factorization of Z n and the use of those factors to perform the operation indicated in (3) [37].…”

Section: Solution Of the Mom Equationmentioning

confidence: 99%

AN OVERVIEW OF THE EVOLUTION OF METHOD OF MOMENTS TECHNIQUES IN MODERN EM SIMULATORS (Invited Paper)

Delgado¹,

García²,

Moreno³

et al. 2015

PIER

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Abstract-This paper presents an evolution of the challenges and solutions found in the application of techniques based on the Method of Moments until the present day. The original MoM presented very high computational restrictions that have motivated the development of more efficient approaches. The main features of these newer improvements are presented, as well as other technical details regarding preconditioning and parallelization techniques. Some representative examples are shown in order to assert the suitability of these approaches for the analysis of complex and realistic scenarios.

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Diagonal preconditioners for the EFIE using a wavelet basis

Cited by 62 publications

References 5 publications

Multilevel fast multipole algorithm for general targets on a half-space interface

Multilevel fast multipole algorithm for general targets on a half-space interface

Research in Electromagnetic Scattering

AN OVERVIEW OF THE EVOLUTION OF METHOD OF MOMENTS TECHNIQUES IN MODERN EM SIMULATORS (Invited Paper)

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