Sub-domain methods for collaborative electromagnetic computations

Soudais, P.; Barka, André

doi:10.1016/j.crhy.2006.03.005

Cited by 8 publications

(3 citation statements)

References 9 publications

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“…However, the number of spectral functions to be taken into account to reach convergence is not easily appreciable. Our experience gained over several years with the problems of diffractions of air intakes [5,[13][14][15] and more recently for antenna placement on structures, has shown than an interface for which all the points are located at least 0.25λ away from geometrical discontinuities, leads to a good convergence by limiting the truncation of the base to the propagating modes only. If the distance is lower than 0.25λ, we add to the N p propagating modes, 0.2N p evanescent modes sorted by increasing cut-off frequency.…”

Section: Discussion On the Sbf Field Expansion On The Interfacesmentioning

confidence: 99%

Implementation of spectral basis functions in BEM/FEM/GSM Domain Decomposition Methods devoted to scattering and radiation applications

Barka

Picard²

2008

Computer Physics Communications

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Section: Discussion On the Sbf Field Expansion On The Interfacesmentioning

confidence: 99%

Implementation of spectral basis functions in BEM/FEM/GSM Domain Decomposition Methods devoted to scattering and radiation applications

Barka

Picard²

2008

Computer Physics Communications

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“…Actually, Després's method can be restated as a procedure based on the expression of the matching conditions in terms of the scattering operator instead of the standard impedance or admittance ones with the advantage to be then always well-defined. In this respect, Barka, Soudais and Volpert [8] and Barka and Soudais [20] have used this way to express the matching conditions to develop a general substructuring procedure. However, it seems that it only applies if the equivalent currents can be expanded in waveguide modes.…”

Section: Domain Decomposition Methods and Their Use In Radiation And ...mentioning

confidence: 99%

Some applications of substructuring and domain decomposition techniques to radiation and scattering of time-harmonic electromagnetic waves

Balin

Bendali

Fares

et al. 2006

Comptes Rendus. Physique

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After a quick review of the domain decomposition methods, and, more particularly on their application to large size problems relative to radiation and scattering of time-harmonic waves, we describe two contributions of the authors in this context. The two contributions are related to the scattering of a time-harmonic electromagnetic wave by a large perfectly conducting structure including a deep cavity. The first contribution is a substructuring technique. It is used to increase the speed of the convergence of the iterative algorithm in a Multi-Level Fast Multipol Method (MLFMM) solution. Numerical experiments illustrate the effectiveness of the approach since the number of iterations of the underlying Krylov iterative method remains almost constant while increasing a characteristic length in the problem. The second contribution proposes an adaptation of the overlapping domain decomposition techniques for a boundary integral formulation. It is used here to perform a hybridization of an exact formulation, used at the opening of the cavity, with an asymptotic high-frequency method employed for the rest of the exterior boundary of the structure. Numerical results demonstrate the reliability and the efficiency of the method.

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“…We find a discussion and a full description of some hybridization and factorization techniques in [23,24]. These techniques have been first introduced in [25] and further reported in [26].…”

Section: Hybridization/factorizationmentioning

confidence: 99%

State of the art in computational methods for the prediction of radar cross-sections and antenna–platform interactions

Molinet

Stève

Adam

2005

Comptes Rendus. Physique

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In this paper, a review is presented on computational methods for the prediction of Radar Cross-Sections (RCS) and antennaplatform interactions. In a first part the techniques for RCS computations are considered. A list of frequency and time domain solvers for the Maxwell's equations are given with their performances in memory requirements and run-time. Boundary Elements Methods, Finite Difference Time Domain Methods, Finite Elements-Finite Volume Methods, Hybridization and Factorization Techniques, are reviewed. The exceptional performances of the Fast Multipole Method compared to those of the classical Moment Method are especially highlighted. We have also made mention of some recent research work on numerical techniques conducted in France. Asymptotic methods are mainly discussed in the second part of this article devoted to antenna-platform interactions. After a brief description of the historical evolution of Geometrical Theory of Diffraction tools for antenna analysis and design, the advantages and drawbacks of different techniques for generating the geometry and searching the rays are discussed. Then a list of unsolved problems and lines of future research on asymptotic techniques are presented together with an example of a computer code founded on the Uniform Theory of Diffraction. In the conclusion some new research topics such as higher order finite elements defined on surfaces represented by B-Splines and macro-basis functions containing information on the phase or derived from analytical or asymptotic solutions are briefly introduced. To cite this article: F.

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Sub-domain methods for collaborative electromagnetic computations

Cited by 8 publications

References 9 publications

Implementation of spectral basis functions in BEM/FEM/GSM Domain Decomposition Methods devoted to scattering and radiation applications

Implementation of spectral basis functions in BEM/FEM/GSM Domain Decomposition Methods devoted to scattering and radiation applications

Some applications of substructuring and domain decomposition techniques to radiation and scattering of time-harmonic electromagnetic waves

State of the art in computational methods for the prediction of radar cross-sections and antenna–platform interactions

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