Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell's equations

Journal Article · Mon Dec 15 00:00:00 EST 2014 · Journal of Computational Physics

DOI:https://doi.org/10.1016/J.JCP.2014.09.011· OSTI ID:22382153

El Bouajaji, M., E-mail: [e-mail] ^[1]; Inria Nancy Grand-Est/IECL – ALICE ^[2]; Antoine, X., E-mail: [e-mail] ^[1]; Inria Nancy Grand-Est/IECL – ALICE ^[2]; Geuzaine, C., E-mail: [e-mail] ^[3]

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1. Université de Lorraine, Institut Elie Cartan de Lorraine, UMR 7502, Vandoeuvre-lès-Nancy, F-54506 (France)
2. (France)
3. Université de Liège, Institut Montefiore B28, Grande Traverse 10, B-4000 Liège (Belgium)

The aim of this paper is to propose new local and accurate approximate magnetic-to-electric surface boundary operators for the three-dimensional time-harmonic Maxwell's equations. After their construction where their accuracy is improved through a regularization process, a localization of these operators and a full finite element approximation is introduced. Next, their numerical efficiency and accuracy is investigated in detail for different scatterers when these operators are used in the extreme situation of On-Surface Radiation Conditions methods.

• OSTI ID: 22382153
• Journal Information: Journal of Computational Physics, Vol. 279; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCURACY
APPROXIMATIONS
EFFICIENCY
FINITE ELEMENT METHOD
INTEGRAL EQUATIONS
MATHEMATICAL OPERATORS
MAXWELL EQUATIONS
SCATTERING
SURFACES
THREE-DIMENSIONAL CALCULATIONS