A WELL-CONDITIONED WEAK COUPLING OF BOUNDARY ELEMENT AND HIGH-ORDER FINITE ELEMENT METHODS FOR TIME-HARMONIC ELECTROMAGNETIC SCATTERING BY INHOMOGENEOUS OBJECTS

Badia, Ismaïl; Caudron, Boris; Antoine, Xavier; Geuzaine, Christophe

doi:10.1137/21M1438293

Article (Scientific journals)

A WELL-CONDITIONED WEAK COUPLING OF BOUNDARY ELEMENT AND HIGH-ORDER FINITE ELEMENT METHODS FOR TIME-HARMONIC ELECTROMAGNETIC SCATTERING BY INHOMOGENEOUS OBJECTS

Badia, Ismaïl; Caudron, Boris; Antoine, Xavier et al.

2022 • In SIAM Journal on Scientific Computing

Peer Reviewed verified by ORBi

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https://hdl.handle.net/2268/267604

DOI
10.1137/21M1438293

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Keywords :

Maxwells equations; optimized domain decomposition method; high-order finite elements; boundary elements; weak coupling; time-harmonic scattering

Abstract :

[en] The aim of this paper is to propose efficient weak coupling formulations between the boundary element method and the high-order finite element method for solving time-harmonic electromagnetic scattering problems. The approach is based on the use of a non-overlapping domain decomposition method involving optimal transmission operators. The associated transmission conditions are constructed through a localization process based on complex rational Padé approximants of the nonlocal Magnetic-to-Electric operators. Numerical results are presented to validate and analyze the new approach for both homogeneous and inhomogeneous scatterers.

Disciplines :

Electrical & electronics engineering

Author, co-author :

Badia, Ismaïl ; Université de Liège - ULiège > Montefiore Institute

Caudron, Boris; Thales Defence Mission Systems France

Antoine, Xavier; Université de Lorraine

Geuzaine, Christophe ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)

Language :

English

Title :

A WELL-CONDITIONED WEAK COUPLING OF BOUNDARY ELEMENT AND HIGH-ORDER FINITE ELEMENT METHODS FOR TIME-HARMONIC ELECTROMAGNETIC SCATTERING BY INHOMOGENEOUS OBJECTS

Publication date :

2022

Journal title :

SIAM Journal on Scientific Computing

ISSN :

1064-8275

eISSN :

1095-7197

Publisher :

Society for Industrial and Applied Mathematics, United States - Pennsylvania

Peer reviewed :

Peer Reviewed verified by ORBi

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CÉCI : Consortium des Équipements de Calcul Intensif
Tier-1 supercomputer

Available on ORBi :

since 27 January 2022

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