4.6 Article

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

期刊

SIAM JOURNAL ON SCIENTIFIC COMPUTING
卷 44, 期 3, 页码 B640-B667

出版社

SIAM PUBLICATIONS
DOI: 10.1137/21M1438293

关键词

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

资金

  1. Thales Defence Mission Systems (DMS) through CIFRE [2015/0197, 2018/1609]
  2. ARC grant for Con-certed Research Actions (ARC WAVES) [ARC WAVES 15/19-03]
  3. ARC grant for Concerted Research Actions - Wallonia-Brussels Federation of Belgium [ARC WAVES 15/19-03]
  4. Fonds de la Recherche Scientifique de Belgique (F.R.S.-FNRS) [2.5020.11]
  5. Walloon Region

向作者/读者索取更多资源

This paper proposes 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 a nonoverlapping domain decomposition method involving optimal transmission operators, constructing transmission conditions through a localization process based on complex rational Pade' approximants of the nonlocal magnetic-to-electric operators.
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 nonoverlapping domain decomposition method involving optimal transmission operators. The associated transmission condi-tions are constructed through a localization process based on complex rational Pade'\ 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.

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