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An optimum PML for scattering problems in the time domain*

Published online by Cambridge University Press:  06 November 2013

Axel Modave ,
Abelin Kameni ,
Jonathan Lambrechts ,
Eric Delhez ,
Lionel Pichon  and
Christophe Geuzaine
Axel Modave*
Affiliation:
Department of Electrical Engineering and Computer Science (Institut Montéfiore), Université de Liège, Grande Traverse 10, 4000 Liège, Belgium
Abelin Kameni
Affiliation:
Laboratoire de Génie Électrique de Paris, UMR 8507 CNRS, Supelec, Universities Paris VI and Paris XI, 11 rue Joliot Curie, 91192 Gif-sur-Yvette, France
Jonathan Lambrechts
Affiliation:
Institute of Mechanics, Materials and Civil Engineering (iMMC), Université Catholique de Louvain-la-Neuve, avenue George Lemaître 4-6, 1348 Louvain-la-Neuve, Belgium
Eric Delhez
Affiliation:
Department of Aerospace and Mechanical Engineering, Université de Liège, Grande Traverse 12, 4000 Liège, Belgium
Lionel Pichon
Affiliation:
Laboratoire de Génie Électrique de Paris, UMR 8507 CNRS, Supelec, Universities Paris VI and Paris XI, 11 rue Joliot Curie, 91192 Gif-sur-Yvette, France
Christophe Geuzaine
Affiliation:
Department of Electrical Engineering and Computer Science (Institut Montéfiore), Université de Liège, Grande Traverse 10, 4000 Liège, Belgium
*
ae-mail: a.modave@ulg.ac.be
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Abstract

In electromagnetic compatibility, scattering problems are defined in an infinite spatial domain, while numerical techniques such as finite element methods require a computational domain that is bounded. The perfectly matched layer (PML) is widely used to simulate the truncation of the computational domain. However, its performance depends critically on an absorption function. This function is generally tuned by using case-dependent optimization procedures. In this paper, we will present some efficient functions that overcome any tuning. They will be compared using a realistic scattering benchmark solved with the Discontinuous Galerkin method.

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 64 , Issue 2 , November 2013 , 24502
Copyright
© EDP Sciences, 2013

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Footnotes

*

Contribution to the Topical Issue “Numelec 2012”, Edited by Adel Razek.

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