Numerical treatment of rounded and sharp corners in the modeling of 2D electrostatic fields

This work deals with numerical techniques to compute electrostatic fields in devices with rounded corners in 2D situations. The approach leads to the solution of two problems: one on the device where rounded corners are replaced by sharp corners and the other on an unbounded domain representing the...

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Main Authors: L. Krähenbühl, F. Buret, R. Perrussel, D. Voyer, P. Dular, V. Péron, C. Poignard
Format: Article
Language:English
Published: Sociedade Brasileira de Microondas e Optoeletrônica; Sociedade Brasileira de Eletromagnetismo
Series:Journal of Microwaves, Optoelectronics and Electromagnetic Applications
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S2179-10742011000100008&lng=en&tlng=en
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author L. Krähenbühl
F. Buret
R. Perrussel
D. Voyer
P. Dular
V. Péron
C. Poignard
author_facet L. Krähenbühl
F. Buret
R. Perrussel
D. Voyer
P. Dular
V. Péron
C. Poignard
author_sort L. Krähenbühl
collection DOAJ
description This work deals with numerical techniques to compute electrostatic fields in devices with rounded corners in 2D situations. The approach leads to the solution of two problems: one on the device where rounded corners are replaced by sharp corners and the other on an unbounded domain representing the shape of the rounded corner after an appropriate rescaling. Both problems are solved using different techniques and numerical results are provided to assess the efficiency and the accuracy of the techniques.
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publisher Sociedade Brasileira de Microondas e Optoeletrônica; Sociedade Brasileira de Eletromagnetismo
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spelling doaj.art-da6c1dceeea44c52beace781ebaa68002022-12-21T19:57:47ZengSociedade Brasileira de Microondas e Optoeletrônica; Sociedade Brasileira de EletromagnetismoJournal of Microwaves, Optoelectronics and Electromagnetic Applications2179-1074101668110.1590/S2179-10742011000100008S2179-10742011000100008Numerical treatment of rounded and sharp corners in the modeling of 2D electrostatic fieldsL. Krähenbühl0F. Buret1R. Perrussel2D. Voyer3P. Dular4V. Péron5C. Poignard6Université de LyonUniversité de LyonUniversité de LyonUniversité de LyonUniversité de LiegeInstitut de Mathématiques de BordeauxInstitut de Mathématiques de BordeauxThis work deals with numerical techniques to compute electrostatic fields in devices with rounded corners in 2D situations. The approach leads to the solution of two problems: one on the device where rounded corners are replaced by sharp corners and the other on an unbounded domain representing the shape of the rounded corner after an appropriate rescaling. Both problems are solved using different techniques and numerical results are provided to assess the efficiency and the accuracy of the techniques.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S2179-10742011000100008&lng=en&tlng=enFinite element methodgeometric singularityasymptotic expansionrounded corner
spellingShingle L. Krähenbühl
F. Buret
R. Perrussel
D. Voyer
P. Dular
V. Péron
C. Poignard
Numerical treatment of rounded and sharp corners in the modeling of 2D electrostatic fields
Journal of Microwaves, Optoelectronics and Electromagnetic Applications
Finite element method
geometric singularity
asymptotic expansion
rounded corner
title Numerical treatment of rounded and sharp corners in the modeling of 2D electrostatic fields
title_full Numerical treatment of rounded and sharp corners in the modeling of 2D electrostatic fields
title_fullStr Numerical treatment of rounded and sharp corners in the modeling of 2D electrostatic fields
title_full_unstemmed Numerical treatment of rounded and sharp corners in the modeling of 2D electrostatic fields
title_short Numerical treatment of rounded and sharp corners in the modeling of 2D electrostatic fields
title_sort numerical treatment of rounded and sharp corners in the modeling of 2d electrostatic fields
topic Finite element method
geometric singularity
asymptotic expansion
rounded corner
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S2179-10742011000100008&lng=en&tlng=en
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