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...
Main Authors: | , , , , , , |
---|---|
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 |
_version_ | 1818921923884613632 |
---|---|
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. |
first_indexed | 2024-12-20T01:45:22Z |
format | Article |
id | doaj.art-da6c1dceeea44c52beace781ebaa6800 |
institution | Directory Open Access Journal |
issn | 2179-1074 |
language | English |
last_indexed | 2024-12-20T01:45:22Z |
publisher | Sociedade Brasileira de Microondas e Optoeletrônica; Sociedade Brasileira de Eletromagnetismo |
record_format | Article |
series | Journal of Microwaves, Optoelectronics and Electromagnetic Applications |
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 |
work_keys_str_mv | AT lkrahenbuhl numericaltreatmentofroundedandsharpcornersinthemodelingof2delectrostaticfields AT fburet numericaltreatmentofroundedandsharpcornersinthemodelingof2delectrostaticfields AT rperrussel numericaltreatmentofroundedandsharpcornersinthemodelingof2delectrostaticfields AT dvoyer numericaltreatmentofroundedandsharpcornersinthemodelingof2delectrostaticfields AT pdular numericaltreatmentofroundedandsharpcornersinthemodelingof2delectrostaticfields AT vperon numericaltreatmentofroundedandsharpcornersinthemodelingof2delectrostaticfields AT cpoignard numericaltreatmentofroundedandsharpcornersinthemodelingof2delectrostaticfields |