Theoretical and numerical study of a free boundary problem by boundary integral methods

Michel Crouzeix[1]; Philippe Féat; Francisco-Javier Sayas[2]

  • [1] Université de Rennes 1 IRMAR, UMR 6625 Campus de Beaulieu 35042 Rennes Cedex FRANCE
  • [2] Dep. Matemática Aplicada, Universidad de Zaragoza, Centro Politécnico Superior, c/ María de Luna, 3–50015 Zaragoza, Spain.

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2001)

  • Volume: 35, Issue: 6, page 1137-1158
  • ISSN: 0764-583X

Abstract

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In this paper we study a free boundary problem appearing in electromagnetism and its numerical approximation by means of boundary integral methods. Once the problem is written in a equivalent integro-differential form, with the arc parametrization of the boundary as unknown, we analyse it in this new setting. Then we consider Galerkin and collocation methods with trigonometric polynomial and spline curves as approximate solutions.

How to cite

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Crouzeix, Michel, Féat, Philippe, and Sayas, Francisco-Javier. "Theoretical and numerical study of a free boundary problem by boundary integral methods." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 35.6 (2001): 1137-1158. <http://eudml.org/doc/194089>.

@article{Crouzeix2001,
abstract = {In this paper we study a free boundary problem appearing in electromagnetism and its numerical approximation by means of boundary integral methods. Once the problem is written in a equivalent integro-differential form, with the arc parametrization of the boundary as unknown, we analyse it in this new setting. Then we consider Galerkin and collocation methods with trigonometric polynomial and spline curves as approximate solutions.},
affiliation = {Université de Rennes 1 IRMAR, UMR 6625 Campus de Beaulieu 35042 Rennes Cedex FRANCE; Dep. Matemática Aplicada, Universidad de Zaragoza, Centro Politécnico Superior, c/ María de Luna, 3–50015 Zaragoza, Spain.},
author = {Crouzeix, Michel, Féat, Philippe, Sayas, Francisco-Javier},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {free boundary; spline; trigonometric polynomial; electromagnetic shaping; boundary integral methods; collocation methods with trigonometric polynomial and spline curves},
language = {eng},
number = {6},
pages = {1137-1158},
publisher = {EDP-Sciences},
title = {Theoretical and numerical study of a free boundary problem by boundary integral methods},
url = {http://eudml.org/doc/194089},
volume = {35},
year = {2001},
}

TY - JOUR
AU - Crouzeix, Michel
AU - Féat, Philippe
AU - Sayas, Francisco-Javier
TI - Theoretical and numerical study of a free boundary problem by boundary integral methods
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2001
PB - EDP-Sciences
VL - 35
IS - 6
SP - 1137
EP - 1158
AB - In this paper we study a free boundary problem appearing in electromagnetism and its numerical approximation by means of boundary integral methods. Once the problem is written in a equivalent integro-differential form, with the arc parametrization of the boundary as unknown, we analyse it in this new setting. Then we consider Galerkin and collocation methods with trigonometric polynomial and spline curves as approximate solutions.
LA - eng
KW - free boundary; spline; trigonometric polynomial; electromagnetic shaping; boundary integral methods; collocation methods with trigonometric polynomial and spline curves
UR - http://eudml.org/doc/194089
ER -

References

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