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

Published online by Cambridge University Press:  15 April 2002

Michel Crouzeix ,
Philippe Féat  and
Francisco-Javier Sayas
Michel Crouzeix
Affiliation:
Institut de Recherche Mathématique de Rennes, UMR CNRS 6625, Université de Rennes 1, Campus de Beaulieu, Rennes, France. (Michel.Crouzeix@univ.rennes1.fr)
Philippe Féat
Affiliation:
Institut de Recherche Mathématique de Rennes, UMR CNRS 6625, Université de Rennes 1, Campus de Beaulieu, Rennes, France. (Michel.Crouzeix@univ.rennes1.fr)
Francisco-Javier Sayas
Affiliation:
Dep. Matemática Aplicada, Universidad de Zaragoza, Centro Politécnico Superior, c/ María de Luna, 350015 Zaragoza, Spain.
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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.

Keywords

Free boundarysplinetrigonometric polynomial.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 35 , Issue 6 , November 2001 , pp. 1137 - 1158
Copyright
© EDP Sciences, SMAI, 2001

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