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trigonometric polynomial.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Theoretical and numerical study of a free boundary problem byboundary integral methods
Michel Crouzeix, Philippe Féat, Francisco-Javier Sayas
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 35 / Issue 6 / November 2001

Published online by Cambridge University Press:

15 April 2002, pp. 1137-1158

Print publication:

November 2001
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In this paper we study a free boundary problem appearing inelectromagnetism and its numerical approximation by means ofboundary integral methods. Once the problem is written in aequivalent integro-differential form, with the arcparametrization of the boundary as unknown, we analyse it inthis new setting. Then we consider Galerkin and collocationmethods with trigonometric polynomial and spline curves asapproximate solutions.