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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
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.
- 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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