A nonlinear boundary value problem solved by spectral methods

Abstract : We study a nonlinear boundary value problem posed in the interior or the exterior of the unit disk in R2. Using capacity operator, we transform it into a pseudo-differential problem on the unit circle. The Galerkin method together with Fourier expansion, is used to approximate our problem. We show the convergence of the fixed-point scheme and we give an accurate bound of the L2-norm of the error. Numerical results coming from a problem arising in electromagnetic casting are also presented.
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Rapport
[Research Report] RR-1252, INRIA. 1990, pp.18
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https://hal.inria.fr/inria-00075306
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Soumis le : mercredi 24 mai 2006 - 17:54:51
Dernière modification le : samedi 17 septembre 2016 - 01:06:48
Document(s) archivé(s) le : mardi 12 avril 2011 - 18:31:02

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Olivier Coulaud, Antoine Henrot. A nonlinear boundary value problem solved by spectral methods. [Research Report] RR-1252, INRIA. 1990, pp.18. 〈inria-00075306〉

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