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Reports (Research Report) Year : 1990

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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Dates and versions

inria-00075306 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00075306 , version 1

Cite

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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