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Parameter Identification for Laplace Equation and Approximation in Hardy Classes

Abstract : We consider the inverse problem of identifying a Robin coefficient on some part of the boundary of a smooth 2D domain from overdetermined data available on the other part of the boundary, for Laplace equation in the domain. Using tools from complex analysis and analytic functions theory, we provide a constructive and convergent identification scheme for this inverse problem, together with numerical experiments.
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https://hal.inria.fr/inria-00072292
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Submitted on : Tuesday, May 23, 2006 - 8:19:40 PM
Last modification on : Friday, February 4, 2022 - 3:16:26 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:02:28 PM

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  • HAL Id : inria-00072292, version 1

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S. Chaabane, M. Jaoua, Juliette Leblond. Parameter Identification for Laplace Equation and Approximation in Hardy Classes. RR-4295, INRIA. 2001. ⟨inria-00072292⟩

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