Discrete methods in the study of an inverse problem for Laplace's equation |
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Authors: | Fasino, D Inglese, G |
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Affiliation: | A1 Dipartimento di Matematica e Informatica, University of Udine, Udine, Italy A2 Istituto di Analisi Globale e Applicazioni, CNR, Firenze, Italy |
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Abstract: | Let u be harmonic in the interior of a rectangle and satisfythe third-kind boundary condition un + yu = where 0, y 0with supports included in the bottom and in the top side of, respectively. Recovering y from a knowledge of and of thetrace of u on the bottom is a nonlinear inverse problem ofinterest in the field of nondestructive evaluation. A convergentGalerkin method for approximating y is proposed and tested innumerical experiments. |
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