INVERSE PROBLEM RESOLUTION VIA KOHN–VOGELIUS FORMULATION AND TOPOLOGICAL SENSITIVITY METHOD

Mohamed Abdelwahed () and Nejmeddine Chorfi
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Mohamed Abdelwahed: Department of Mathematics, College of Sciences, King Saud University, Riyadh, Saudi Arabia
Nejmeddine Chorfi: Department of Mathematics, College of Sciences, King Saud University, Riyadh, Saudi Arabia

FRACTALS (fractals), 2022, vol. 30, issue 10, 1-6

Abstract: We study in this work a geometric inverse problem using the Kohn–Vogelius formulation method. Using this technique, the problem is reformulated as an optimization problem. The resolution is then carried out by the method of topological sensitivity. A real application is finally presented to show the effectiveness of this developed approach.

Keywords: Geometric Inverse Problem; Kohn–Vogelius Technique; Topological Sensitivity Method (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:30:y:2022:i:10:n:s0218348x22402356

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DOI: 10.1142/S0218348X22402356

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