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A reconstruction method for the inverse gravimetric problem
Anthony Gerber-Roth1; Alexandre Munnier1; Karim Ramdani1
1 Université de Lorraine, CNRS, Inria, IECL, F-54000 Nancy, France
The SMAI Journal of computational mathematics, Volume 9 (2023), pp. 197-225.

We propose a reconstruction method to solve the inverse gravimetric problem with constant mass density. The method is based on the computation of the harmonic moments of the unknown domain. Convergence results are proved and numerical experiments are provided to illustrate the method and show its efficiency.

Published online:
DOI: 10.5802/smai-jcm.99
Classification: 31A25, 86A22, 35R30
Mots-clés : inverse gravimetric problem, shape from moments problem, Prony’s system, quadrature domains, partial balayage of measure

Anthony Gerber-Roth 1; Alexandre Munnier 1; Karim Ramdani 1

1 Université de Lorraine, CNRS, Inria, IECL, F-54000 Nancy, France
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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     title = {A reconstruction method for the inverse gravimetric problem},
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Anthony Gerber-Roth; Alexandre Munnier; Karim Ramdani. A reconstruction method for the inverse gravimetric problem. The SMAI Journal of computational mathematics, Volume 9 (2023), pp. 197-225. doi : 10.5802/smai-jcm.99. https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.99/

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