Geodesic
A reconstruction method for the inverse gravimetric problem
Gerber-Roth, Anthony1 ; Munnier, Alexandre1 ; Ramdani, Karim1
1 Université de Lorraine, CNRS, Inria, IECL, F-54000 Nancy, France
The SMAI Journal of computational mathematics, Tome 9 (2023), pp. 197-225

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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.

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

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

1 Université de Lorraine, CNRS, Inria, IECL, F-54000 Nancy, France 
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     title = {A reconstruction method for the inverse gravimetric problem},
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Gerber-Roth, Anthony; Munnier, Alexandre; Ramdani, Karim. A reconstruction method for the inverse gravimetric problem. The SMAI Journal of computational mathematics, Tome 9 (2023), pp. 197-225. doi: 10.5802/smai-jcm.99

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