A reconstruction method for the inverse gravimetric problem

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.

Mots clés

inverse gravimetric problem shape from moments problem Prony's system quadrature domains partial balayage of measure

Domaines

Equations aux dérivées partielles [math.AP]

Fichier principal

SMAI-JCM_2023__9__197_0.pdf (6.59 Mo)

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https://inria.hal.science/hal-04157036

Soumis le : lundi 9 octobre 2023-13:29:19

Dernière modification le : lundi 2 décembre 2024-17:42:02

Dates et versions

hal-04157036 , version 1 (10-07-2023)

hal-04157036 , version 2 (09-10-2023)

Licence

Paternité

Identifiants

HAL Id : hal-04157036 , version 2
DOI : 10.5802/smai-jcm.99

Citer

Anthony Gerber-Roth, Alexandre Munnier, Karim Ramdani. A reconstruction method for the inverse gravimetric problem. SMAI Journal of Computational Mathematics, 2023, 9, pp.197-225. ⟨10.5802/smai-jcm.99⟩. ⟨hal-04157036v2⟩

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