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.

Keywords

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

Domains

Analysis of PDEs [math.AP]

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Karim Ramdani : Connect in order to contact the contributor

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

Submitted on : Monday, July 10, 2023-9:54:07 AM

Last modification on : Tuesday, October 10, 2023-3:27:27 AM

Long-term archiving on: Wednesday, October 11, 2023-6:18:51 PM

Dates and versions

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

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

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HAL Id : hal-04157036 , version 1

Cite

Anthony Gerber-Roth, Alexandre Munnier, Karim Ramdani. A reconstruction method for the inverse gravimetric problem. 2023. ⟨hal-04157036v1⟩

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