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Article Dans Une Revue Inverse Problems Année : 2018

Inverse source problems in elastodynamics

Résumé

We are concerned with time-dependent inverse source problems in elastodynamics. The source term is supposed to be the product of a spatial function and a temporal function with compact support. We present frequency-domain and time-domain approaches to show uniqueness in determining the spatial function from wave fields on a large sphere over a finite interval. Stability estimate of the temporal function from the data of one receiver and uniqueness result using partial boundary data are proved. Our arguments rely heavily on the use of the Fourier transform, which motivated inversion schemes that can be easily implemented. A Landweber iterative algorithm for recovering the spatial function and a non-iterative inversion scheme based on the uniqueness proof for recovering the temporal function are proposed. Numerical examples are demonstrated in both two and three dimensions.
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Dates et versions

hal-01581944 , version 1 (05-09-2017)

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Gang Bao, Guanghui Hu, Yavar Kian, Tao Yin. Inverse source problems in elastodynamics. Inverse Problems, 2018, 34 (4), pp.045009. ⟨10.1088/1361-6420/aaaf7e⟩. ⟨hal-01581944⟩
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