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arXiv · 1506.09014

Iterative reconstruction of the wavespeed for the wave equation with bounded frequency boundary data

Kiril Datchev·Maarten V. de Hoop
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Abstract

We study the inverse boundary value problem for the wave equation using the single-layer potential operator as the data. We assume that the data have frequency content in a bounded interval. We prove how to choose classes of nonsmooth coefficient functions so that optimization formulations of inverse wave problems satisfy the prerequisites for application of steepest descent and Newton-type iterative methods.

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Kiril Datchev, Maarten V. de Hoop. 2015-06-30. Iterative reconstruction of the wavespeed for the wave equation with bounded frequency boundary data. https://doi.org/10.1088/0266-5611%2F32%2F2%2F025008

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