Iterative reconstruction of the wavespeed for the wave equation with bounded frequency boundary data
Analysis of PDEs
2017-05-12 v1
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.
Keywords
Cite
@article{arxiv.1506.09014,
title = {Iterative reconstruction of the wavespeed for the wave equation with bounded frequency boundary data},
author = {Kiril Datchev and Maarten V. de Hoop},
journal= {arXiv preprint arXiv:1506.09014},
year = {2017}
}
Comments
20 pages, 1 figure