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20012026
most citedLocal Analysis of Inverse Problems: Hölder Stability and Iterative Reconstruction

90 citations · 503 across the 77 of their papers we have counts for

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Showing 2015 · math.APShow all

6 papers · 2 filters

math.AP2015

Uniqueness for a seismic inverse source problem modeling a subsonic rupture

Maarten V. de Hoop, Lauri Oksanen, Justin Tittelfitz

We consider an inverse problem for an inhomogeneous wave equation with discrete-in-time sources, modeling a seismic rupture. We assume that the sources occur along a path with subs…

math.AP2015★ 34 cited

Inverse boundary value problem for the Helmholtz equation: quantitative conditional Lipschitz stability estimates

Elena Beretta, Maarten V. de Hoop, Florian Faucher +1

We study the inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map at selected frequencies as the data. A conditional Lipschitz stability est…

math.AP2015★ 29 cited

Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities

Giovanni Alessandrini, Maarten V. de Hoop, Romina Gaburro +1

We consider the electrostatic inverse boundary value problem also known as electrical impedance tomography (EIT) for the case where the conductivity is a piecewise linear function…

math.AP2015★ 13 cited

On the Construction of Virtual Interior Point Source Travel Time Distances from the Hyperbolic Neumann-to-Dirichlet Map

Maarten de Hoop, Paul Kepley, Lauri Oksanen

We introduce a new algorithm to construct travel time distances between a point in the interior of a Riemannian manifold and points on the boundary of the manifold, and describe a…

math.AP2015★ 14 cited

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

Kiril Datchev, Maarten V. de Hoop

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…

math.AP2015

Reconstruction of Lame moduli and density at the boundary enabling directional elastic wavefield decomposition

Maarten V. de Hoop, Gen Nakamura, Jian Zhai

We consider the inverse boundary value problem for the system of equations describing elastic waves in isotropic media on a bounded domain in via a finite-time Lapla…