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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 2014Show all

5 papers · 1 filter

math.AP2014★ 2 cited

Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves

Elena Beretta, Maarten V. de Hoop, Elisa Francini +2

We consider the inverse problem of determining the Lamé parameters and the density of a three-dimensional elastic body from the local time-harmonic Dirichlet-to-Neumann map. We pro…

math.FA2014★ 1 cited

Generalized Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces

Roman Andreev, Peter Elbau, Maarten V. de Hoop +2

In recent years, a series of convergence rates conditions for regularization methods has been developed. Mainly, the motivations for developing novel conditions came from the desir…

math.AP2014

Stable determination of polyhedral interfaces from boundary data for the Helmholtz equation

Elena Beretta, Maarten V. de Hoop, Elisa Francini +1

We study an inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map as the data. We consider piecewise constant wavespeeds on an unknown tetrah…

math.NA2014★ 8 cited

Inverse boundary value problem for the Helmholtz equation: Multi-level approach and iterative reconstruction

Elena Beretta, Maarten V. de Hoop, Lingyun Qiu +1

We study the inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map at selected frequency as the data. We develop an explicit reconstruction o…

math.AP2014★ 2 cited

Inverse problem of electroseismic conversion. I: Inversion of Maxwell's equations with internal data

Jie Chen, Maarten de Hoop

Pride (1994, Phys. Rev. B 50 15678-96) derived the governing model of electroseismic conversion, in which Maxwell's equations are coupled with Biot's equations through an electroki…