90 citations · 503 across the 77 of their papers we have counts for
9 papers · 1 filter
Optimal Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces
Vinicius Albani, Peter Elbau, Maarten V. de Hoop +1
In this paper, we prove optimal convergence rates results for regularisation methods for solving linear ill-posed operator equations in Hilbert spaces. The result generalises exist…
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…
A Discontinuous Galerkin method with a modified penalty flux for the propagation and scattering of acousto-elastic waves
Ruichao Ye, Maarten de Hoop, Christopher Petrovitch +2
We develop an approach for simulating acousto-elastic wave phenomena, including scattering from fluid-solid boundaries, where the solid is allowed to be anisotropic, with the Disco…
On the system of elastic-gravitational equations describing the oscillations of the earth
Maarten V. de Hoop, Sean Holman, Ha Pham
The linear equations of motion of a uniformly rotating, elastic and self-gravitating earth model are analyzed under minimal regularity assumptions. We present existence and uniquen…
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…
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…
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…
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…
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…