90 citations · 503 across the 77 of their papers we have counts for
35 papers · 1 filter
Generic Recovery of Permittivity and Permeability in Anisotropic Maxwell Systems
Antonio Cocan, Maarten V. de Hoop, Joonas Ilmavirta +2
We study the inverse problem of recovering the constitutive tensors of a homogeneous anisotropic electromagnetic medium without magnetoelectric coupling (non-chiral) from its Fresn…
Riesz-Kernel Stein Variational Gradient Descent: Renormalized Entropy and Long-Time Particle Limits
Trevor Teolis, Maarten V. de Hoop
Stein variational gradient descent (SVGD) transports interacting particles toward a target distribution through deterministic kernelized dynamics. Singular Riesz kernels are attrac…
Moving localized observations and Ces{à}ro asymptotic observability for conservative PDEs
Maarten V. de Hoop, Antti Kykkänen, Emmanuel Trélat
We develop a deterministic large-time mechanism yielding Ces{à}ro asymptotic observability inequalities from moving localized observations for conservative evolutions. On each obse…
Exact Boundary Controllability for Reduced System Associated to Extended Maxwell Systems
Maarten V. de Hoop, Ching-Lung Lin, Gen Nakamura
In the theory of viscoelasticity, an important class of models admits a representation in terms of springs and dashpots. Widely used members of this class are the Maxwell model and…
Anisotropic extended Burgers model, its relaxation tensor and properties of the associated Boltzmann viscoelastic system
Maarten de Hoop, Masato Kimura, Ching-Lung Lin +2
We provide a new method for constructing the anisotropic relaxation tensor and proving its exponential decay property for the extended Burgers model (abbreviated by EBM). The EBM i…
Weyl formulae for some singular metrics with application to acoustic modes in gas giants
Yves Colin de Verdìère, Charlotte Dietze, Maarten V. de Hoop +1
This paper is motivated by recent works on inverse problems for acoustic wave propagation in the interior of gas giant planets. In such planets, the speed of sound is isotropic and…
Stable recovery of coefficients in an inverse fault friction problem
Maarten V. de Hoop, Matti Lassas, Jinpeng Lu +1
We consider the inverse fault friction problem of determining the friction coefficient in the Tresca friction model, which can be formulated as an inverse problem for differential…
Resolvent Estimates for Viscoelastic Systems of Extended Maxwell Type and their Applications
Maarten V. de Hoop, Masato Kimura, Ching-Lung Lin +1
In the theory of viscoelasticity, an important class of models admits a representation in terms of springs and dashpots. Widely used members of this class are the Maxwell model and…
Coupling of flow, contact mechanics and friction, generating waves in a fractured porous medium
Maarten V. de Hoop, Kundan Kumar
We present a mixed dimensional model for a fractured poro-elasic medium including contact mechanics. The fracture is a lower dimensional surface embedded in a bulk poro-elastic mat…
Uniform Decaying Property of Solutions for Anisotropic Viscoelastic Systems
Maarten V. de Hoop, Ching-Lung Lin, Gen Nakamura
The paper concerns about the uniform decaying property (abbreviated by UDP) of solutions for an anisotropic viscoelastic system in the form of integrodifferential system (abbreviat…
Early-warning inverse source problem for the elasto-gravitational equations
Lorenzo Baldassari, Maarten V. de Hoop, Elisa Francini +1
Through coupled physics, we study an early-warning inverse source problem for the elasto-gravitational equations. It consists of a mixed hyperbolic-elliptic system of partial diffe…
Spherically symmetric terrestrial planets with discontinuities are spectrally rigid
Joonas Ilmavirta, Maarten V. de Hoop, Vitaly Katsnelson
We establish spectral rigidity for spherically symmetric manifolds with boundary and interior interfaces determined by discontinuities in the metric under certain conditions. Rathe…
Inverse problem for Love waves in a layered, elastic half-space
Maarten V. de Hoop, Josselin Garnier, Alexei Iantchenko +1
In this paper we study Love waves in a layered, elastic half-space. We first address the direct problem and we characterize the existence of Love waves through the dispersion relat…
Quantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem
Maarten V. de Hoop, Matti Lassas, Jinpeng Lu +1
We obtain explicit estimates on the stability of the unique continuation for a linear system of hyperbolic equations. In particular our result applies to the elasticity system and…
Local recovery of a piecewise constant anisotropic conductivity in EIT on domains with exposed corners
Maarten V. de Hoop, Takashi Furuya, Ching-Lung Lin +2
We study the local recovery of an unknown piecewise constant anisotropic conductivity in EIT (electric impedance tomography) on certain bounded Lipschitz domains in $\mathbb{R}…
Inverse problem for the Rayleigh system with spectral data
Maarten V. de Hoop, Alexei Iantchenko
We analyze an inverse problem associated with the time-harmonic Rayleigh system on a flat elastic half-space concerning the recovery of Lamé parameters in a slab beneath a traction…
Inverse problem for the Helmholtz equation with Cauchy data: reconstruction with conditional well-posedness driven iterative regularization
Giovanni Alessandrini, Maarten V. de Hoop, Florian Faucher +2
In this paper, we study the performance of Full Waveform Inversion (FWI) from time-harmonic Cauchy data via conditional well-posedness driven iterative regularization. The Cauchy d…
Semiclassical analysis of elastic surface waves
Maarten de Hoop, Alexei Iantchenko, Gen Nakamura +1
In this paper, we present a semiclassical description of surface waves or modes in an elastic medium near a boundary, in spatial dimension three. The medium is assumed to be essent…
Global acoustic daylight imaging in a stratified Earth-like model
Maarten V. de Hoop, Josselin Garnier, Knut Solna
We present an analysis of acoustic daylight imaging in an Earth-like model assuming a random distribution of noise sources spatially supported in an annulus located away from the s…
Scattering Control for the Wave Equation with Unknown Wave Speed
Peter Caday, Maarten V. de Hoop, Vitaly Katsnelson +1
Consider the acoustic wave equation with unknown, not necessarily smooth, wave speed . We propose and study an iterative control procedure that erases the history of a wave fiel…
An Exact Redatuming Procedure for the Inverse Boundary Value Problem for the Wave Equation
Maarten V. de Hoop, Paul Kepley, Lauri Oksanen
Redatuming is a data processing technique to transform measurements recorded in one acquisition geometry to an analogous data set corresponding to another acquisition geometry, for…
Uniqueness for the electrostatic inverse boundary value problem with piecewise constant anisotropic conductivities
Giovanni Alessandrini, Maarten V. de Hoop, Romina Gaburro
We discuss the inverse problem of determining the, possibly anisotropic, conductivity of a body when the so-called Neumann-to-Dirichlet map is locally give…
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…
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…