34 citations · 80 across the 11 of their papers we have counts for
13 papers
Full cross-correlation inversion for quantitative passive imaging with time-harmonic acoustic waves
Jean Dutheil, Florian Faucher
We consider the inverse problem for the quantitative reconstruction of physical properties in the context of passive imaging, where ambient wavefields are used to infer a medium. T…
Numerical investigation of stabilization in the Hybridizable Discontinuous Galerkin method for linear anisotropic elastic equation
Ha Pham, Florian Faucher, Hélène Barucq
This work is concerned with implementing the hybridizable discontinuous Galerkin (HDG) method to solve the linear anisotropic elastic equation in the frequency domain. First-order…
Assembling algorithm for Green's tensors and absorbing boundary conditions for Galbrun's equation in radial symmetry
Ha Pham, Florian Faucher, Damien Fournier +2
Solar oscillations can be modeled by Galbrun's equation which describes Lagrangian wave displacement in a self-gravitating stratified medium. For spherically symmetric backgrounds,…
Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation
J. Antonio Lara Benitez, Takashi Furuya, Florian Faucher +3
Despite their remarkable success in approximating a wide range of operators defined by PDEs, existing neural operators (NOs) do not necessarily perform well for all physics problem…
Quantitative inverse problem in visco-acoustic media under attenuation model uncertainty
Florian Faucher, Otmar Scherzer
We consider the inverse problem of quantitative reconstruction of properties (e.g., bulk modulus, density) of visco-acoustic materials based on measurements of responding waves aft…
Diffraction Tomography, Fourier Reconstruction, and Full Waveform Inversion
Florian Faucher, Clemens Kirisits, Michael Quellmalz +2
In this paper, we study the mathematical imaging problem of diffraction tomography (DT), which is an inverse scattering technique used to find material properties of an object by i…
C2 representations of the solar background coefficients for the model S-AtmoI
Florian Faucher, Damien Fournier, Ha Pham
We construct C2 representations of the background quantities that characterize the interior of the Sun and its atmosphere starting from the data-points of the standard solar model…
Reciprocity-gap misfit functional for Distributed Acoustic Sensing, combining data from passive and active sources
Florian Faucher, Maarten V. de Hoop, Otmar Scherzer
Quantitative imaging of sub-surface Earth's properties in elastic media is performed from Distributed Acoustic Sensing data. A new misfit functional based upon the reciprocity-gap…
Adjoint-state method for Hybridizable Discontinuous Galerkin discretization, application to the inverse acoustic wave problem
Florian Faucher, Otmar Scherzer
In this paper, we perform non-linear minimization using the Hybridizable Discontinuous Galerkin method (HDG) for the discretization of the forward problem, and implement the adjoin…
Full Reciprocity-Gap Waveform Inversion in the frequency domain, enabling sparse-source acquisition
Florian Faucher, Giovanni Alessandrini, Hélène Barucq +3
The quantitative reconstruction of sub-surface Earth properties from the propagation of waves follows an iterative minimization of a misfit functional. In marine seismic exploratio…
Eigenvector Model Descriptors for Solving an Inverse Problem of Helmholtz Equation: Extended Materials
Florian Faucher, Otmar Scherzer, Hélène Barucq
We study the seismic inverse problem for the recovery of subsurface properties in acoustic media. In order to reduce the ill-posedness of the problem, the heterogeneous wave speed…
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…
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…