Florian Faucher

Florian Faucher

Postdoctoral Researcher

Research Interests

Links: GoogleScholar; personal website; software.

Experience

Software

hawen: time-HArmonic Wave modEling and INversion using Hybridizable Discontinuous Galerkin Discretization
Visit the dedicated website, with documentation and tutorials: https://ffaucher.gitlab.io/hawen-website.
Open-source software that developed and maintain. It combines MPI and OpenMP parallelism and to solve time-harmonic forward and inverse wave problems for large-scale imaging:


Published Papers

2023

F. Faucher and O. Scherzer Quantitative inverse problem in visco-acoustic media under attenuation model uncertainty Journal of Computational Physics, 472:111685, January, 2023 BibTeX | funding | PDF )
F. Faucher and O. Scherzer Synthetic dataset for visco-acoustic imaging Data in Brief, 48:109199, 2023 BibTeX | funding | PDF )

2022

F. Faucher, C. Kirisits, M. Quellmalz, O. Scherzer and E. Setterqvist Diffraction Tomography, Fourier Reconstruction, and Full Waveform InversionIn Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging, 2022 BibTeX | funding | PDF )

2021

H. Barucq, F. Faucher, D. Fournier, L. Gizon and H. Pham Outgoing modal solutions for Galbrun's equation in helioseismology Journal of Differential Equations, 286:494–530, 2021 BibTeX | funding | PDF )
F. Faucher hawen: time-harmonic wave modeling and inversion using hybridizable discontinuous Galerkin discretization The Journal of Open Source Software, 6(57):2699, 2021 BibTeX | funding | PDF )
F. Faucher, M. V. de Hoop and O. Scherzer Reciprocity-gap misfit functional for Distributed Acoustic Sensing, combining data from passive and active sources Geophysics, 86(2):R211–R220, 2021 BibTeX | funding | PDF )

2020

H. Barucq, F. Faucher and H. Pham Outgoing solutions and radiation boundary conditions for the ideal atmospheric scalar wave equation in helioseismology Mathematical Modelling and Numerical Analysis, 54(4):1111–1138, 2020 BibTeX | funding | PDF )
F. Faucher, G. Alessandrini, H. Barucq, M. de Hoop, R. Gaburro and E. Sincich Full Reciprocity-Gap Waveform Inversion, enabling sparse-source acquisition Geophysics, 85(6):R461–R476, 2020 BibTeX | funding | PDF )
F. Faucher, G. Chavent, H. Barucq and Calandra H. A priori estimates of attraction basins for velocity model reconstruction by time-harmonic Full Waveform Inversion and Data-Space Reflectivity formulation Geophysics, 85(3):R223–R241, February, 2020 BibTeX | funding | PDF )
F. Faucher and O. Scherzer Adjoint-state method for Hybridizable Discontinuous Galerkin discretization, application to the inverse acoustic wave problem Computer Methods in Applied Mechanics and Engineering, 372:113406, 2020 BibTeX | funding | PDF )
F. Faucher, O. Scherzer and H. Barucq Eigenvector Models for Solving the Seismic Inverse Problem for the Helmholtz Equation Geophysical Journal International, 221:394–414, January, 2020 BibTeX | funding | PDF )

2019

G. Alessandrini, M. V. De Hoop, F. Faucher, R. Gaburro and E. Sincich Inverse problem for the Helmholtz equation with Cauchy data: reconstruction with conditional well-posedness driven iterative regularization ESAIM: Mathematical Modelling and Numerical Analysis, 53(3):1005–1030, 2019 BibTeX )
H. Barucq, G. Chavent and F. Faucher A priori estimates of attraction basins for nonlinear least squares, with application to Helmholtz seismic inverse problem Inverse Problems, 35(11):115004, 2019 BibTeX )

2018

H. Barucq, F. Faucher and H. Pham Localization of small obstacles from back-scattered data at limited incident angles with full-waveform inversion Journal of Computational Physics, 370:1–24, 2018 BibTeX )

2016

J. Shi, M. De Hoop, F. Faucher and H. Calandra Elastic full-waveform inversion with surface and body wavesIn SEG Technical Program Expanded Abstracts 2016. Society of Exploration Geophysicists, 2016 BibTeX )
PDF(published version; © 2016 Society for Industrial and Applied Mathematics)
E. Beretta, M. V. de Hoop, F. Faucher and O. Scherzer Inverse boundary value problem for the Helmholtz equation: quantitative conditional Lipschitz stability estimates SIAM Journal on Mathematical Analysis, 48:3962–3983, 2016 BibTeX | PDF )
PDF(published version; © 2016 Society for Industrial and Applied Mathematics)

2014

J. Shi, F. Faucher, M. V. de Hoop and H. Calandra Multi-level elastic full waveform inversion in isotropic media via quantitative Lipschitz stability estimatesIn Proceedings of the Project Review, Geo-Mathematical Imaging Group, 1:1–34, 2014 BibTeX )

Contact

Computational Science Center
Faculty of Mathematics
University of Vienna

Oskar-Morgenstern-Platz 1
1090 Wien
T: +43-1-4277-55771