Florian Faucher
Project-team Makutu, Inria
Bordeaux, Université de Pau
et des Pays de l'Adour.
florian.faucher [at] inria.fr

  0000-0003-4958-7511
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       C.V. pdf

    Research interest

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I am a researcher in applied mathematics in the Inria project-team Makutu, at the University of Pau et des Pays de l'Adour. My research is centered on inverse wave problems for imaging, where the objective is to recover the physical properties of a medium from the observation of wave propagation. My research has an emphasis on time-harmonic wave equations, seismic imaging, and helioseismology. I develop and maintain the dedicated open-source parallel software hawen used for large-scale applications.

  Gitlab project hawen
  hawen website

    Open-source Software Hawen

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hawen: time-HArmonic Wave modEling and INversion using Hybridizable Discontinuous Galerkin Discretization Open-source software that combines mpi and OpenMP parallelism to solve time-harmonic forward and inverse wave problems.
• Website, with documentation and tutorials: https://ffaucher.gitlab.io/hawen-website.
• Source code: https://gitlab.com/ffaucher/hawen.
• Reference: F. Faucher, hawen: time-harmonic wave modeling and inversion using hybridizable discontinuous Galerkin discretization , Journal of Open Source Software, 6 (57), 2021.

    Applications

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Large-scale modeling

Inverse wave problems

Helioseismology

    List of publications

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Preprints

• J. A. Lara Benitez, T. Furuya, F. Faucher, X. Tricoche and M. V. de Hoop. Fine-tuning Neural-Operator architectures for training and generalization, arXiv preprint 2301.11509, pp. 1--63.
• H. Barucq, F. Faucher, D. Fournier, L. Gizon and H. Pham. Efficient computation of modal Green's kernels for vectorial equations in helioseismology under spherical symmetry, [Research Report] RR-9433, Inria, pp. 1--87, 2021.
• F. Faucher, D. Fournier and H. Pham. C2 representations of the solar background coefficients for the model S-AtmoI, arXiv preprint 2009.01587.

Papers

1. F. Faucher and O. Scherzer. Synthetic dataset for visco-acoustic imaging , Data in Brief, 48 (1), Elsevier, 2023.
2. F. Faucher, C. Kirisits, M. Quellmalz, O. Scherzer, E. Setterqvist. Diffraction Tomography, Fourier Reconstruction, and Full Waveform Inversion , in:   Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging, Springer International Publishing, 2023 (preprint version).
3. F. Faucher and O. Scherzer. Quantitative inverse problem in visco-acoustic media under attenuation model uncertainty , Journal of Computational Physics, 470 (1), 2022.
4. 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, 2021.
   Remark: 118 pages extended research report.
5. F. Faucher. hawen: time-harmonic wave modeling and inversion using hybridizable discontinuous Galerkin discretization , Journal of Open Source Software, 6 (57), 2021.
6. F. Faucher, M. V. de Hoop and O. Scherzer. Reciprocity-gap misfit functional for Distributed Acoustic Sensing, combining data from active and passive sources , Geophysics, 86 (2), 2020.
7. 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 (2), 2020.
8. H. Barucq, F. Faucher, D. Fournier, L. Gizon and H. Pham. Efficient and accurate algorithm for the full modal Green's kernel of the scalar wave equation in helioseismology, SIAM Journal on Applied Mathematics, 80 (1), pp. 2657–2683, 2020.
   Remark: 84 pages extended research report.
9. F. Faucher, G. Alessandrini, H. Barucq, M. V. de Hoop, R. Gaburro and E. Sincich. Full Reciprocity-Gap Waveform Inversion, enabling sparse-source acquisition, Geophysics, 85 (6), 2020. (preprint version).
10. F. Faucher, G. Chavent, H. Barucq and H. Calandra. A priori estimates of attraction basins for velocity model reconstruction by time-harmonic Full Waveform Inversion and Data Space Reflectivity formulation, Geophysics, 2020, 85 (3), R223-R241.
    Remark: 55 pages extended research report.
11. H. Barucq, F. Faucher and H. Pham. Outgoing solutions and radiation boundary conditions for the ideal atmospheric scalar wave equation in helioseismology. ESAIM: M2AN, Mathematical Modelling and Numerical Analysis, 2020, 54 (4), p.1111--1138.
    Remark: 130 pages extended research report.
12. F. Faucher, O. Scherzer and H. Barucq. Eigenvector models for solving the seismic inverse problem for the Helmholtz equation, Geophysical Journal International, 2020, 221 (1), p.394--414.
    Remark: 47 pages extended Arxiv preprint arXiv:1903.08991.
13. 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, 2019, 35 (11), 115004.
14. 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: M2AN, Mathematical Modelling and Numerical Analysis, 2019, 53, pp. 1005–1030.
15. 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, 2018, 370, pp.1-24.
    Remark: 78 pages extended research report.
16. F. Faucher Contributions to Seismic Full Waveform Inversion for Time-Harmonic Wave Equations: Stability Estimates, Convergence Analysis, Numerical Experiments involving Large Scale Optimization Algorithms, Doctoral thesis, Inria Bordeaux Sud-Ouest, Université de Pau et des Pays de l’Adour, 400 pages, 2017.
17. 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, 2016, Society for Industrial and Applied Mathematics, 48 (6), pp. 3962--3983.
18. J. Shi, M. V. de Hoop, F. Faucher and H. Calandra. Elastic full-waveform inversion with surface and body waves, SEG Technical Program Expanded Abstracts, 2016, SEG International Exposition and 86th Annual Meeting, pp. 1120--1124.

    List of talks

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Future participation

• Workshop Rich and Nonlinear Tomography - a multidisciplinary approach. Isaac Newton Institute for Mathematical Sciences, Cambridge, England, June 2023.
• Applied Inverse Problems Conference (AIP), Göttingen, Germany, September 2023.
• Plenary speaker in conference Inverse problems: Modeling and Simulation (IPMS), Malta, May 2024.

2022

1. Seismic Imaging using Full Reciprocity-gap Waveform Inversion. The 8th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS), Oslo, Norway, June 2022.
2. Computational helioseismology: studying wave propagation in the solar interior. Meeting CNES -- INRIA Bordeaux, INRIA Bordeaux, France, May 2022.
3. Performance of large-scale frequency-domain wave modeling using Hybridizable Discontinuous Galerkin discretiation and Mumps. MUMPS Consortium P2P Meeting, Université de Pau et des Pays de l’Adour, France, May 2022.
4. Introductions to Quantitative inverse wave problems & Helioseismology. Assemblée du Laboratoire de Mathématiques et de leurs Applications de Pau, Université de Pau et des Pays de l’Adour, France, March 2022.

2021

5. Efficient computation of modal Green's kernels with application to helioseismology. AGU Fall Meeting, December 2021.
6. Présentation de l'équipe Inria Makutu et applications de problèmes inverses. Journées Calcul & Simulation en Nouvelle-Aquitaine, Arcachon, December 2021.
7. Seismic imaging combining active and passive sources using distributed acoustic sensing. EGU Online General Assembly 2021, April 2021.
8. Quantitative seismic imaging using recent sensing technology with Full Reciproity-gap Waveform Inversion. Mathematics & Statistics MACSI Online Seminar, University of Limerick, March 2021.
9. Full waveform inversions in helioseismology. online ANTS Workshop on Helioseismology, March 2021.
10. Introduction to software hawen for time-harmonic modeling and inversion, towards global-Sun simulations. online ANTS Workshop on Helioseismology, March 2021.
11. Quantitative imaging with arbitrary sources and attenuating media. Tomography Seminar, University of Vienna, Austria, January 2021.

2020

12. Elastic reciprocity-gap seismic inversion from Distributed Acoustic Sensing using passive and active sources. GMIG Project Review Workshop 2020, online, September 2020.
13. Reconstruction of elastic media with a reciprocity-gap misfit functional, enabling arbitrary source position. SFB Fourth Member Workshop, online, September 2020.
14. Eigenvector Model Descriptors for the Seismic Inverse Problem. EGU Online General Assembly 2020, May 2020.

2019

15. Fast and accurate computation of Green's functions for the scalar wave equation in helioseismology. ANTS Workshop on Helioseismology, Bordeaux, France, December 2019.
16. Reciprocity-based inversion enabling sparse acquisitions. ANTS Workshop on Helioseismology, Bordeaux, France, December 2019.
17. Quantitative seismic imaging using waveform inversion Tomography Seminar, University of Vienna, Austria, October 2019.
18. Seismic reconstruction from dual-sensors data using FWI with arbitrary computational sources location. Applied Inverse Problems Conference (AIP), Grenoble, France, July 2019.
19. Seismic inverse problem using multi-components data. International Congress on Industrial and Applied Mathematics (ICIAM), Valencia, Spain, July 2019.
20. Quantitative seismic imaging using reciprocity waveform inversion with arbitrary probing sources. Seminar in numerical analysis, University of Basel, Switzerland, May 2019.
21. Perspectives of seismic imaging using FWI with reciprocity misfit functional. Journées Ondes Sud-Ouest (JOSO), CEA-Cesta, France, March 2019.

2018

22. Convergence and stability of quantitative inverse problems for applications to seismic FWI. Workshop Inverse Problems: Theoretical and Numerical Aspects, Laboratoire de Mathématiques de Reims, Dec. 2018.
23. Seismic reconstruction using FWI with dual-sensors data. GDR MecaWave, Fréjus, France, Nov. 2018.
24. Quantitative Convergence and Stability of Seismic Inverse Problems. Reconstruction Methods for Inverse Problems, Roma, Italy, May 2018.

2017

25. Convergence of seismic full waveform inversion and extension to Cauchy data. Inverse Days 2017, Oulu, Finland, Dec. 2017.
26. Convergence Analysis for Seismic Full Waveform Inversion. Mathias - Total Symposium on Mathematics, Paris, France, Oct. 2017.
27. Stability and convergence for seismic reconstruction using full waveform inversion. Johann Radon Institute for Computational and Applied Mathematics, RICAM, Group Seminar, Linz, Austria, July 2017.
28. Stability and convergence analysis for seismic depth imaging using FWI. Oberwolfach workshop: Computational Inverse Problems for Partial Differential Equations, pp.67–70, Oberwolfach, Germany, May 2017.

2016

29. Inverse Problem in the Frequency Domain for Subsurface Reconstruction. Workshop DIP - Depth Imaging Partnershpi Inria-Total, Houston, USA, Oct. 2016.
30. Full Waveform Inversion for Elastic Medium using Quantitative Lipschitz Stability Estimates. 7th EAGE Saint Petersburg International Conference and Exhibition, St Petersburg, Russia, Apr. 2016.
31. Stability Estimates for the Helmholtz Inverse Problem and Seismic Reconstruction. Workshop on Inverse Problems for PDEs, Bremen, Germany, March 2016.

2015

32. Stability estimates for full waveform inversion. Workshop DIP - Depth Imaging Partnershpi Inria-Total, Pau, France, June 2015.
33. Elastic isotropic full waveform inversion via quantitative stability estimates. GEAGAM Workshop On Advanced Subsurface Visualization Methods, Pau, France, May 2015.
34. Complex frequency-domain seismic computation for modelling and inversion; Elastic isotropic full waveform inversion via quantitative stability estimates. PANACM, Pan-American Congress On Computational Mechanics, Buenos Aires, Argentina, (Apr. 2015.

2014

35. Multi-level elastic full waveform inversion in isotropic media via quantitative Lipschitz stability estimates. Mathias - Total Symposium on Mathematics, Paris, France, Oct. 2014.
36. Multi-level elastic full waveform inversion in isotropic media via quantitative Lipschitz stability estimates. Project Review Meeting, Geo-Mathematical Imaging Group, Chicago, USA, Apr. 2014.

2013

37. Multi-level, multi-frequency, 3D Full Waveform Inversion. Mathias - Total Symposium on Mathematics, Paris, France, Oct. 2013.
38. Introduction to 3D seismic depth imaging. Embassy of France in the United States - VI meeting, Washington, USA, Aug. 2013.
39. Multi-level, multi-frequency, compressed full waveform inversion in 3D. VI Meeting America, Total, Berkeley, USA, June 2013.
40. Multi-level, multi-frequency, compressed full waveform inversion in 3D including attenuation. Project Review Meeting, Geo-Mathematical Imaging Group, Chicago, USA, Apr. 2013.

2012

41. Seismic waves inversion in the complex frequency domain 3D reconstruction. VI Meeting America, Total, Houston, USA, Nov. 2012.
42. Complex frequency full waveform inversion using a fast 3D frontal solver. Mathias - Total Symposium on Mathematics, Paris, France, Oct. 2012.
43. Seismic waves inversion in the frequency domain and 3D imaging. VI Meeting America, Total, Montréal, Canada, Apr. 2012.