Florian Faucher
Project-team Makutu, Inria
Bordeaux, Université de Pau
et des Pays de l'Adour.
florian.faucher [at] inria.fr
CV.pdf
  0000-0003-4958-7511
  GoogleScholar
  HAL

  Gitlab project hawen
  hawen website

    Ongoing Projects

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• ERC Starting-Grant INCORWAVE (2024--2029): Nonlinear inversion of correlation waveforms with hierarchical reconstructions. European project focusing on passive imaging in terrestrial and extra-terrestrial inverse problems. https://ffaucher.gitlab.io/erc-incorwave/
• ANR-DFG Project BUTTERFLY (2024--2027): computation of stellar butterfly diagram; joint project with the University of Göttingen. The project is co-funded by the French ANR and the German DFG.

    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 and Scientific Reports

• H. Pham, F. Faucher, D. Fournier, H. Barucq, and L. Gizon. Assembling algorithm for Green's tensors and absorbing boundary conditions for Galbrun's equation in radial symmetry, arXiv preprint 2401.17080, pp. 1--33, 2024.

Journal Articles

1. H. Pham, F. Faucher, and H. Barucq. Numerical investigation of stabilization in the Hybridizable Discontinuous Galerkin method for linear anisotropic elastic equation, Computer Methods in Applied Mechanics and Engineering , 428 (1), pp. 1--23, 2024, arXiv preprint, extended research report.
2. J. A. Lara Benitez, T. Furuya, F. Faucher, A. Kratsios, X. Tricoche and M. V. de Hoop. Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation, Journal of Computational Physics, 513 (1), 113168, pp. 1--59, 2024, arXiv preprint.
3. T. Liu, J. A. Lara Benitez, F. Faucher, A. Khorashadizadeh, M. V. de Hoop, and I. Dokmanic. WaveBench: Benchmarks Datasets for Modeling Linear Wave Propagation PDEs , Transactions on Machine Learning Research, 2835--8856, 2024.
4. M. Deheuvels, F. Faucher, and D. Brito. Numerical and experimental study of ultrasonic seismic waves propagation and attenuation on high quality factor samples , Geophysical Prospecting, 2023.
5. F. Faucher and O. Scherzer. Synthetic dataset for visco-acoustic imaging , Data in Brief, 48 (1), Elsevier, 2023.
6. 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).
7. F. Faucher and O. Scherzer. Quantitative inverse problem in visco-acoustic media under attenuation model uncertainty , Journal of Computational Physics, 470 (1), 2022.
8. 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.
9. F. Faucher. hawen: time-harmonic wave modeling and inversion using hybridizable discontinuous Galerkin discretization , Journal of Open Source Software, 6 (57), 2021.
10. 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.
11. 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.
12. 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.
13. 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).
14. 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.
15. 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.
16. 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.
17. 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.
18. 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.
19. 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.
20. 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.
21. 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.
22. 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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2024

1. Numerical inverse wave problems for quantitative viscoelastic reconstructions Inverse problems: Modeling and Simulation (IPMS), May 2024.

2023

2. Quantitative reconstruction of viscoelastic media with attenuation model uncertainty. Workshop on Rich and Nonlinear tomography , Isaac Newton Institute for Mathematical Sciences, Cambridge, England, June 2023.
3. Quantitative reconstruction of viscoelastic media with attenuation model uncertainty. Applied Inverse Problems Conference (AIP) , Göttingen, Germany, September 2023.
4. Seismic imaging with reciprocity-gap misfit criterion using data of unknown sources. Applied Inverse Problems Conference (AIP) , Göttingen, Germany, September 2023.
5. Time-harmonic wave modeling and inversion using Hybridizable Discontinuous Galerkin discretization and the MUMPS solver. MUMPS Consortium P2P Meeting, Université de Pau et des Pays de l’Adour, France, June 2023.

2022

6. 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.
7. Computational helioseismology: studying wave propagation in the solar interior. Meeting CNES -- INRIA Bordeaux, INRIA Bordeaux, France, May 2022.
8. 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.
9. 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

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

2020

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

2019

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

2018

27. 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.
28. Seismic reconstruction using FWI with dual-sensors data. GDR MecaWave, Fréjus, France, Nov. 2018.
29. Quantitative Convergence and Stability of Seismic Inverse Problems. Reconstruction Methods for Inverse Problems, Roma, Italy, May 2018.

2017

30. Convergence of seismic full waveform inversion and extension to Cauchy data. Inverse Days 2017, Oulu, Finland, Dec. 2017.
31. Convergence Analysis for Seismic Full Waveform Inversion. Mathias - Total Symposium on Mathematics, Paris, France, Oct. 2017.
32. 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.
33. 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

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

2015

37. Stability estimates for full waveform inversion. Workshop DIP - Depth Imaging Partnershpi Inria-Total, Pau, France, June 2015.
38. Elastic isotropic full waveform inversion via quantitative stability estimates. GEAGAM Workshop On Advanced Subsurface Visualization Methods, Pau, France, May 2015.
39. 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

40. Multi-level elastic full waveform inversion in isotropic media via quantitative Lipschitz stability estimates. Mathias - Total Symposium on Mathematics, Paris, France, Oct. 2014.
41. 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

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

2012

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

Florian Faucher
Project-team Makutu, Inria
Bordeaux, Université de Pau
et des Pays de l'Adour.
florian.faucher [at] inria.fr
CV.pdf
  0000-0003-4958-7511
  GoogleScholar
  HAL

  Gitlab project hawen
  hawen website

    Publications

---

Preprints and Scientific Reports

• H. Pham, F. Faucher, D. Fournier, H. Barucq, and L. Gizon. Assembling algorithm for Green's tensors and absorbing boundary conditions for Galbrun's equation in radial symmetry, arXiv preprint 2401.17080, pp. 1--33, 2024.

Journal Articles

1. H. Pham, F. Faucher, and H. Barucq. Numerical investigation of stabilization in the Hybridizable Discontinuous Galerkin method for linear anisotropic elastic equation, Computer Methods in Applied Mechanics and Engineering , 428 (1), pp. 1--23, 2024. arXiv preprint, extended research report.
2. J. A. Lara Benitez, T. Furuya, F. Faucher, A. Kratsios, X. Tricoche and M. V. de Hoop. Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation, Journal of Computational Physics, 513 (1), 113168, pp. 1--59, 2024, arXiv preprint.
3. T. Liu, J. A. Lara Benitez, F. Faucher, A. Khorashadizadeh, M. V. de Hoop, and I. Dokmanic. WaveBench: Benchmarks Datasets for Modeling Linear Wave Propagation PDEs , Transactions on Machine Learning Research, 2835--8856, 2024, GitHub code, Zenodo repository.
4. M. Deheuvels, F. Faucher, and D. Brito. Numerical and experimental study of ultrasonic seismic waves propagation and attenuation on high quality factor samples , Geophysical Prospecting, 2023.
5. F. Faucher and O. Scherzer. Synthetic dataset for visco-acoustic imaging , Data in Brief, 48 (1), Elsevier, 2023.
6. 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).
7. F. Faucher and O. Scherzer. Quantitative inverse problem in visco-acoustic media under attenuation model uncertainty , Journal of Computational Physics, 470 (1), 2022.
8. 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.
9. F. Faucher. hawen: time-harmonic wave modeling and inversion using hybridizable discontinuous Galerkin discretization , Journal of Open Source Software, 6 (57), 2021.
10. 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.
11. 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.
12. 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.
13. 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).
14. 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.
15. 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.
16. 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.
17. 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.
18. 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.
19. 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.
20. 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.
21. 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.
22. 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.