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- Research topics/Thèmes de recherche: Analysis, PDE, Modelling, numerical analysis, scientific calculus, numerical simulation, inverse problems, medical imaging, image processing, waves modelling and simulation.
- Encadrement doctoral : B. Gnamah (avec A. Hamdi, depuis 2023), A. Leclerc (33%, Région Normandie, avec C. Gout et H. Barucq, à partir d'octobre 2021), T. Cousin (CIFRE avec Routes de France, à partir de Mars 2021, avec C. Gout, et C. Fauchard du CEREMA).
- Contrats industriels : Routes de France (2021-24, avec C. Gout, C. Fauchard, C. Leroy), Siemens-Gamesa (2019-...).
- Collaborations: Université de Genève (M.J. Gander ), POEMS (A.-S. Bonnet-Ben Dhia, S. Fliss), LMI (A. Hamdi, C. Gout, C. Le Guyader, I. Ciotir), M3DISIM (P. Moireau, S. Imperiale), CEREMA (Cyrille Fauchard, Raphaël Antoine), IFSTTAR (Yannick Fargier), INRIA EPI MAKUTU (H. Barucq), LMN (Renata Troian), Adwen (N. Warncke), CEA LIST (V. Baronian). Invité en Chine (Université Shandong à Weihai) en 2024.
- Teaching/Enseignement: Génie Mathématique et STPI.
- Ph. D. thesis/Thèse: in Mathematics, 2015, INRIA POEMS, Paris ENSTA UMA (A.S. Bonnet Ben Dhia, S. Fliss).
- Administrative activities/Activité administrative : membre du comité de pilotage INSA Rouen HRS4R (2017-...), membre du Conseil de Département (GM) et du Conseil de Laboratoire (LMI).
- Membre des projets M2Num, Teledetac, M2SiNum, Defhy3geo (2022-2025, Région et Europe), ANR COSS, Scale Op (2024-2028, Idemo, BPI France).
Publications/Papers
- PyLGRIM: Modelling 3D-ERI with infinite elements in complex topography context, A. Tonnoir, C. Fauchard, Y. Fargier, V. Guilbert and R. Antoine, Computers & Geosciences 192 (105685), 2024. Lien HAL.
- Analysis of Schwarz methods for convected Helmholtz like equations, M.J. Gander and A. Tonnoir, SIAM SISC , 2024. Lien HAL.
- The Half-Space Matching method for elastodynamic scattering problems in unbounded domains, E. Bécache, A.-S. Bonnet-Ben Dhia, S. Fliss and A. Tonnoir, JCP , 2023. Lien HAL.
- A non-local macroscopic model for traffic flow, I. Ciotir, R. Fayad, N. Forcadel and A. Tonnoir, ESAIM: M2AN , 2021. Lien HAL
- Dispersion-Current adjoint functions for monitoring accidental sources in 3D transport equations, A. Hamdi and A. Tonnoir, Inverse Problem in Science and Engineering, 2020. Lien HAL.
- Analytical approach to Galerkin BEMs on polyhedral surfaces, N. Warncke, I. Ciotir, A. Tonnoir, C. Gout and Z. Lambert SMAI J. of Computational Mathematics, 2019.
- Analysis of an observer strategy for initial state reconstruction of wave-like systems in unbounded domains, S. Imperiale, P. Moireau, A. Tonnoir ESAIM-COCV, 2019. Lien HAL
- The halfspace matching method: A new method to solve scattering problems in infinite media, A.-S. Bonnet - Ben Dhia, S. Fliss, A. Tonnoir Journal of Computational and Applied Mathematics, 2018. Lien HAL
- Iterative methods for scattering problems in isotropic or anisotropic elastic waveguides, V. Baronian, A.-S. Bonnet - Ben Dhia, S. Fliss, A. Tonnoir Wave Motion, 2016. Lien HAL
- A Rellich type theorem for the Helmholtz equation in a conical domain, A.-S. Bonnet - Ben Dhia, S. Fliss, C. Hazard, A. Tonnoir Comptes Rendus Mathématiques, 2016. Lien HAL
- Dirichlet-to-Neumann operator for diffraction problems in stratified anisotropic acoustic waveguides, A. Tonnoir Comptes Rendus Mathématiques, 2016. Lien HAL
Proceedings
- 4. Impact of the Dem’s Resolution on 2d and 3d-Eri Common Pratice, Y. Fargier, T. Dezert, R. Antoine, A. Tonnoir and C. Fauchard, 2021. NSG2021 27th European Meeting of Environmental and Engineering Geophysics.
- 3. Coastline Erosion Study via UAV Drone Remote Sensing Using Python Modelling Electrical Resistivity Imaging (PyMERI), Raphaël Antoine, Ioana Ciotir, Stéphane Costa, Yannick Fargier, Cyrille Fauchard, Christian Gout, Carole Le Guyader, Olivier Maquaire, Sam Taoum, Antoine Tonnoir, 2020. IGARSS 2020-2020 IEEE International Geoscience and Remote Sensing Symposium.
- New perspectives offered by overlaps to design transparent boundary conditions in waveguides. V. Baronian, A.-S. Bonnet-Ben Dhia, S. Fliss, A. Tonnoir. Proc. of the 12th International Conf. on Math. and Numerical Aspects of Wave Propagation, KIT, Karlsruhe, 2015. pp. 282-283.
- Exact transparent boundary conditions for diffraction problems in some anisotropic plates. V. Baronian, A.-S. Bonnet-Ben Dhia, S. Fliss, A. Tonnoir. European Research Network, Eighth Meeting, Gregynog, 2014. pp. 127-130.
- New transparent boundary condition for time harmonic acoustic diffraction problem in anisotropic media. A.-S. Bonnet-Ben Dhia, S. Fliss, A. Tonnoir. Proc. of the 11th International Conf. on Math. and Numerical Aspects of Wave Propagation, Gammarth, Tunis, 2013. pp. 307-308.
- Iterative method to solve scattering problems in elastic waveguide. V. Baronian, A.-S. Bonnet-Ben Dhia, S. Fliss, A. Tonnoir. European Research Network, Seventh Meeting, Oléron, 2012.
Talks/Communications
- Waves 2017 (abstracts), Minneapolis, USA.
- Analysis of an observers strategy for initial state reconstruction in unbounded domains (Fliss/ Impériale/
Moireau/ *Tonnoir)
- The half-space matching method for the diffraction by polygonal scatterers (Bonnet-Ben Dhia/ Fliss/
*Tjandrawidjaja/ Tonnoir)
- Transparent boundary conditions for general waveguide problems (Bonnet Ben-Dhia/ *Fliss/ Tonnoir) - CANUM 2016 (Mini-symposium "Aspects numériques de la contrôlabilité des EDP et problèmes inverses''), Obernai, France (2016).
- Waves 2015 (12th international conference on mathematical and numerical aspects of waves), Karlsruhe, Allemagne (2015).
- Semaine d'analyse numérique de Besançon, Besançon, France (2015).
- Workshop on transparent boundary conditions and resonances in elastic media, Göttingen, Allemagne (2014)
- 8th GDR conference on wave propagation in complex media for quantitative and non destructive evaluation, Gregynog, Angleterre (2014).
- Waves 2013 (11th international conference on mathematical and numerical aspects of waves), Tunis, Tunisie (2013).
- Poster : Forum STIC, Paris-Saclay (2013).
- 7th GDR conference on wave propagation in complex media for quantitative and non destructive evaluation, Oléron, France (2012).
- Poster : Forum DIGITEO, École Polytechnique, Palaiseau (2012).