HALathon 2021 UPPA

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1. Hélène Barucq, Julien Diaz, Vanessa Mattesi, Sébastien Tordeux. Asymptotic behavior of acoustic waves scattered by very small obstacles. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, In press, 55, pp.705 - 731. ⟨10.1051/m2an/2020047⟩. ⟨hal-01250654v2⟩
2. Hélène Barucq, Abderrahmane Bendali, Julien Diaz, Sébastien Tordeux. Local strategies for improving the conditioning of the plane-wave Ultra-Weak Variational Formulation. Journal of Computational Physics, Elsevier, In press, 441, pp.110449. ⟨10.1016/j.jcp.2021.110449⟩. ⟨hal-03235684⟩
3. Justine Labat, Victor Péron, Sébastien Tordeux. Equivalent multipolar point-source modeling of small spheres for fast and accurate electromagnetic wave scattering computations. Wave Motion, Elsevier, 2020, ⟨10.1016/j.wavemoti.2019.102409⟩. ⟨hal-02139201v2⟩
4. Håkon Sem Fure, Sébastien Pernet, Margot Sirdey, Sébastien Tordeux. A discontinuous Galerkin Trefftz type method for solving the two dimensional Maxwell equations. SN Partial Differential Equations and Applications, Springer, 2020, 1 (23), pp.19. ⟨10.1007/s42985-020-00024-0⟩. ⟨hal-02899350⟩
5. Abderrahmane Bendali, Sébastien Tordeux, Yuriy Volchkov. Extension of the Günter derivatives to Lipschitz domains and application to the boundary potentials of elastic waves. Journal of Applied Mechanics and Technical Physics, Springer Verlag, 2020, 61 (1), pp.21. ⟨10.1134/S0021894420010150⟩. ⟨hal-01395952v2⟩
6. Hélène Barucq, M'Barek Fares, Carola Kruse, Sébastien Tordeux. Sparsified discrete wave problem involving radiation condition on a prolate spheroidal surface. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2019, ⟨10.1093/imanum/drn000⟩. ⟨hal-02386957⟩
7. Hélène Barucq, Abderrahmane Bendali, M'Barek Fares, Vanessa Mattesi, Sébastien Tordeux. A Symmetric Trefftz-DG formulation based on a local boundary element method for the solution of the Helmholtz equation. Journal of Computational Physics, Elsevier, 2017, 330, pp.1069-1092. ⟨10.1016/j.jcp.2016.09.062⟩. ⟨hal-01395861⟩
8. Hélène Barucq, Juliette Chabassier, Ha Pham, Sébastien Tordeux. Numerical robustness of single-layer method with Fourier basis for multiple obstacle acoustic scattering in homogeneous media. Wave Motion, Elsevier, 2017, 77, pp.40-63. ⟨10.1016/j.wavemoti.2017.10.011⟩. ⟨hal-01667176⟩
9. Abderrahmane Bendali, Pierre-Henri Cocquet, Sébastien Tordeux. Approximation by multipoles of the multiple acoustic scattering by small obstacles and application to the Foldy theory of isotropic scattering.. Archive for Rational Mechanics and Analysis, Springer Verlag, 2016, 219 (3), pp.1017-1059. ⟨10.1007/s00205-015-0915-5⟩. ⟨hal-01025436⟩
10. Sergey Solovyev, Sébastien Tordeux. An efficient truncated SVD of large matrices based on the low-rank approximation for inverse geophysical problems . Sibirskie Elektronnye Matematičeskie Izvestiâ, Russian Academy of Sciences, 2015, 12, pp.592-609. ⟨10.17377/semi.2015.12.048⟩. ⟨hal-01414769⟩
11. Sophie Laurens, Estelle Piot, Abderrahmane Bendali, M'Barek Fares, Sébastien Tordeux. Effective conditions for the reflection of an acoustic wave by low-porosity perforated plates. Journal of Fluid Mechanics, Cambridge University Press (CUP), 2014. ⟨hal-00769393⟩
12. Sophie Laurens, Sébastien Tordeux, Abderrahmane Bendali, M'Barek Fares, P. Robert Kotiuga. Lower and upper bounds for the Rayleigh conductivity of a perforated plate. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2013, 47 (6), pp.1691-1712. ⟨10.1051/m2an/2013082⟩. ⟨hal-00686438⟩
13. Sophie Laurens, Sébastien Tordeux. Explicit computation of the electrostatic energy for an elliptical charged disc.. Applied Mathematics Letters, Elsevier, 2013, 26 (2), pp.301-305. ⟨10.1016/j.aml.2012.09.013⟩. ⟨hal-00723234v2⟩
14. Abderrahmane Bendali, M'Barek Fares, Sophie Laurens, Sébastien Tordeux. Numerical study of acoustic multiperforated plates. ESAIM: Proceedings, EDP Sciences, 2012, 37, pp.166-177. ⟨10.1051/proc/201237005⟩. ⟨hal-00686434⟩
15. Ralf Hiptmair, P. Robert Kotiuga, Sébastien Tordeux. Self-adjoint curl operators. Annali di Matematica Pura ed Applicata, Springer Verlag, 2012, 191 (3), pp.431-457. ⟨10.1007/s10231-011-0189-y⟩. ⟨inria-00527733⟩
16. Virginie Bonnaillie-Noël, Delphine Brancherie, Marc Dambrine, Frédéric Hérau, Sébastien Tordeux, et al.. Multiscale expansion and numerical approximation for surface defects. ESAIM: Proceedings, EDP Sciences, 2011, 33, pp.22-35. ⟨10.1051/proc/201133003⟩. ⟨hal-00771995⟩
17. Kersten Schmidt, Sébastien Tordeux. High order transmission conditions for thin conductive sheets in magneto-quasistatics. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2011, 45 (6), pp.1115-1140. ⟨10.1051/m2an/2011009⟩. ⟨inria-00473213v2⟩
18. Abderrahmane Bendali, Abdelkader Makhlouf, Sébastien Tordeux. Field behavior near the edge of a microstrip antenna by the method of matched asymptotic expansions. Quarterly of Applied Mathematics, American Mathematical Society, 2011, 69, pp.691-721. ⟨10.1090/S0033-569X-2011-01256-3⟩. ⟨inria-00531578⟩
19. Kersten Schmidt, Sébastien Tordeux. Asymptotic modelling of conductive thin sheets. Zeitschrift für Angewandte Mathematik und Physik, Springer Verlag, 2010, 61 (4), pp.603-626. ⟨10.1007/s00033-009-0043-x⟩. ⟨inria-00527608⟩
20. Abderrahmane Bendali, Abdelkader Makhlouf, Sébastien Tordeux. Justification of the cavity model in the numerical simulation of patch antennas by the method of matched asymptotic expansions. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2010, 8 (5), pp.1902--1922. ⟨10.1137/090771041⟩. ⟨hal-00644409⟩
21. Virginie Bonnaillie-Noël, Marc Dambrine, Sébastien Tordeux, Grégory Vial. Interactions between moderately close inclusions for the Laplace equation. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2009, 19 (10), pp.1853-1882. ⟨10.1142/S021820250900398X⟩. ⟨hal-00455312⟩
22. Patrick Joly, Sébastien Tordeux. Matching of asymptotic expansions for waves propagation in media with thin slots. II. The error estimates. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2008, 42 (2), pp.193--221. ⟨10.1051/m2an:2008004⟩. ⟨inria-00527445⟩
23. Virginie Bonnaillie-Noël, Marc Dambrine, Sébastien Tordeux, Grégory Vial. On moderately close inclusions for the Laplace equation. Comptes Rendus Mathématique, Elsevier Masson, 2007, 345 (11), pp.609-614. ⟨10.1016/j.crma.2007.10.037⟩. ⟨hal-00384110⟩
24. Marianne Clausel, Marc Duruflé, Patrick Joly, Sébastien Tordeux. A mathematical analysis of the resonance of the finite thin slots. Applied Numerical Mathematics, Elsevier, 2006, 56 (10-11), pp.1432-1449. ⟨hal-00404068⟩
25. Patrick Joly, Sébastien Tordeux. Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2006, 40 (1), pp.63--97. ⟨10.1051/m2an:2006008⟩. ⟨inria-00527590⟩
26. Patrick Joly, Sébastien Tordeux. Matching of asymptotic expansions for wave propagation in media with thin slots. I. The asymptotic expansion. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2006, 5 (1), pp.304--336 (electronic). ⟨10.1137/05064494X⟩. ⟨inria-00527588⟩
27. Sébastien Tordeux, Grégory Vial, Monique Dauge. Matching and multiscale expansions for a model singular perturbation problem. Comptes Rendus Mathématique, Elsevier Masson, 2006, 343 (10), pp.637-642. ⟨10.1016/j.crma.2006.10.010⟩. ⟨hal-00453366⟩
28. Justine Labat, Victor Péron, Sébastien Tordeux. Asymptotic models for the multiple electromagnetic wave scattering problem by small obstacles. Journées Ondes Sud-Ouest (JOSO), Mar 2019, Le Barp, France. ⟨hal-02071888⟩
29. Justine Labat, Victor Péron, Sébastien Tordeux. Equivalent point-source modeling of small obstacles for electromagnetic waves. WAVES 2019 - 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Aug 2019, Vienne, Austria. ⟨hal-02278032⟩
30. Hélène Barucq, Abderrahmane Bendali, Julien Diaz, Sébastien Tordeux. On the finite element solution of helmholtz problems in anisotropic media. Journées Ondes Sud-Ouest (JOSO), Mar 2019, Le Barp, France. ⟨hal-02138982⟩
31. Justine Labat, Victor Péron, Sébastien Tordeux. Asymptotic modeling of the multiple electromagnetic wave scattering by small spheres. ECCM-ECFD 2018 - 6th European Conference on Computational Mechanics and 7th European Conference on Computational Fluid Dynamics, Jun 2018, Glasgow, Ecosse, United Kingdom. ⟨hal-01834217⟩
32. Justine Labat, Victor Péron, Sébastien Tordeux. Foldy-Lax Model for the Scattering Problem in Electromagnetism. 5th International Congress on Multiphysics, Multiscale and Optimization Problems, May 2018, Bilbao, Spain. ⟨hal-01895526⟩
33. Ha Pham, Hélène Barucq, Juliette Chabassier, Sébastien Tordeux. Direct and inverse problem in multiple-scattering of small obstacles in homogeneous media.. Journées jeunes chercheur-e-s sur la résolution de problèmes d’ondes harmoniques de grande taille, Nov 2017, Paris, France. pp.1-64. ⟨hal-01674526⟩
34. Vincent Popie, Estelle Piot, Frank Simon, Sébastien Tordeux. Impedance eduction of perforated plates at low Stouhal numbers and high bias flow Mach number. 21st AIAA/CEAS Aeroacoustics Conference, Jun 2015, Dallas, United States. ⟨10.2514/6.2015-3275⟩. ⟨hal-02398717⟩
35. Hélène Barucq, Julien Diaz, Sébastien Tordeux. Introduction to the mathematical analysis of the Helmholtz equation : Sommerfeld condition, limiting amplitude principle and limiting absorption principle. Summer School Jaca 2012, Sep 2012, Jaca, Spain. ⟨hal-00927403⟩
36. Virginie Bonnaillie-Noël, Delphine Brancherie, Marc Dambrine, Sébastien Tordeux, Grégory Vial. Effet de micro-défauts sur la rupture des structures : couplage d'une analyse asymptotique et des méthodes à discontinuité forte. 9e Colloque national en calcul des structures, CSMA, May 2009, Giens, France. ⟨hal-01412127⟩
37. Abderrahmane Bendali, Abdelkader Tizaoui, Sébastien Tordeux. Matching of Asymptotic Expansions for a 2-D eigenvalue problem with two cavities linked by a narrow hole. WAVES, INRIA Bordeaux Sud-Ouest et Université de Pau, 2009, Pau, France. ⟨inria-00527896⟩
38. Sébastien Tordeux. Raccordement de développements asymptotiques pour des problèmes aux valeurs propres comportant deux cavités reliées par un petit trou en dimensions 2 et 3. Séminaire d'analyse numérique, LJK, 2009, Grenoble, France. ⟨inria-00528075⟩
39. Kersten Schmidt, Sébastien Tordeux. Asymptotic expansion of highly conductive thin sheets. Sixth International Congress on Industrial Applied Mathematics - ICIAM 07, 2007, Zurich, Switzerland. pp.2040011-2040012, ⟨10.1002/pamm.200700278⟩. ⟨inria-00527939⟩
40. Patrick Joly, Sébastien Tordeux. Raccordement de développements asymptotiques pour la propagation des ondes dans les milieux comportant des fentes. Groupe de travail: Ondes & Structures, IMT, 2006, Toulouse, France. ⟨inria-00528073⟩
41. Monique Dauge, Sébastien Tordeux, Grégory Vial. Comparaison des techniques de raccordements de développements asymptotiques et de développements multiéchelles. Groupe de travail: Ondes & Structures, IMT, 2006, Toulouse, France. ⟨inria-00528074⟩
42. Sébastien Tordeux, Patrick Joly. Matching of asymptotic expansions for the wave propagation in media with thin slot. AG Analysis und Numerik, 2005, Baal, Switzerland. ⟨inria-00528070⟩
43. Patrick Joly, Sébastien Tordeux. Raccordement de développements asymptotiques pour la propagation des ondes dans les milieux comportant des fentes. Séminaire de Mathématiques et de Physique Appliquées, INSTN, CEA, 2005, Saclay, France. ⟨inria-00528071⟩
44. Sébastien Tordeux, Patrick Joly. Matching of asymptotic expansions for the wave propagation in media with thin slot. WAVES, Brown University, 2005, Providence, United States. ⟨inria-00527861⟩
45. Sébastien Tordeux, Patrick Joly. Matching of asymptotic expansions for the wave propagation in media with thin slot. TiSCoPDE workshop (New Trends in Simulation and Control of PDEs), WIAS, 2005, Berlin, Germany. ⟨inria-00528072⟩
46. Sébastien Tordeux, Patrick Joly. Raccordement de développements asymptotiques pour la propagation des ondes dans les milieux comportant des fentes. Groupe de travail : Applications des Mathématiques, ENS Cachan, 2004, Rennes, France. ⟨inria-00528067⟩
47. Monique Dauge, Sébastien Tordeux, Grégory Vial. Self-similar perturbation near a corner: matching versus multiscale expansions for a model problem. Ari Laptev, Tamara Rozhkovskaya. Around the Research of Vladimir Maz'ya II, Partial Differential Equations., Springer, pp.95-134, 2010, International Mathematical Series, ⟨10.1007/978-1-4419-1343-2_4⟩. ⟨hal-00124936v2⟩
48. Sébastien Tordeux. Modélisation asymptotique pour les problèmes de propagation d'ondes. Analyse numérique [math.NA]. Université de Pau et des Pays de l'Adour, 2012. ⟨tel-00760447⟩
49. Justine Labat, Victor Péron, Sébastien Tordeux. On the scattering of electromagnetic waves by small bodies. 2017. ⟨hal-01677560⟩
50. Justine Labat, Victor Péron, Sébastien Tordeux. The multiple electromagnetic wave scattering by small spheres. Seminar of RWTH Aachen University, Dec 2018, Aachen, Germany. 2018. ⟨hal-01954996⟩
51. Hélène Barucq, Nathan Rouxelin, Sébastien Tordeux. HDG and HDG+ methods for harmonic wave problems with convection. [Research Report] RR-9410, Inria Bordeaux - Sud-Ouest; LMAP UMR CNRS 5142; Université de Pau et des Pays de l'Adour (UPPA), Pau, FRA. 2021. ⟨hal-03253415⟩
52. Justine Labat, Victor Péron, Sébastien Tordeux. Asymptotic Modeling of the Electromagnetic Scattering by Small Spheres Perfectly Conducting. [Research Report] RR-9169, Université de Pau et des Pays de l'Adour; Inria Bordeaux Sud-Ouest; LMAP UMR CNRS 5142. 2018. ⟨hal-01762625v2⟩
53. Hélène Barucq, Henri Calandra, Ha Pham, Sébastien Tordeux. A study of the Numerical Dispersion for the Continuous Galerkin discretization of the one-dimensional Helmholtz equation. [Research Report] RR-9075, Inria Bordeaux Sud-Ouest; Magique 3D. 2017. ⟨hal-01533177⟩
54. Hélène Barucq, Juliette Chabassier, Ha Pham, Sébastien Tordeux. A study of the numerical robustness of single-layer method with Fourier basis for multiple obstacle scattering in homogeneous media. [Research Report] RR-8988, Inria Bordeaux Sud-Ouest. 2016. ⟨hal-01408904⟩
55. Hélène Barucq, Vanessa Mattesi, Sébastien Tordeux. The Mellin Transform. [Research Report] RR-8743, INRIA Bordeaux; INRIA. 2015, pp.16. ⟨hal-01165453v2⟩
56. Hélène Barucq, Abderrahmane Bendali, M Fares, Vanessa Mattesi, Sébastien Tordeux. A Symmetric Trefftz-DG Formulation based on a Local Boundary Element Method for the Solution of the Helmholtz Equation. [Research Report] RR-8800, INRIA Bordeaux. 2015, pp.31. ⟨hal-01218784⟩
57. Abderrahmane Bendali, Abdelkader Tizaoui, Sébastien Tordeux, Jean-Paul Vila. Matching of Asymptotic Expansions for a 2-D eigenvalue problem with two cavities linked by a narrow hole. [Research Report] 2009, pp.78. ⟨inria-00527776⟩
58. Sébastien Tordeux. Un problème de Laplace non standard en milieu non borné. [Rapport de recherche] RR-5799, INRIA. 2006, pp.13. ⟨inria-00070224⟩
59. Patrick Joly, Sébastien Tordeux. Modèles asymptotiques pour la propagation des ondes dans des milieux comportant des fentes. [Rapport de recherche] RR-5568, INRIA. 2005, pp.54. ⟨inria-00070438⟩
60. Sébastien Tordeux. Méthodes Asymptotiques pour la Propagation des Ondes dans les Milieux comportant des Fentes. Mathématiques [math]. Université de Versailles-Saint Quentin en Yvelines, 2004. Français. ⟨tel-00009246v2⟩

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