Bibliography

Major publications by the team in recent years

• 1H. Barucq, A. Bendali, M. Fares, V. Mattesi, S. Tordeux.
  A Symmetric Trefftz-DG formulation based on a local boundary element method for the solution of the Helmholtz equation, in: Journal of Computational Physics, October 2016. [ DOI : 10.1016/j.jcp.2016.09.062 ]
  https://hal.archives-ouvertes.fr/hal-01395861
• 2H. Barucq, R. Djellouli, E. Estecahandy.
  On the existence and the uniqueness of the solution of a fluid-structure interaction scattering problem, in: Journal of Mathematical Analysis and applications, April 2014, vol. 412, n^o 2, pp. 571-588, In press. [ DOI : 10.1016/j.jmaa.2013.10.081 ]
  https://hal.inria.fr/hal-00903365
• 3E. Beretta, M. V. de Hoop, F. Faucher, O. Scherzer.
  Inverse Boundary Value Problem For The Helmholtz Equation: Quantitative Conditional Lipschitz Stability Estimates, in: SIAM Journal on Mathematical Analysis, November 2016, vol. 48, n^o 6, pp. 3962 - 3983. [ DOI : 10.1137/15M1043856 ]
  https://hal.archives-ouvertes.fr/hal-01407446
• 4J. Chabassier.
  Le piano rêvé des mathématiciens, November 2013.
  http://hal.inria.fr/hal-00913685
• 5J. Chabassier, S. Imperiale.
  Fourth order energy-preserving locally implicit time discretization for linear wave equations, in: International Journal for Numerical Methods in Engineering, 2015. [ DOI : 10.1002/nme.5130 ]
  https://hal.inria.fr/hal-01222072
• 6J. Diaz, M. J. Grote.
  Multi-level explicit local time-stepping methods for second-order wave equations, in: Computer Methods in Applied Mechanics and Engineering, July 2015, vol. 291, pp. 240–265. [ DOI : 10.1016/j.cma.2015.03.027 ]
  https://hal.inria.fr/hal-01184090
• 7J. Diaz, V. Péron.
  Equivalent Robin Boundary Conditions for Acoustic and Elastic Media, in: Mathematical Models and Methods in Applied Sciences (M3AS), 2016.
  https://hal.inria.fr/hal-01254194
• 8L. Gizon, H. Barucq, M. Duruflé, C. Hanson, M. Leguèbe, A. Birch, J. Chabassier, D. Fournier, T. Hohage, E. Papini.
  Computational helioseismology in the frequency domain: acoustic waves in axisymmetric solar models with flows, 2016, to appear.
  https://hal.archives-ouvertes.fr/hal-01403332

Publications of the year

Doctoral Dissertations and Habilitation Theses

• 9V. Darrigrand.
  Goal-oriented adaptivity using unconventional error representations, Universidad del Pais Vasco & Université de Pau et des Pays de l'Adour, 2017.
• 10F. Faucher.
  Contributions to seismic full waveform inversion for time harmonic wave equations: stability estimates, convergence analysis, numerical experiments involving large scale optimization algorithms, Université de Pau et des Pays de l'Adour, 2017.
• 11M. N'diaye.
  On the study and development of high-order time integration schemes for ODEs applied to acoustic and electromagnetic wave propagation problems, Université de Pau et des Pays de l'Adour, 2017.
• 12V. Péron.
  Asymptotic Models for Acoustic, Elastic and Electromagnetic Media. Corner and Edge Asymptotics for Elliptic Systems, Université de Pau et des Pays de l'Adour, December 2017, Habilitation à diriger des recherches.
  https://hal.inria.fr/tel-01660795

Articles in International Peer-Reviewed Journals

• 13H. Barucq, A. Bendali, M. Fares, V. Mattesi, S. Tordeux.
  A Symmetric Trefftz-DG formulation based on a local boundary element method for the solution of the Helmholtz equation, in: Journal of Computational Physics, February 2017, vol. 330, pp. 1069-1092. [ DOI : 10.1016/j.jcp.2016.09.062 ]
  https://hal.archives-ouvertes.fr/hal-01395861
• 14H. Barucq, J. Chabassier, M. Duruflé, L. Gizon, M. Leguèbe.
  Atmospheric Radiation Boundary Conditions for the Helmholtz Equation, in: ESAIM: Mathematical Modelling and Numerical Analysis, 2017, forthcoming.
  https://hal.inria.fr/hal-01581834
• 15H. Barucq, J. Chabassier, H. Pham, S. Tordeux.
  Numerical robustness of single-layer method with Fourier basis for multiple obstacle acoustic scattering in homogeneous media, in: Wave Motion, 2017, vol. 77, pp. 40-63. [ DOI : 10.1016/j.wavemoti.2017.10.011 ]
  https://hal.archives-ouvertes.fr/hal-01667176
• 16H. Barucq, R. Djellouli, E. Estecahandy, M. Moussaoui.
  Mathematical Determination of the Fréchet Derivative with Respect to the Domain for a Fluid-Structure Scattering Problem. Case of Polygonal-Shaped Domains, in: SIAM, Journal of Mathematical Analysis, 2017, pp. 1-29, forthcoming.
  https://hal.inria.fr/hal-01655937
• 17H. Barucq, M. Duruflé, M. N'diaye.
  High-order Padé and Singly Diagonally Runge-Kutta schemes for linear ODEs, application to wave propagation problems, in: Numerical Methods for Partial Differential Equations, November 2017.
  https://hal.archives-ouvertes.fr/hal-01511089
• 18M. Bonnasse-Gahot, H. Calandra, J. Diaz, S. Lanteri.
  Hybridizable discontinuous Galerkin method for the two-dimensional frequency-domain elastic wave equations, in: Geophysical Journal International, 2017, n^o 1-38, forthcoming. [ DOI : 10.1093/gji/ggx533 ]
  https://hal.inria.fr/hal-01656440
• 19J. Chabassier, S. IMPERIALE.
  Space/Time convergence analysis of a class of conservative schemes for linear wave equations, in: Comptes Rendus Mathématique, March 2017, vol. 355, n^o 3, pp. 282-289. [ DOI : 10.1016/j.crma.2016.12.009 ]
  https://hal.inria.fr/hal-01421882
• 20V. Darrigrand, Á. Rodríguez-Rozas, I. Muga, D. Pardo, A. Romkes, S. Prudhomme.
  Goal-oriented adaptivity using unconventional error representations for the multidimensional Helmholtz equation, in: International Journal for Numerical Methods in Engineering, September 2017, vol. 113, n^o 1, pp. 22 - 42, forthcoming. [ DOI : 10.1002/nme.5601 ]
  https://hal.archives-ouvertes.fr/hal-01691495
• 21V. Darrigrand, Á. Rodríguez-Rozas, D. Pardo, I. Muga.
  Goal-Oriented p -Adaptivity using Unconventional Error Representations for a 1D Steady State Convection-Diffusion Problem, in: Procedia Computer Science, 2017, vol. 108, pp. 848-856. [ DOI : 10.1016/j.procs.2017.05.168 ]
  https://hal.archives-ouvertes.fr/hal-01691499
• 22D. Fournier, M. Leguèbe, C. S. Hanson, L. Gizon, H. Barucq, J. Chabassier, M. Duruflé.
  Atmospheric radiation boundary conditions for high frequency waves in time-distance helioseismology, in: Astronomy and Astrophysics - A&A, 2017, vol. 608, n^o A109, pp. 1-9. [ DOI : 10.1051/0004-6361/201731283 ]
  https://hal.archives-ouvertes.fr/hal-01622697
• 23L. Gizon, H. Barucq, M. Duruflé, C. Hanson, M. Leguèbe, A. Birch, J. Chabassier, D. Fournier, T. Hohage, E. Papini.
  Computational helioseismology in the frequency domain: acoustic waves in axisymmetric solar models with flows, in: Astronomy and Astrophysics - A&A, April 2017, vol. 600, A35 p, https://arxiv.org/abs/1611.01666v1. [ DOI : 10.1051/0004-6361/201629470 ]
  https://hal.archives-ouvertes.fr/hal-01403332

Invited Conferences

• 24H. Barucq.
  Current trends in solving full-wave equation for imaging complex media, in: 2017 - Equations hyperboliques et physique mathématique, Bordeaux, France, May 2017.
  https://hal.inria.fr/hal-01691558
• 25H. Barucq, H. Calandra, G. Chavent, M. V. de Hoop, F. Faucher.
  Stability and convergence analysis for seismic depth imaging using FWI, in: Computational Inverse Problems for Partial Differential Equations Workshop, Oberwolfach, Germany, Computational Inverse Problems for Partial Differential Equations, May 2017, pp. 67–70.
  https://hal.archives-ouvertes.fr/hal-01623952
• 26H. Barucq, H. Calandra, G. Chavent, M. V. de Hoop, F. Faucher.
  Stability and convergence for seismic reconstruction using full waveform inversion, in: Johann Radon Institute for Computational and Applied Mathematics (RICAM) Group Seminar, Linz, Austria, July 2017.
  https://hal.archives-ouvertes.fr/hal-01623950
• 27H. Barucq, H. Calandra, G. Chavent, F. Faucher.
  Convergence of seismic full waveform inversion and extension to Cauchy data, in: Inverse Days 2017, Oulu, Finland, December 2017.
  https://hal.archives-ouvertes.fr/hal-01662677
• 28H. Barucq, H. Calandra, J. Diaz, E. Shishenina.
  Trefftz -Discontinuous Galerkin Approach for Solving Elastodynamic Problem, in: ENUMATH 2017 - European Conference on Numerical Mathematics and Advanced Applications, Voss, Norway, September 2017.
  https://hal.inria.fr/hal-01691617

International Conferences with Proceedings

• 29H. Barucq, A. Bendali, J. Diaz, S. Tordeux.
  A Trefftz method whose shape functions are constructed thanks to a high-order DG finite element method, in: Waves 2017 - 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Minnesota, United States, May 2017.
  https://hal.inria.fr/hal-01691588
• 30H. Barucq, M. Duruflé, M. N'diaye.
  A-stable high-order implicit time schemes, in: Waves 2017 International Conference on Mathematical and Numerical Aspects of Wave Propagation, Minneapolis, United States, May 2017, vol. 2017.
  https://hal.inria.fr/hal-01535638
• 31H. Barucq, H. Pham, J. Chabassier, S. Tordeux.
  Numerical Robustness of Single Layer method with Fourier basis in 2D multiple obstacle scattering, in: WAVES 2017 - 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Minneapolis, United States, May 2017, pp. 1-34.
  https://hal.archives-ouvertes.fr/hal-01674521
• 32F. Faucher, M. V. de Hoop, G. Alessandrini, R. Gaburro, E. Sincich.
  Acoustic Full Waveform Inversion from Cauchy data via conditional well-posedness driven iterative regularization, in: Proceedings of the Project Review, Geo-Mathematical Imaging Group at Rice University, Houston TX, Houston, TX, United States, Proceedings of the Project Review, Geo-Mathematical Imaging Group at Rice University, Houston TX, Proceedings of the Project Review, Geo-Mathematical Imaging Group at Rice University, Houston TX, April 2017, vol. 1, pp. 31–42.
  https://hal.archives-ouvertes.fr/hal-01623949
• 33M. Issa, V. Péron, R. Perrussel.
  Asymptotic Modelling for 3D Eddy Current Problems with a Conductive Thin Layer, in: ACOMEN 2017 - 7th International Conference on Advanced COmputational Methods in ENgineering, Ghent, Belgium, September 2017, Book of abstracts of the 7th International Conference on Advanced Computational Methods in Engineering.
  https://hal.inria.fr/hal-01679683
• 34V. Machado, A. Braga, N. Rampon, J. Bez, F. Boito, R. Kassick, E. Padoin, J. Diaz, J.-F. Méhaut, P. Navaux.
  Towards Energy-Efficient Storage Servers, in: 32nd ACM Symposium on Applied Computing (SAC 2017), Marrakesh, Morocco, D. Shin, M. Lencastre (editors), Proceedings of the Symposium on Applied Computing (SAC'17), ACM Digital Library, April 2017.
  https://hal.archives-ouvertes.fr/hal-01519168
• 35M. N'DIAYE, H. Barucq, M. Durufle.
  On the development of locally implicit schemes for linear wave problems, in: MATHIAS 2017 – TOTAL Symposium on Mathematics, Val d'Europe, France, October 2017, pp. 1-23.
  https://hal.inria.fr/hal-01656542

Conferences without Proceedings

• 36H. Barucq, H. Calandra, G. Chavent, F. Faucher.
  Convergence Analysis for Seismic Full Waveform Inversion, in: MATHIAS – TOTAL Symposium on Mathematics, Paris, France, October 2017.
  https://hal.archives-ouvertes.fr/hal-01623953
• 37H. Barucq, H. Calandra, A. Citrain, J. Diaz, C. Gout.
  On the coupling of Spectral Element Method with Discontinuous Galerkin approximation for elasto-acoustic problems, in: MATHIAS – TOTAL Symposium on Mathematics, Paris, France, October 2017.
  https://hal.archives-ouvertes.fr/hal-01690670
• 38M. Bonnasse-Gahot, H. Calandra, J. Diaz, S. Lanteri.
  Hybridizable Discontinuous Galerkin Methods for modelling 3D seismic wave propagation in harmonic domain, in: WAVES 2017 - 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Minneapolis, United States, May 2017.
  https://hal.inria.fr/hal-01693189
• 39M. Bonnasse-Gahot, H. Calandra, J. Diaz, S. Lanteri.
  Performances analysis of a Hybridizable discontinuous Galerkin solver for the 3D Helmholtz equations in geophysical context, in: Third EAGE workshop on High performance computing for Upstream, Athens, Greece, October 2017.
  https://hal.archives-ouvertes.fr/hal-01677290
• 40H. Calandra, E. Shishenina, J. Diaz, H. Barucq.
  Trefftz-DG Approximation for the Elasto-Acoustics, in: WAVES 2017 - 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Minneapolis, United States, May 2017.
  https://hal.inria.fr/hal-01693111
• 41H. Pham, H. Barucq, J. Chabassier, S. Tordeux.
  Direct and inverse problem in multiple-scattering of small obstacles in homogeneous media, in: journées jeunes chercheur-e-s sur la résolution de problèmes d’ondes harmoniques de grande taille, Paris, France, November 2017, pp. 1-64.
  https://hal.archives-ouvertes.fr/hal-01674526
• 42C. Shen, D. Brito, J. Diaz, D. Zhang, V. Poydenot, C. Bordes, S. Garambois.
  On the use of a laser ablation as a laboratory seismic source, in: EGU GENERAL ASSEMBLY, Vienna, Austria, April 2017, vol. 19, pp. 2017 - 13963.
  https://hal.archives-ouvertes.fr/hal-01513597

Internal Reports

• 43H. Barucq, H. Calandra, J. Diaz, E. SHISHENINA.
  Space-Time Trefftz - Discontinuous Galerkin Approximation for Elasto-Acoustics, Inria Bordeaux Sud-Ouest ; UPPA (LMA-Pau) ; Total E&P, October 2017, n^o RR-9104.
  https://hal.inria.fr/hal-01614126
• 44H. Barucq, H. Calandra, H. Pham, S. Tordeux.
  A study of the Numerical Dispersion for the Continuous Galerkin discretization of the one-dimensional Helmholtz equation, Inria Bordeaux Sud-Ouest ; Magique 3D, June 2017, n^o RR-9075.
  https://hal.inria.fr/hal-01533177
• 45H. Pham, H. Barucq, F. Faucher.
  Quantitative localization of small obstacles with single-layer potential fast solvers, Inria Bordeaux Sud-Ouest ; Magique 3D ; Universite de Pau et des Pays de l'Adour, December 2017, n^o RR-9137.
  https://hal.inria.fr/hal-01673475

Other Publications

• 46J. Chabassier, J. Diaz, A. Ha, S. Imperiale.
  Construction and Analysis of a Fourth Order, Energy Preserving, Explicit Time Discretization for Dissipative Linear Wave Equations, January 2018, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01690548
• 47F. Faucher, G. Alessandrini, M. V. de Hoop, R. Gaburro, E. Sincich.
  Inverse problem for the Helmholtz equation with Cauchy data: reconstruction with conditional well-posedness driven iterative regularization, December 2017, https://arxiv.org/abs/1712.00398 - 24 pages, 20 figures.
  https://hal.archives-ouvertes.fr/hal-01656606
• 48J. Labat, V. Péron, S. Tordeux.
  On the scattering of electromagnetic waves by small bodies, May 2017, Oral communication in the Caleta Numérica seminar, Pontificia Universidad Catolica of Valparaiso, Chile.
  https://hal.inria.fr/hal-01677560
• 49V. Péron.
  Impedance transmission conditions for eddy current problems, April 2017, working paper or preprint.
  https://hal.inria.fr/hal-01505612

References in notes

• 50J. Alvarez-Aramberri, D. Pardo, H. Barucq.
  Inversion of Magnetotelluric Measurements Using Multigoal Oriented hp-adaptivity, in: ICCS 2013-International Conference on Computational Science, Barcelona, Spain, V. Alexandrov, M. Lees, V. Krzhizhanovskaya, J. Dongarra, P. M. Sloot (editors), Procedia Computer Science, Elsevier, June 2013, vol. 18, pp. 1564 - 1573. [ DOI : 10.1016/j.procs.2013.05.324 ]
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• 51M. Amara, H. Calandra, R. Djellouli, M. Grigoroscuta-Strugaru.
  A modified discontinuous Galerkin method for solving efficiently Helmholtz problems, in: Communications in Computational Physics, 2012, vol. 11, n^o 2, pp. 335–350.
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• 52M. Amara, H. Calandra, R. Djellouli, M. Grigoroscuta-Strugaru.
  A stable discontinuous Galerkin-type method for solving efficiently Helmholtz problems., in: Computers an Structures, 2012, vol. 106-107, pp. 258-272.
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• 55J. Barrière, C. Bordes, D. Brito, P. Sénéchal, H. Perroud.
  Laboratory monitoring of P waves in partially saturated sand, in: Geophysical Journal International, 2012, vol. 191, n^o 3, pp. 1152–1170.
• 56H. Barucq, J. Chabassier, J. Diaz, E. Estecahandy.
  Numerical Analysis of a reduced formulation of an elasto-acoustic scattering problem, in: WAVES 13 : 11th International Conference on Mathematical and Numerical Aspects of Waves, Gammarth, Tunisia, June 2013.
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• 57H. Barucq, R. Djellouli, E. Estecahandy.
  Efficient DG-like formulation equipped with curved boundary edges for solving elasto-acoustic scattering problems, in: International Journal for Numerical Methods in Engineering, 2014.
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• 58L. Beirão da Veiga, F. Brezzi, L. D. Marini.
  Virtual Elements for linear elasticity problems, in: SIAM Journal on Numerical Analysis, 2013, vol. 51, n^o 2, pp. 794–812.
• 59L. Beirão da Veiga, F. Brezzi, L. D. Marini, A. Russo.
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  A virtual element method with arbitrary regularity, in: IMA Journal of Numerical Analysis, 2013, drt018 p.
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• 62F. Brezzi, L. D. Marini.
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  Space-time mesh refinement for elastodynamics. Numerical results, in: Comput. Methods Appl. Mech. Engrg., 2005, vol. 194, n^o 2-5, pp. 355–366.
• 64J. Chabassier, S. Imperiale.
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• 65X. Claeys, F. Collino.
  Asymptotic and numerical analysis for Holland and Simpson's thin wire formalism, in: Journal of computational and applied mathematics, 2011, vol. 235, n^o 15, pp. 4418–4438.
• 66F. Collino, T. Fouquet, P. Joly.
  Conservative space-time mesh refinement methods for the FDTD solution of Maxwell's equations, in: J. Comput. Phys., 2006, vol. 211, n^o 1, pp. 9–35.
• 67V. Dolean, H. Fahs, L. Fezoui, S. Lanteri.
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• 68M. Dumbser, M. Käser, E. F. Toro.
  An arbitrary high-order Discontinuous Galerkin method for elastic waves on unstructured meshes - V. Local time stepping and p-adaptivity, in: Geophysical Journal International, 2007, vol. 171, n^o 2, pp. 695–717.
  http://dx.doi.org/10.1111/j.1365-246X.2007.03427.x
• 69S. Garambois, M. Dietrich.
  Seismoelectric wave conversions in porous media: Field measurements and transfer function analysis, in: Geophysics, 2001, vol. 66, n^o 5, pp. 1417–1430.
• 70S. Garambois, M. Dietrich.
  Full waveform numerical simulations of seismoelectromagnetic wave conversions in fluid-saturated stratified porous media, in: Journal of Geophysical Research, 2002, vol. 107, n^o B7, 2148 p.
• 71M. J. Grote, T. Mitkova.
  High-order explicit local time-stepping methods for damped wave equations, in: Journal of Computational and Applied Mathematics, 2013, vol. 239, n^o 0, pp. 270 - 289. [ DOI : 10.1016/j.cam.2012.09.046 ]
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• 72S. Imperiale, P. Joly.
  Mathematical and numerical modelling of piezoelectric sensors, in: ESAIM-Mathematical Modelling and Numerical Analysis, 2012, vol. 46, n^o 4, 875 p.
• 73R. Kirby, S. Sherwin, B. Cockburn.
  To CG or to HDG: A Comparative Study, in: Journal of Scientific Computing, 2012, vol. 51, n^o 1, pp. 183-212.
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• 74G. Kriegsmann, A. Taflove, K. Umashankar.
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• 75M. Käser, M. Dumbser.
  An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes - I. The two-dimensional isotropic case with external source terms, in: Geophysical Journal International, 2006, vol. 166, n^o 2, pp. 855–877.
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• 76L. Li, S. Lanteri, R. Perrussel.
  Numerical investigation of a high order hybridizable discontinuous Galerkin method for 2d time-harmonic Maxwell's equations, in: COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2013, vol. 32, n^o 3, pp. 1112–1138.
• 77N. C. Nguyen, J. Peraire, B. Cockburn.
  High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics, in: Journal of Computational Physics, 2011, vol. 230, n^o 10, pp. 3695–3718.
• 78N. Nirenberg..
  Etude d'une méthode d'éléments finis d'ordre élevé et son hybridation avec d'autres méthodes numériques pour la simulation électromagnétique instationnaire dans un contexte industriel, Toulouse University, 2016.
• 79D. Pardo, C. Torres-Verdín, Z. Zhang.
  Sensitivity study of borehole-to-surface and crosswell electromagnetic measurements acquired with energized steel casing to water displacement in hydrocarbon-bearing layers, in: Geophysics, 2008, vol. 73, n^o 6, pp. F261–F268.
• 80S. Piperno.
  Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems, in: M2AN Math. Model. Numer. Anal., 2006, vol. 40, n^o 5, pp. 815–841.
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