Bibliography

Major publications by the team in recent years

• 1C. Agut, J. Diaz.
  
  Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation, in: ESAIM: Mathematical Modelling and Numerical Analysis, 2013, vol. 47, n^o 3, pp. 903-932. [ DOI : 10.1051/m2an/2012061 ]
  
  http://hal.inria.fr/hal-00759457
• 2M. Amara, R. Djellouli, C. Farhat.
  
  Convergence analysis of a discontinuous Galerkin method with plane waves and Lagrange multipliers for the solution of Helmholtz problems, in: SIAM Journal on Numerical Analysis, 2009, vol. 47, pp. 1038–1066.
• 3C. Baldassari, H. Barucq, H. Calandra, J. Diaz.
  
  Numerical performances of a hybrid local-time stepping strategy applied to the reverse time migration, in: Geophysical Prospecting, September 2011, vol. 59, n^o 5, pp. 907-919. [ DOI : 10.1111/j.1365-2478.2011.00975.x ]
  
  http://hal.inria.fr/hal-00627603/en
• 4H. Barucq, C. Bekkey, R. Djellouli.
  
  "Full aperture reconstruction of the acoustic Far-Field Pattern from few measurements", in: Communication in Computational Physics, 2012, vol. 11, pp. 647-659. [ DOI : 10.4208/cicp.281209.150610s ]
  
  http://hal.inria.fr/inria-00527346
• 5H. Barucq, T. Chaumont Frelet, J. Diaz, V. Péron.
  
  Upscaling for the Laplace problem using a discontinuous Galerkin method, in: Journal of Computational and Applied Mathematics, November 2012.
  
  http://hal.inria.fr/hal-00757098
• 6H. Barucq, J. Diaz, V. Duprat.
  
  Long-Time Stability Analysis of Acoustic Absorbing Boundary Conditions for Regular-Shaped Surfaces, in: Mathematical Models and Methods in Applied Sciences, 2013, vol. 23, n^o 11, pp. 2129-2154.
  
  http://hal.inria.fr/hal-00759451
• 7H. Barucq, J. Diaz, M. Tlemcani.
  
  New absorbing layers conditions for short water waves, in: Journal of Computational Physics, 2010, vol. 229. [ DOI : 10.1016/j.jcp.2009.08.033 ]
• 8H. Barucq, R. Djellouli, C. Bekkey.
  
  A multi-step procedure for enriching limited two-dimensional acoustic far-field pattern measurements, in: Journal of Inverse and Ill-Posed Problems, 2010, vol. 18, pp. 189-216.
• 9H. Barucq, R. Djellouli, E. Estecahandy.
  
  Characterization of the Frćhet derivative of the elasto-acoustic field with respect to Lipschitz domains, in: Journal of Inverse and Ill-posed Problems, August 2013. [ DOI : 10.1515/jip-2012-0098 ]
  
  http://hal.inria.fr/hal-00880508
• 10H. Barucq, A.-G. Dupouy Saint-Guirons, S. Tordeux.
  
  Non-reflecting boundary condition on ellipsoidal boundary, in: Numerical Analysis and Applications, 2012, vol. 5, n^o 2, pp. 109-115.
  
  http://hal.inria.fr/hal-00760458
• 11J. Chabassier, S. Imperiale.
  
  Introduction and study of fourth order theta schemes for linear wave equations, in: Journal of Computational and Applied Mathematics, January 2013, vol. 245, pp. 194-212. [ DOI : 10.1016/j.cam.2012.12.023 ]
  
  http://hal.inria.fr/hal-00873048
• 12P. Dular, V. Péron, R. Perrussel, L. Krähenbühl, C. Geuzaine.
  
  Perfect Conductor and Impedance Boundary Condition Corrections via a Finite Element Subproblem Method, in: IEEE Transactions on Magnetics, February 2014, vol. 50, n^o 2, 7000504. [ DOI : 10.1109/TMAG.2013.2284338 ]
  
  https://hal.archives-ouvertes.fr/hal-00869987
• 13S. Tordeux, A. Bendali, P.-H. Cocquet.
  
  Scattering of a scalar time-harmonic wave by N small spheres by the method of matched asymptotic expansions, in: Numerical Analysis and Applications, 2012, vol. 5, n^o 2, pp. 116-123.
  
  http://hal.inria.fr/hal-00760457

Publications of the year

Doctoral Dissertations and Habilitation Theses

• 14V. Mattesi.
  
  Small heterogeneities in the context of time-domain wave propagation equation : asymptotic analysis and numerical calculation, Université de Pau et des pays de l'Adour, December 2014.
  
  https://hal.inria.fr/tel-01111046
• 15F. Ventimiglia.
  
  High Order time and space schemes for the first order wave equation. Application to the Reverse Time Migration, Université de Pau et des Pays de l'Adour, June 2014.
  
  https://tel.archives-ouvertes.fr/tel-01111039

Articles in International Peer-Reviewed Journals

• 16M. Amara, S. Chaudhry, J. Diaz, R. Djellouli, S. Fiedler.
  
  A local wave tracking strategy for efficiently solving mid-and high-frequency Helmholtz problems, in: Computer Methods in Applied Mechanics and Engineering, 2014, vol. 276, pp. 473–508. [ DOI : 10.1016/j.cma.2014.03.012 ]
  
  https://hal.inria.fr/hal-01010465
• 17L. Baratchart, Y. Fischer, J. Leblond.
  
  Dirichlet/Neumann problems and Hardy classes for the planar conductivity equation, in: Complex Variables and Elliptic Equations, 2014, 41 p. [ DOI : 10.1080/17476933.2012.755755 ]
  
  https://hal.archives-ouvertes.fr/hal-00909577
• 18H. Barucq, L. Boillot, H. Calandra, J. Diaz.
  
  Absorbing Boundary Conditions for 2D Tilted Transverse Isotropic Media, in: ESAIM: Proceedings, September 2014, vol. 45, pp. 400-409. [ DOI : 10.1051/proc/201445041 ]
  
  https://hal.inria.fr/hal-01085442
• 19H. Barucq, H. Calandra, J. Diaz, F. Ventimiglia.
  
  High-Order Time Discretization Of The Wave Equation By Nabla-P Scheme, in: ESAIM: Proceedings, September 2014, vol. 45, pp. 67 - 74. [ DOI : 10.1051/proc/201445007 ]
  
  https://hal.inria.fr/hal-01111071
• 20H. 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, forthcoming.
  
  https://hal.inria.fr/hal-00931852
• 21H. 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, forthcoming. [ DOI : 10.1016/j.jmaa.2013.10.081 ]
  
  https://hal.inria.fr/hal-00903365
• 22M. Castro, J. Diaz, V. Péron.
  
  Equivalent Absorbing Boundary Conditions for Heterogeneous Acoustic Media , in: Trends in Applied and Computational Mathematics, 2014, vol. 15, n^o 3, 10 p.
  
  https://hal.inria.fr/hal-01110728
• 23J. Chabassier, M. Duruflé.
  
  Energy based simulation of a Timoshenko beam in non-forced rotation. Application to the flexible piano hammer shank, in: Journal of Sound and Vibration, 2014, vol. 333, n^o 26, pp. 7198-7215.
  
  https://hal.archives-ouvertes.fr/hal-00918635
• 24J. Chabassier, M. Duruflé, P. Joly.
  
  Time Domain Simulation of a Piano. Part 2 : Numerical Aspects, in: ESAIM: Mathematical Modelling and Numerical Analysis, October 2014, pp. 1-43, L'article est en cours de revision.
  
  https://hal.archives-ouvertes.fr/hal-01085477
• 25M. Dauge, P. Dular, L. Krähenbühl, V. Péron, R. Perrussel, C. Poignard.
  
  Corner asymptotics of the magnetic potential in the eddy-current model, in: Mathematical Methods in the Applied Sciences, 2014, vol. 37, n^o 13, pp. 1924-1955. [ DOI : 10.1002/mma.2947 ]
  
  https://hal.inria.fr/hal-00779067
• 26P. Dular, V. Péron, L. Krähenbühl, C. Geuzaine.
  
  Progressive eddy current modeling via a finite element subproblem method, in: International Journal of Applied Electromagnetics and Mechanics, June 2014, vol. 46, n^o 2, pp. 341-348. [ DOI : 10.3233/JAE-141943 ]
  
  https://hal.archives-ouvertes.fr/hal-01071480
• 27P. Dular, V. Péron, R. Perrussel, L. Krähenbühl, C. Geuzaine.
  
  Perfect Conductor and Impedance Boundary Condition Corrections via a Finite Element Subproblem Method, in: IEEE Transactions on Magnetics, February 2014, vol. 50, n^o 2, 7000504. [ DOI : 10.1109/TMAG.2013.2284338 ]
  
  https://hal.archives-ouvertes.fr/hal-00869987
• 28M. Duruflé, V. Péron, C. Poignard.
  
  Thin Layer Models For Electromagnetism, in: Communications in Computational Physics, 2014, vol. 16, pp. 213-238. [ DOI : 10.4208/cicp.120813.100114a ]
  
  https://hal.archives-ouvertes.fr/hal-00918634
• 29L. Farina, P. A. Martin, V. Péron.
  
  Hypersingular integral equations over a disc: convergence of a spectral method and connection with Tranter's method, in: Journal of Computational and Applied Mathematics, 2014, vol. 269, pp. 118-131. [ DOI : 10.1016/j.cam.2014.03.014 ]
  
  https://hal.inria.fr/hal-00971497
• 30S. Laurens, E. Piot, A. Bendali, M. Fares, S. Tordeux.
  
  Effective conditions for the reflection of an acoustic wave by low-porosity perforated plates, in: Journal of Fluid Mechanics, 2014, forthcoming.
  
  https://hal.archives-ouvertes.fr/hal-00769393
• 31V. Péron.
  
  Equivalent boundary conditions for an elasto-acoustic problem set in a domain with a thin layer, in: ESAIM: Mathematical Modelling and Numerical Analysis, 2014, vol. 48, n^o 5, pp. 1431-1449. [ DOI : 10.1051/m2an/2014002 ]
  
  https://hal.inria.fr/hal-00925643
• 32S. Shannon, V. Péron, Z. Yosibash.
  
  Singular asymptotic solution along an elliptical edge for the Laplace equation in 3-D, in: Engineering Fracture Mechanics, 2015, 16 p.
  
  https://hal.inria.fr/hal-01097676
• 33S. Shannon, V. Péron, Z. Yosibash.
  
  The Laplace equation in 3-D domains with cracks: Dual singularities with log terms and extraction of corresponding edge flux intensity functions , in: Mathematical Methods in the Applied Sciences, 2015, 14 p.
  
  https://hal.inria.fr/hal-01111593

International Conferences with Proceedings

• 34H. Barucq, H. Calandra, T. Chaumont Frelet, C. Gout.
  
  Helmholtz Equation in Highly Heterogeneous Media, in: Second Russian-French Workshop "Computational Geophysics", Novosibirsk, Russia, September 2014.
  
  https://hal.inria.fr/hal-01100478
• 35H. Barucq, H. Calandra, T. Chaumont Frelet, C. Gout.
  
  Helmholtz equation in Highly Heterogeneous Media, in: 11th World Congress on Computational Mechanics, Barcelone, Spain, Eccomas, July 2014.
  
  https://hal.inria.fr/hal-01100492
• 36H. Barucq, H. Calandra, T. Chaumont Frelet, C. Gout.
  
  Helmholtz Equation in Highly Heterogeneous Media: a two Scales Analysis, in: Third international workshop on multiphysics, multiscale and optimization problem, Bilbao, Spain, May 2014.
  
  https://hal.inria.fr/hal-01100475
• 37H. Barucq, H. Calandra, J. Diaz, J. Luquel.
  
  Imaging of complex media with elastic wave equations, in: 2014 eccomas, barcelone, Spain, July 2014.
  
  https://hal.inria.fr/hal-01096616
• 38L. Boillot, H. Barucq, H. Calandra, J. Diaz.
  
  (Portable) Task-based programming model for elastodynamics, in: EAGE workshop on HPC for Upstream, Chania, Greece, September 2014.
  
  https://hal.inria.fr/hal-01070015
• 39L. Boillot, G. Bosilca, E. Agullo, H. Calandra.
  
  Portable Task-based programming for seismic imaging, in: MATHIAS – TOTAL Symposium on Mathematics, Paris, France, October 2014.
  
  https://hal.inria.fr/hal-01085333
• 40L. Boillot, G. Bosilca, E. Agullo, H. Calandra.
  
  Task-based programming for Seismic Imaging: Preliminary Results, in: 2014 IEEE International Conference on High Performance Computing and Communications (HPCC), PARIS, France, August 2014.
  
  https://hal.inria.fr/hal-01057580
• 41M. Bonnasse-Gahot, H. Calandra, J. Diaz, S. Lanteri.
  
  Discontinuous Galerkin methods for solving Helmholtz elastic wave equations for seismic imaging, in: WCCM XI - ECCM V - ECFD VI - Barcelona 2014, Barcelone, Spain, July 2014.
  
  https://hal.inria.fr/hal-01096324
• 42M. Bonnasse-Gahot, H. Calandra, J. Diaz, S. Lanteri.
  
  Hybridizable Discontinuous Galerkin method for solving Helmholtz elastic wave equations, in: EAGE Workshop on High Performance Computing for Upstream, Chania, Greece, September 2014.
  
  https://hal.inria.fr/hal-01096385
• 43M. Bonnasse-Gahot, H. Calandra, J. Diaz, S. Lanteri.
  
  Performance analysis of DG and HDG methods for the simulation of seismic wave propagation in harmonic domain, in: Second Russian-French Workshop "Computational Geophysics", Berdsk, Russia, September 2014.
  
  https://hal.inria.fr/hal-01096392
• 44J. Chabassier, S. Imperiale.
  
  Fourth order energy-preserving localy implicit discretization for linear wave equations, in: Second French-Russian Workshop on Computational Geophysics, Novosibirsk, Russia, September 2014.
  
  https://hal.inria.fr/hal-01067115
• 45J. Chabassier, S. Imperiale.
  
  High order theta schemes for linear wave equation, in: 11th world congress on computational mechanics (WCCM), Barcelone, Spain, July 2014, pp. 1-2.
  
  https://hal.archives-ouvertes.fr/hal-01051808
• 46P. Dular, V. Péron, L. Krähenbühl, C. Geuzaine.
  
  Subproblem Finite Element Refinement of Inductors from Wire to Static and Dynamic Volume Models, in: CEFC, Annecy, France, Proc. of the 16th Biennial IEEE Conference on Electromagnetic Field Computation, May 2014, CD.
  
  https://hal.archives-ouvertes.fr/hal-00959756
• 47A. Erdozain, D. Pardo, V. Péron.
  
  Fast Simulation of Through-casing Resistivity Measurements Using Semi-analytical Asymptotic Models. Part 1: Accuracy Study, in: EAGE Workshop on High Performance Computing for Upstream, Crete, Greece, September 2014.
  
  https://hal.inria.fr/hal-01096897
• 48F. Faucher, J. Shi, M. V. de Hoop, H. Calandra.
  
  Multi-level elastic full waveform inversion in isotropic media via quantitative Lipschitz stability estimates, in: Project Review Meeting, Chicago, United States, Geo-Mathematical Imaging Group, Department of Mathematics, Purdue University, April 2014.
  
  https://hal.archives-ouvertes.fr/hal-01096249
• 49F. Faucher, J. Shi, M. V. de Hoop, H. Calandra.
  
  Multi-level elastic full waveform inversion in isotropic media via quantitative Lipschitz stability estimates, in: MATHIAS – TOTAL Symposium on Mathematics, Paris, France, TOTAL, October 2014.
  
  https://hal.archives-ouvertes.fr/hal-01096272
• 50L. Krähenbühl, P. Dular, V. Péron, R. Perrussel, C. Poignard, R. V. Sabariego.
  
  Asymptotic delta-Parameterization of Surface-Impedance Solutions, in: CEFC, Annecy, France, Proc. of the 16th Biennial IEEE Conference on Electromagnetic Field Computation, May 2014, CD.
  
  https://hal.archives-ouvertes.fr/hal-00959750
• 51V. Popie, E. Piot, S. Tordeux, V. François.
  
  Theoretical and numerical investigation of acoustic response of a multiperforated plate for combustor liner, in: ASME Turbo Expo 2015 : Turbine Technical Conference and Exposition, Montreal, Canada, June 2015.
  
  https://hal.inria.fr/hal-01111467

National Conferences with Proceedings

• 52L. Boillot, H. Barucq, J. Diaz, H. Calandra.
  
  Optimized wave propagation for geophysics, in: Journée scientifique du MCIA (Mésocentre de Calcul Intensif Aquitain), Pau, France, February 2014.
  
  https://hal.inria.fr/hal-01057582
• 53M. Bonnasse-Gahot, H. Calandra, J. Diaz, S. Lanteri.
  
  Numerical schemes for the simulation of seismic wave propagation in frequency domain, in: Réunion des Sciences de la Terre 2014, Pau, France, October 2014.
  
  https://hal.inria.fr/hal-01096390

Conferences without Proceedings

• 54H. Barucq, H. Calandra, J. Diaz, F. Ventimiglia.
  
  Arbitrary High Order Time Scheme for Wave Equation, in: The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Madrid, Spain, July 2014.
  
  https://hal.inria.fr/hal-01111091
• 55H. Barucq, H. Calandra, J. Diaz, F. Ventimiglia.
  
  High order schemes for the first order formulation of the wave equation. Application to seismic imaging, in: Journées Ondes du Sud-Ouest, Toulouse, France, February 2014.
  
  https://hal.inria.fr/hal-01111082
• 56H. Barucq, R. Djellouli, E. Estecahandy.
  
  Shape Reconstruction of Non-convex Elastic Scatterers Using a Regularized Newton-type Method, in: The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Madrid, Spain, July 2014.
  
  https://hal.inria.fr/hal-01111089
• 57L. Boillot, H. Barucq, J. Diaz, H. Calandra.
  
  Absorbing Boundary Conditions for Tilted Transverse Isotropic elastic media, in: ECCOMAS, WCCM XI - ECCM V - ECFD VI, Barcelona, Spain, July 2014.
  
  https://hal.inria.fr/hal-01057581
• 58J. Chabassier, S. Imperiale.
  
  Fourth order energy-preserving locally implicit discretization for linear wave equations, in: Franco-Russian workshop on mathematical geophysics, Novosibirsk, Russia, September 2014.
  
  https://hal.archives-ouvertes.fr/hal-01051807
• 59J. Chabassier, S. Imperiale.
  
  Introduction and study of fourth order theta schemes for linear wave equations, in: Journées Ondes du Sud-Ouest, Toulouse, France, February 2014, COM.
  
  https://hal.archives-ouvertes.fr/hal-01051803
• 60F. Collino, M. Duruflé, P. Joly, M. Lecouvez.
  
  Optimized Transmission Conditions for Domain Decomposition Methods and Helmholtz Equation. Application to Higher Order Finite Element Methods, in: International Conference on Spectral and High Order Methods 2014, Salt Lake City, United States, June 2014.
  
  https://hal.archives-ouvertes.fr/hal-01110763

Internal Reports

• 61H. Barucq, M. Bergot, J. Chabassier, E. Estecahandy.
  
  Derivation of high order absorbing boundary conditions for the Helmholtz equation in 2D, Inria Bordeaux, November 2014, n^o RR-8632.
  
  https://hal.inria.fr/hal-01085180
• 62J. Chabassier, M. Durufle.
  
  Energy based simulation of a Timoshenko beam in non-forced rotation. Application to the flexible piano hammer shank, January 2014, n^o RR-8450, 24 p.
  
  https://hal.inria.fr/hal-00929938

Scientific Popularization

• 63J. Chabassier, A. Chaigne, M. Durufle, P. Joly.
  
  Le piano rêvé des mathématiciens, in: Interstices, April 2014.
  
  https://hal.inria.fr/hal-01054389

Other Publications

• 64H. Barucq, H. Calandra, T. Chaumont Frelet, C. Gout.
  
  High Order Methods for Helmholtz Problems in Highly Heterogeneous Media, October 2014, Journées Total-Mathias 2014.
  
  https://hal.inria.fr/hal-01100468
• 65A. Bendali, P.-H. Cocquet, S. Tordeux.
  
  Approximation by multipoles of the multiple acoustic scattering by small obstacles and application to the Foldy theory of isotropic scattering, July 2014.
  
  https://hal.archives-ouvertes.fr/hal-01025436
• 66M. Bonnasse-Gahot, S. Lanteri, J. Diaz, H. Calandra.
  
  Performance comparison of HDG and classical DG method for the simulation of seismic wave propagation in harmonic domain, October 2014, Journées Total-Mathias 2014.
  
  https://hal.inria.fr/hal-01096318
• 67J. Luquel, H. Barucq, J. Diaz, H. Calandra.
  
  Imaging of complex media with elastic wave equations, May 2014, SIAM Conference on IMAGING SCIENCE.
  
  https://hal.inria.fr/hal-01096620

References in notes

• 68C. Agut, J. Diaz.
  
  Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation., in: ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2013, vol. 47(3), pp. 903-932.
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  Introduction and study of fourth order theta schemes for linear wave equations, in: Journal of Computational and Applied Mathematics, January 2013, vol. 245, pp. 194-212. [ DOI : 10.1016/j.cam.2012.12.023 ]
  
  https://hal.inria.fr/hal-00873048
• 73B. Cockburn, J. Gopalakrishnan, R. Lazarov.
  
  Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems, in: SIAM Journal on Numerical Analysis, 2009, vol. 47, n^o 2, pp. 1319–1365.
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• 78M. Grigoroscuta-Strugaru, M. Amara, H. Calandra, R. Djellouli.
  
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