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 ]
  http://hal.inria.fr/inria-00418317/en
• 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.
  http://hal.inria.fr/inria-00527273/en
• 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, 2014, to appear.
  http://hal.inria.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

• 14E. Estecahandy.
  Contribution à l'analyse mathématique et à la résolution numérique d'un problème inverse de scattering élasto-acoustique, Université de Pau et des Pays de l'Adour, September 2013.
  http://hal.inria.fr/tel-00880628

Articles in International Peer-Reviewed Journals

• 15C. 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
• 16L. 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 ]
  http://hal.inria.fr/hal-00909577
• 17H. 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
• 18H. Barucq, R. Djellouli, E. Estecahandy.
  Characterization of the Fréchet 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
• 19H. 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, To appear.
  http://hal.inria.fr/hal-00931852
• 20H. 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 ]
  http://hal.inria.fr/hal-00903365
• 21A. Bendali, M. Fares, E. Piot, S. Tordeux.
  Mathematical justification of the Rayleigh conductivity model for perforated plates in acoustics, in: SIAM Journal on Applied Mathematics, February 2013, vol. 73, n^o 1, pp. 438-459. [ DOI : 10.1137/120867123 ]
  http://hal.inria.fr/hal-00860712
• 22J. Chabassier, A. Chaigne, P. Joly.
  Time domain simulation of a piano. Part 1 : model description, in: ESAIM: Mathematical Modelling and Numerical Analysis, November 2013, pp. 1-20. [ DOI : 10.1051/m2an/2013136 ]
  http://hal.inria.fr/hal-00913775
• 23J. 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
• 24J. Chabassier, P. Joly, A. Chaigne.
  Modeling and simulation of a grand piano, in: Journal of the Acoustical Society of America, July 2013, vol. 134, 648 p. [ DOI : 10.1121/1.4809649 ]
  http://hal.inria.fr/hal-00873089
• 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, August 2013. [ DOI : 10.1002/mma.2947 ]
  http://hal.inria.fr/hal-00779067
• 26P. 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, 2014, in print.
  http://hal.inria.fr/hal-00869987
• 27M. Duruflé, V. Péron, C. Poignard.
  Thin Layer Models For Electromagnetism, in: Communications in Computational Physics, 2014, in print.
  http://hal.inria.fr/hal-00918634
• 28S. 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, to appear.
  http://hal.inria.fr/hal-00769393
• 29S. Laurens, S. Tordeux, A. Bendali, M. Fares, P. R. Kotiuga.
  Lower and upper bounds for the Rayleigh conductivity of a perforated plate, in: ESAIM: Mathematical Modelling and Numerical Analysis, November 2013, vol. 47, n^o 6, pp. 1691-1712. [ DOI : 10.1051/m2an/2013082 ]
  http://hal.inria.fr/hal-00686438
• 30S. Laurens, S. Tordeux.
  Explicit computation of the electrostatic energy for an elliptical charged disc, in: Applied Mathematics Letters, February 2013, vol. 26, n^o 2, pp. 301-305. [ DOI : 10.1016/j.aml.2012.09.013 ]
  http://hal.inria.fr/hal-00723234
• 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.
  http://hal.inria.fr/hal-00925643

Invited Conferences

• 32M. Amara, J. Diaz, R. Djellouli.
  Mesh Free Frontier-based Formulation for Helmholtz Problems, in: Congrès de Mathématiques Appliquées en l'honneur de Mohamed Amara, Alger, Algeria, Laboratoire d'EDP Non Linéaires, ENS-Kouba, 2013.
  http://hal.inria.fr/hal-00924026
• 33H. Barucq.
  Mathematical and numerical seismic imaging based on high-order schemes, in: Journée Ondes et problèmes inverses en géophysique, Paris, France, SMAI, 2013, organisée dans le cadre de l'année "Mathématiques pour la Planète Terre".
  http://hal.inria.fr/hal-00924046
• 34H. Barucq, H. Calandra, J. Diaz, F. Ventimiglia.
  Méthodes d'ordre élevé pour l'imagerie sismique mathématique, in: Haute Fréquence, Nancy, France, March 2013.
  http://hal.inria.fr/hal-00925578
• 35H. Barucq, H. Calandra, J. Diaz, F. Ventimiglia.
  On the use of high-order schemes for seismic imaging, in: Valparaíso Numérico IV : Séptimo Encuentro de Análisis Numérico de Ecuaciones Diferenciales Parciales, Valparaiso, Chile, Pontificia Universidad Católica de Valparaíso, 2013.
  http://hal.inria.fr/hal-00924039
• 36H. Barucq, R. Djellouli, E. Estecahandy.
  Shape reconstruction of non-convex elastic scatterers using a regularized Newton-type method, in: JSA 2013 - MC'65 - Journées Singulières Augmentées 2013, Conférence en l'honneur de Martin Costabel pour ses 65 ans, Rennes, France, August 2013.
  http://hal.inria.fr/hal-00880497
• 37A. Chaigne, J. Chabassier, N. Burban.
  Acoustics of pianos: physical modeling, simulations and experiments, in: SMAC 2013 - Stockholm Music Acoustics Conference 2013, Stockholm, Sweden, KTH Royal Institute of Technology, July 2013.
  http://hal.inria.fr/hal-00873639
• 38M. Dauge, P. Dular, L. Krähenbühl, V. Péron, R. Perrussel, C. Poignard.
  Corner Asymptotics of the Magnetic Potential in the Eddy-Current Model, in: JSA - Journées Singulières Augmentées, Rennes, France, 2013.
  http://hal.inria.fr/hal-00931735
• 39J. Diaz, V. Mattesi, S. Tordeux.
  Equivalent source modelling of small heterogeneities in the context of 3D time-domain wave propagation equation, in: TAMTAM 2013, Sixième colloque sur les Tendances dans les Applications Mathématiques en Tunisie, Algérie, Maroc, Alger, Algeria, 2013.
  http://hal.inria.fr/hal-00925359
• 40J. Diaz, V. Mattesi, S. Tordeux.
  Small heterogeneities in the context of time domain wave equation, in: Journées Singulières Augmentées, Rennes, France, August 2013.
  http://hal.inria.fr/hal-00927377
• 41S. Kabanikhin, V. Popie, M. Shishlenin, S. Tordeux.
  Determination of the impedance of a multiperforated plate: an inverse problem, in: Fifth International Scientific Conference and Young Scientists School "Theory and Computational Methods for Inverse and Ill-posed Problems, Novosibrisk, Russian Federation, October 2013.
  http://hal.inria.fr/hal-00932483
• 42S. Tordeux.
  Equivalent source modelling of small heterogeneities in the context of 3D time-domain wave propagation equation, in: Theory and Computational Methods for Inverse and Ill-posed Problems, Novosibrisk, Russian Federation, October 2013.
  http://hal.inria.fr/hal-00927515

International Conferences with Proceedings

• 43M. Amara, S. Chaudry, J. Diaz, R. Djellouli, S. Fiedler.
  Local Basis Set Optimization to Efficiently Solve Helmholtz Problems, in: WAVES 13 : 11th International Conference on Mathematical and Numerical Aspects of Waves, Gammarth, Tunisia, ENIT Lamsin, 2013, pp. 355-356.
  http://hal.inria.fr/hal-00927044
• 44M. Amara, J. Diaz, R. Djellouli.
  Mesh Free Frontier-Based Formulation (MF3) for High Frequency Helmholtz Problems, in: COMPDYN 2013 : 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Kos, Greece, 2013.
  http://hal.inria.fr/hal-00924012
• 45H. Barucq, C. Bekkey, J. Diaz.
  Performance assesment of a fractional radiation boundary condition for the Helmholtz equation, in: WAVES 13 : 11th International Conference on Mathematical and Numerical Aspects of Waves, Gammarth, Tunisia, ENIT Lamsin, 2013, pp. 291-292.
  http://hal.inria.fr/hal-00923995
• 46H. Barucq, H. Calandra, J. Diaz, F. Ventimiglia.
  High-Order Explicit Time Scheme for Simulation of Wave Propagation, in: HOSCAR - 3rd Brazil-French workshop on High performance cOmputing and SCientific dAta management dRiven by highly demanding applications (Inria-CNPq), Bordeaux, France, 2013.
  http://hal.inria.fr/hal-00929904
• 47H. 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, Tunis, Tunisia, June 2013.
  http://hal.inria.fr/hal-00873633
• 48H. Barucq, J. Diaz, M. Tlemcani.
  Perfectly Matched Layers for linearized and non linear Shallow Water equation, in: WAVES 13 : 11th International Conference on Mathematical and Numerical Aspects of Waves, Gammarth, Tunisia, ENIT Lamsin, 2013, pp. 297-298.
  http://hal.inria.fr/hal-00923939
• 49H. Barucq, J. Diaz, F. Ventimiglia, H. Calandra.
  High-Order Time Discretization Of The Wave Equation By Nabla-P Scheme, in: SMAI 2013, Seignosse, France, 2014, Under Revision for submission.
  http://hal.inria.fr/hal-00924030
• 50H. Barucq, R. Djellouli, E. Estecahandy.
  A regularized Newton method for the solution of an inverse obstacle scattering problem in fluid-solid interaction, in: COMPDYN 2013 - 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering - 2013, Kos, Greece, June 2013.
  http://hal.inria.fr/hal-00842176
• 51H. Barucq, M. Gander, Y. Xu.
  On the influence of curvature on transmission conditions, in: Decomposition Methods in Science and Engineering XXI, Rennes, France, Springer-Verlag, 2013.
  http://hal.inria.fr/hal-00925567
• 52J. Chabassier, A. Chaigne, M. Durufle, P. Joly.
  Modeling the piano. Numerical Aspects, in: WAVES 13 : 11th International Conference on Mathematical and Numerical Aspects of Waves, Tunis, Tunisia, June 2013.
  http://hal.inria.fr/hal-00873629
• 53J. Chabassier, S. Imperiale.
  Dispersion analysis of improved time discretization for simply supported prestressed Timoshenko systems. Application to the stiff piano string, in: WAVES 13 : 11th International Conference on Mathematical and Numerical Aspects of Waves, tunis, Tunisia, June 2013.
  http://hal.inria.fr/hal-00873632
• 54A. Chaigne, J. Chabassier, P. Joly.
  Modeling the grand piano, in: WAVES 13 : 11th International Conference on Mathematical and Numerical Aspects of Waves, Tunis, Tunisia, June 2013.
  http://hal.inria.fr/hal-00873616
• 55J. Diaz, V. Péron.
  Equivalent Conditions for Elasto-Acoustics, in: Waves 2013: The 11th International Conference on Mathematical and Numerical Aspects of Waves, Gammarth, Tunisia, June 2013, pp. 345-346.
  http://hal.inria.fr/hal-00842571
• 56P. Dular, V. Péron, L. Krähenbühl, C. Geuzaine.
  Progressive Eddy Current modeling via a finite element subproblem method, in: ISEF'2013, Ohrid, Macedonia, The Former Yugoslav Republic Of, September 2013.
  http://hal.inria.fr/hal-00917282
• 57P. Dular, V. Péron, R. Perrussel, L. Krähenbühl, C. Geuzaine.
  Perfect Conductor and Impedance Boundary Condition Corrections via a Finite Element Subproblem Method, in: Compumag, Budapest, Hungary, June 2013, 866 p.
  http://hal.inria.fr/hal-00807078
• 58V. Mattesi, S. Tordeux.
  Equivalent source modelling of small heterogeneities in the context of 3D time-domain wave propagation equation, in: Waves 2013, Gammarth, Tunisia, June 2013.
  http://hal.inria.fr/hal-00910181

Conferences without Proceedings

• 59H. Barucq.
  Some Mathematical and Numerical Aspects on the Solution of Inverse Elasto-Acoustic Problems, in: Congrès de Mathématiques Appliquées en l'honneur de Mohamed Amara, Alger, Algeria, Laboratoire d'EDP Non Linéaires, ENS-Kouba, 2013.
  http://hal.inria.fr/hal-00924032
• 60H. Barucq, H. Calandra, T. Chaumont Frelet, C. Gout.
  The Multiscale Hybrid Mixed Method for the Helmholtz Equation, in: HOSCAR - 3rd Brazil-French workshop on High performance cOmputing and SCientific dAta management dRiven by highly demanding applications (Inria-CNPq) (2013), Bordeaux, France, September 2013.
  http://hal.inria.fr/hal-00930139
• 61H. Barucq, H. Calandra, J. Diaz, F. Ventimiglia.
  High Order Time Discretization Of The Wave Equation By Nabla-P Scheme. Application to the Reverse Time Migration, in: WAVES 2013, Gammarth, Tunisia, June 2013.
  http://hal.inria.fr/hal-00924172
• 62H. Barucq, J. Diaz, F. Ventimiglia, H. Calandra.
  High-Order Time Scheme Of The Wave Equation Using Nabla-P Scheme, in: Mathias 2013, PARIS, France, October 2013.
  http://hal.inria.fr/hal-00924013
• 63H. Barucq, R. Djellouli, E. Estecahandy.
  Une méthode de Newton régularisée pour la solution d'un problème inverse de type élasto-acoustique, in: Congrès SMAI 2013 - 6e Biennale Française des Mathématiques Appliquées et Industrielles, Seignosse, France, May 2013.
  http://hal.inria.fr/hal-00842180
• 64L. Boillot, E. Agullo, H. Barucq, G. Bosilca, H. Calandra, J. Diaz.
  Optimized propagators for elastic waves with anisotropy Part 1: Applied Mathematics Part 2: High-Performance Computing, in: XSEDE – International Summer School on HPC Challenges in Computational Sciences (PRACE workshop), New York, United States, June 2013.
  http://hal.inria.fr/hal-00868169
• 65L. Boillot, E. Agullo, G. Bosilca, H. Calandra.
  3D Geophysics over a runtime system on a ccNUMA machine, in: MATHIAS - TOTAL Symposium on Mathematics, Paris, France, October 2013.
  http://hal.inria.fr/hal-00877316
• 66L. Boillot, E. Agullo, G. Bosilca, H. Calandra.
  Combining recent HPC techniques for 3D geophysics acceleration, in: 2nd ECCOMAS Young Investigators Conference (YIC 2013), Bordeaux, France, September 2013.
  http://hal.inria.fr/hal-00855878
• 67L. Boillot, H. Barucq, H. Calandra, J. Diaz.
  Absorbing Boundary Conditions for anisotropic elastic media, in: SMAI – Congrès, 6e Biennale Française de la Société de Mathématiques Appliquées et Industrielles, Seignosse, France, May 2013, Poster.
  http://hal.inria.fr/hal-00868189
• 68L. Boillot, H. Barucq, H. Calandra, J. Diaz.
  Absorbing Boundary Conditions for Tilted Transverse Isotropic waves in Reverse Time Migration context, in: Waves – International Conference on Mathematical and Numerical Aspects of Waves, Gammarth, Tunisia, June 2013.
  http://hal.inria.fr/hal-00868135
• 69L. Boillot, H. Barucq, H. Calandra, J. Diaz.
  Combining recent HPC techniques for 3D geophysics acceleration, in: HOSCAR - 3rd Brazil-French workshop on High performance cOmputing and SCientific dAta management dRiven by highly demanding applications (Inria-CNPq), Bordeaux, France, September 2013.
  http://hal.inria.fr/hal-00868152

Scientific Books (or Scientific Book chapters)

• 70J. Chabassier.
  Le piano rêvé des mathématiciens, in: Mathématiques: l'explosion continue, M. J. Esteban, B. Helffer, J.-M. Poggi (editors), FSMP ; SFdS ; SMAI ; SMF, November 2013, pp. 143-148.
  http://hal.inria.fr/hal-00913685

Internal Reports

• 71M. Amara, S. Chaudry, J. Diaz, R. Djellouli, S. Fiedler.
  A Local Wave Tracking Strategy for Efficiently Solving Mid- and High-Frequency Helmholtz Problems, Inria, 2013, n^o RR-8364, 47 p.
  http://hal.inria.fr/hal-00861988
• 72H. Barucq, J. Diaz, V. Duprat.
  Long-term stable acoustic absorbing boundary conditions for regular-shaped surfaces, Inria, January 2013, n^o RR-8203, 34 p.
  http://hal.inria.fr/hal-00776058
• 73J. Chabassier, M. Durufle.
  Energy based simulation of a Timoshenko beam in non-forced rotation. Application to the flexible piano hammer shank, Inria, January 2014, n^o RR-8450, 24 p.
  http://hal.inria.fr/hal-00929938
• 74V. Péron.
  Equivalent Boundary Conditions for an Elasto-Acoustic Problem set in a Domain with a Thin Layer, Inria, June 2013, n^o RR-8163, 32 p.
  http://hal.inria.fr/hal-00763181

Scientific Popularization

• 75J. Chabassier.
  Simuler le son d'un piano, in: Mathématiques de la planète Terre 2013, June 2013.
  http://hal.inria.fr/hal-00913678
• 76J. Diaz.
  Jeter un œil " Au centre de la Terre ", in: Mathématiques de la planète Terre 2013, "Un jour, une brève", 2013.
  http://hal.inria.fr/hal-00924636
• 77J. Diaz.
  Prospection pétrolière : le sous-sol révélé, in: TDC (Textes et Documents pour la Classse), October 2013, n^o 1062, pp. 32-33.
  http://hal.inria.fr/hal-00904018

Other Publications

• 78M. Bonnasse-Gahot, S. Lanteri, J. Diaz, H. Calandra.
  Discontinuous Galerkin methods for solving Helmholtz isotropic wave equations for seismic applications, in: HOSCAR - 3rd Brazil-French workshop on High performance cOmputing and SCientific dAta management dRiven by highly demanding applications (Inria-CNPq), Bordeaux, France, September 2013.
  http://hal.inria.fr/hal-00929971
• 79J. Chabassier, M. Duruflé.
  Energy based simulation of a Timoshenko beam in non-forced rotation. Application to the flexible piano hammer shank, 2013, submitted to Journal of Sound and Vibration.
  http://hal.inria.fr/hal-00918635

References in notes

• 80C. Agut, J. Diaz.
  New high order schemes based on the modified equation technique for solving the wave equation, Inria, July 2010, n^o RR-7331, 34 p.
  http://hal.inria.fr/inria-00497627/en
• 81T. Arbogast, S. Minkoff, P. Keenan..
  An operator-based approach to upscaling the pressure equation, in: Computational methods in water resources, 1998, vol. XII, pp. 405–412.
• 82E. Baysal, D. D. Kosloff, J. W. C. Sherwood.
  Reverse-time migration, in: Geophysics, 1983, vol. 48, pp. 1514-1524.
• 83J. F. Claerbout.
  Toward a unified theory of reflector mapping, in: Geophysics, 1971, vol. 36, n^o 3, pp. 467–481.
• 84B. 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.
• 85M. A. Dablain.
  The application of high-order differencing to the scalar wave equation, in: Geophysics, 1986, vol. 51, n^o 1, pp. 54-66.
• 86R. Djellouli, C. Farhat, R. Tezaur.
  On the solution of three-dimensional inverse obstacle acoustic scattering problems by a regularized Newton method, in: Inverse Problems, 2002, vol. 18, pp. 1229–1246.
• 87L. Fezoui, S. Lanteri, S. Lohrengel, S. Piperno.
  Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes, in: ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, 2005, vol. 39, n^o 6, pp. 1149-1176.
  http://eudml.org/doc/244803
• 88A. Griewank, A. Walther.
  Algorithm 799: revolve: an implementation of checkpointing for the reverse or adjoint mode of computational differentiation, in: ACM Transactions on Mathematical Software (TOMS), 2000, vol. 26, n^o 1, pp. 19–45.
• 89M. Grigoroscuta-Strugaru, M. Amara, H. Calandra, R. Djellouli.
  A Modified Discontinuous Galerkin Method for Solving Efficiently Helmholtz Problems, in: Communications in Computational Physics, 2012, vol. 11, n^o 2, 335 p.
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