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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, no 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, no 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, no 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, no 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, no 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, no 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, no 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, no 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, no 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, no 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, no 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, no 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, no 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, no 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, no RR-8163, 32 p.

    http://hal.inria.fr/hal-00763181

Scientific Popularization

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, no RR-7331, 34 p.

    http://hal.inria.fr/inria-00497627/en
  • 81T. Arbogast, S. Minkoff, P. Keenan..

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  • 85M. A. Dablain.

    The application of high-order differencing to the scalar wave equation, in: Geophysics, 1986, vol. 51, no 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, no 6, pp. 1149-1176.

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  • 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, no 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, no 2, 335 p.
  • 900. Korostyshevskaya, S. Minkoff.

    A matrix analysis of operator-based upscaling for the wave equation, in: SIAM J. Number. Anal., 2006, vol. 44, pp. 586–612.
  • 91M. 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: Geophys. J. Int., 2006, vol. 166, no 2, pp. 855-877.

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