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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, 2012, To appear.

    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, p. 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, p. 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, p. 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, 2012, To appear.

    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, p. 58–72. [ 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, p. 189-216.

    http://hal.inria.fr/inria-00527273/en
  • 9H. 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, p. 109-115.

    http://hal.inria.fr/hal-00760458
  • 10F. Buret, M. Dauge, P. Dular, L. Krähenbühl, V. Péron, R. Perrussel, C. Poignard, D. Voyer.

    Eddy currents and corner singularities, in: IEEE Transactions on Magnetics, January 2012, vol. 48, no 2, p. 679-682. [ DOI : 10.1109/TMAG.2011.2175378 ]

    http://hal.inria.fr/inria-00614033
  • 11J. Diaz, M. J. Grote.

    Energy Conserving Explicit Local Time-Stepping for Second-Order Wave Equations, in: SIAM Journal on Scientific Computing, 2009, vol. 31, no 3, p. 1985-2014.

    http://hal.inria.fr/inria-00409233/en/
  • 12R. Madec, D. Komatitsch, J. Diaz.

    Energy-conserving local time stepping based on high-order finite elements for seismic wave propagation across a fluid-solid interface, in: Computer Modeling in Engineering and Sciences, 2009, vol. 49, no 2, p. 163-189.

    http://hal.inria.fr/inria-00436429/en/
  • 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, p. 116-123.

    http://hal.inria.fr/hal-00760457
Publications of the year

Doctoral Dissertations and Habilitation Theses

  • 14S. Tordeux.

    Modélisation asymptotique pour les problèmes de propagation d'ondes, Université de Pau et des Pays de l'Adour, January 2012, Habilitation à Diriger des Recherches.

    http://hal.inria.fr/tel-00760447

Articles in International Peer-Reviewed Journals

  • 15M. Abdelwahed, M. Amara.

    Numerical Analysis of a two phase flow model, in: International Journal of Computational Methods, 2012, vol. 9, no 3.

    http://hal.inria.fr/hal-00768459
  • 16C. Agut, J. Diaz.

    Stability analysis of the interior penalty discontinuous galerkin method for the wave equation, in: ESAIM: Mathematical Modelling and Numerical Analysis, 2012, To appear.

    http://hal.inria.fr/hal-00759457
  • 17C. Agut, J. Diaz, A. Ezziani.

    High-Order Schemes Combining the Modified Equation Approach and Discontinuous Galerkin Approximations for the Wave Equation, in: Communications in Computational Physics, February 2012, vol. 11, no 2, p. 691-708. [ DOI : 10.4208/cicp.311209.051110s ]

    http://hal.inria.fr/hal-00646421
  • 18M. 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, no 2, p. 335–350.

    http://hal.inria.fr/hal-00768457
  • 19M. 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, p. 258-272.

    http://hal.inria.fr/hal-00768455
  • 20C. Baldassari, H. Barucq, H. Calandra, B. Denel, J. Diaz.

    Performance Analysis of a High-Order Discontinuous GalerkinMethod. Application to the Reverse Time Migration, in: Communications in Computational Physics, January 2012, vol. 11, no 2, p. 660-673. [ DOI : 10.4208/cicp.291209.171210s ]

    http://hal.inria.fr/hal-00643334
  • 21H. 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, p. 647-659. [ DOI : 10.4208/cicp.281209.150610s ]

    http://hal.inria.fr/inria-00527346
  • 22H. 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
  • 23H. 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, 2012, To appear.

    http://hal.inria.fr/hal-00759451
  • 24H. Barucq, J. Diaz, V. Duprat.

    Micro-differential boundary conditions modelling the absorption of acoustic waves by 2D arbitrarily-shaped convex surfaces, in: Communications in Computational Physics, 2012, vol. 11, no 2, p. 674-690. [ DOI : 10.4208/cicp.311209.051110s, X-INTERNATIONAL-AUDIENCE = yes, X-EDITORIAL-BOARD = yes ]

    http://hal.inria.fr/hal-00649837
  • 25H. Barucq, R. Djellouli, A.-G. Dupouy Saint-Guirons.

    Exponential decay of high-order spurious prolate spheroidal modes induced by a local approximate DtN exterior boundary condition, in: Progress In Electromagnetics Research B, 2012, vol. 37, p. 1-19.

    http://hal.inria.fr/hal-00646972
  • 26H. 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, p. 109-115.

    http://hal.inria.fr/hal-00760458
  • 27A. Bendali, M. Fares, S. Laurens, S. Tordeux.

    Numerical study of acoustic multiperforated plates, in: ESAIM: Proceedings, September 2012, vol. 37, p. 166-177. [ DOI : 10.1051/proc/201237005 ]

    http://hal.inria.fr/hal-00686434
  • 28F. Buret, M. Dauge, P. Dular, L. Krähenbühl, V. Péron, R. Perrussel, C. Poignard, D. Voyer.

    Eddy currents and corner singularities, in: IEEE Transactions on Magnetics, January 2012, vol. 48, no 2, p. 679-682. [ DOI : 10.1109/TMAG.2011.2175378 ]

    http://hal.inria.fr/inria-00614033
  • 29J. Chabassier.

    Stability and dispersion analysis of improved time discretization for simply supported prestressed Timoshenko systems. Application to the stiff piano string., in: Wave Motion, November 2012. [ DOI : 10.1016/j.wavemoti.2012.11.002 ]

    http://hal.inria.fr/hal-00757096
  • 30M. Fares, A. Tizaoui, S. Tordeux.

    Matched Asymptotic Expansions of the Eigenvalues of a 3-D boundary-value problem relative to two cavities linked by a hole of small size, in: Communications in Computational Physics, 2012, vol. 11, no 2, p. 456-471.

    http://hal.inria.fr/hal-00644699
  • 31H. N. Gharti, D. Komatitsch, V. Oye, R. Martin, J. Tromp.

    Application of an elastoplastic spectral-element method to 3D slope stability analysis, in: Int. J. Numer. Meth. Engng, 2012, vol. 91, no 1, p. 1-26. [ DOI : 10.1002/nme.3374 ]

    http://hal.inria.fr/hal-00617253
  • 32S. Laurens, S. Tordeux.

    Explicit computation of the electrostatic energy for an elliptical charged disc., in: Applied Mathematics Letters, February 2013, vol. 26, no 2, p. 301-305. [ DOI : 10.1016/j.aml.2012.09.013 ]

    http://hal.inria.fr/hal-00723234
  • 33S. 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, p. 116-123.

    http://hal.inria.fr/hal-00760457

Invited Conferences

  • 34C. Agut, J. Diaz.

    Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation, in: Conference on Frontiers in Applied and Computational Mathematics, Newark, United States, 2012.

    http://hal.inria.fr/hal-00748782

International Conferences with Proceedings

  • 35L. Boillot, H. Barucq, H. Calandra, J. Diaz.

    Absorbing Boundary Conditions for anisotropic elastodynamic media, in: Acoustics - Congrès Français d'Acoustique & Institute Of Acoustics, NANTES, France, April 2012, vol. CD, p. 1703-1708, ISBN: 978-2-919340-01-9.

    http://hal.inria.fr/hal-00764209
  • 36M. Dauge, P. Dular, L. Krähenbühl, V. Péron, R. Perrussel, C. Poignard.

    Asymptotic Description of the Magnetic Potential near a Corner Singularity in the Bidimensional Eddy-Current Problem, in: WCCM 2012, Sao Paulo, Brazil, July 2012.

    http://hal.inria.fr/hal-00768026

Conferences without Proceedings

  • 37M. Amara, S. Chaudhry, J. Diaz, R. Djellouli, S. Fiedler.

    Efficient solution methodology based on a local wave tracking strategy for high-frequency Helmholtz problems, in: 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), Vienna, Austria, 2012.

    http://hal.inria.fr/hal-00765537
  • 38H. Barucq, H. Calandra, J. Diaz, F. Ventimiglia.

    High Order Schemes For The First Order Wave Equation. Application to the Reverse Time Migration, in: Workshop DIP Total/Inria, Pau, France, April 2012.

    http://hal.inria.fr/hal-00764207
  • 39H. Barucq, H. Calandra, J. Diaz, F. Ventimiglia.

    High order time discretization of the wave equation by nabla-p schemes., in: Aquitanie-Euskadi Workshop on Applied Mathematics (Aquitanie-Euskadi 2012), Biarritz, France, October 2012.

    http://hal.inria.fr/hal-00764188
  • 40H. Barucq, H. Calandra, J. Diaz, F. Ventimiglia.

    High order time scheme for the first order wave equation using nabla-p scheme. Application to the Reverse Time Migration., in: Symposium MATHIAS 2012, Paris, France, October 2012.

    http://hal.inria.fr/hal-00764222
  • 41H. Barucq, J. Diaz, H. Calandra, F. Ventimiglia.

    High Order Schemes and Local Time Stepping for Solving Elastodynamic Wave Equation in Strongly Heterogeneous Media., in: First Russian-French Conference on Mathematical Geophysics, Mathematical Modeling in Continuum Mechanics and Inverse Problems, Biarritz, France, June 2012.

    http://hal.inria.fr/hal-00764181
  • 42H. Barucq, R. Djellouli, E. Estecahandy.

    On the reconstruction of an elastic scatterer immersed in a homogeneous fluid, in: First Russian-French Conference on Mathematical Geophysics, Mathematical Modeling in Continuum Mechanics and Inverse Problems, Biarritz, France, June 2012.

    http://hal.inria.fr/hal-00764176
  • 43H. Barucq, R. Djellouli, E. Estecahandy.

    On the solution of an inverse obstacle problem in fluid-solid interaction: connection with the direct scattering problem, in: Aquitanie-Euskadi Workshop on Applied Mathematics, Biarritz, France, October 2012.

    http://hal.inria.fr/hal-00764185
  • 44H. Barucq, R. Djellouli, E. Estecahandy.

    On the solution of inverse obstacle elasto-acoustic scattering problems by a regularized Newton method, in: ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, Vienna, Austria, September 2012.

    http://hal.inria.fr/hal-00765547
  • 45L. Boillot, H. Barucq, H. Calandra, J. Diaz.

    Absorbing Boundary Conditions for anisotropic elastodynamic media, in: 1st Russian-French Conference on Mathematical Geophysics, Mathematical Modeling in Continuum Mechanics and Inverse Problems, BIARRITZ, France, June 2012.

    http://hal.inria.fr/hal-00764192
  • 46L. Boillot, H. Barucq, H. Calandra, J. Diaz.

    Absorbing Boundary Conditions for anisotropic elastodynamic media, in: HOSCAR - 1st Brazil-French workshop on High performance cOmputing and SCientific dAta management dRiven by highly demanding applications (Inria-CNPq), SOPHIA ANTIPOLIS, France, July 2012.

    http://hal.inria.fr/hal-00764196
  • 47L. Boillot, H. Barucq, H. Calandra, J. Diaz.

    Absorbing Boundary Conditions for anisotropic elastodynamic media, in: ICOSAHOM - International Conference on Spectral and High Order Methods, Gammarth, Tunisia, June 2012.

    http://hal.inria.fr/hal-00767597
  • 48L. Boillot, H. Barucq, H. Calandra, J. Diaz.

    Optimized propagators for elastic waves in anisotropic (TTI) media Part 1: Absorbing Boundary Conditions (ABC), in: MATHIAS - TOTAL Symposium on Mathematics, PARIS, France, October 2012.

    http://hal.inria.fr/hal-00764202
  • 49L. Boillot, H. Barucq, H. Calandra, J. Diaz.

    Optimized propagators for elastic waves in anisotropic (TTI) media Part 1: Absorbing Boundary Conditions (ABC), in: Aquitaine-Euskadi Workshop on Applied Mathematics (Inria-BCAM), BIARRITZ, France, October 2012.

    http://hal.inria.fr/hal-00764206
  • 50L. Boillot, H. Barucq, H. Calandra, J. Diaz.

    Parallel optimization of a Discontinuous Galerkin method for seismic imaging simulation. Towards the Intel MIC acceleration., in: HOSCAR - 1st (bis)Brazil-French workshop on High performance cOmputing and SCientific dAta management dRiven by highly demanding applications (Inria-CNPq), PETROPILIS, Brazil, September 2012.

    http://hal.inria.fr/hal-00764200
  • 51L. Boillot, H. Barucq, J. Diaz, H. Calandra.

    Absorbing Boundary Conditions for anisotropic elastodynamic media, in: Workshop DIP - Depth Imaging Partnership (Inria-TOTAL), PAU, France, April 2012.

    http://hal.inria.fr/hal-00764186
  • 52V. Péron.

    Asymptotic Models for an Elasto-Acoustic Problem with a Thin Layer, in: Twelfth International Conference Zaragoza-Pau on Mathematics, Jaca, Spain, September 2012.

    http://hal.inria.fr/hal-00768042
  • 53V. Péron.

    Construction and Analysis of Equivalent Models for Fluid-Structure Coupling with a Thin Layer, in: Aquitaine-Euskadi Workshop on Applied Mathematics, Bilbao, Spain, June 2012.

    http://hal.inria.fr/hal-00768032
  • 54V. Péron.

    Equivalent Conditions for an Elasto-Acoustic Problem with a Thin Layer, in: First Russian-French Conference on Mathematical Geophysics, Mathematical Modeling in Continuum Mechanics and Inverse Problems, Biarritz, France, June 2012.

    http://hal.inria.fr/hal-00768036
  • 55V. Péron.

    Equivalent Conditions for an Elasto-Acoustic Problem with a Thin Layer, in: Workshop HPC-GA, Porto Alegre, Brazil, July 2012.

    http://hal.inria.fr/hal-00768041
  • 56S. Tordeux.

    Absorbing Boundary Conditions for an Elongated Body, in: Aquitaine-Euskadi Workshop on Applied Mathematics, BILBAO, Spain, BCAM, 2012.

    http://hal.inria.fr/hal-00760463
  • 57S. Tordeux.

    Absorbing Boundary Conditions for an Elongated Body, in: Theory and Computational Methods for Inverse and Ill-posed Problems, Novosibirsk, Russian Federation, 2012.

    http://hal.inria.fr/hal-00760466
  • 58S. Tordeux.

    Eigenvalue Solver Based on an Integral Equation Formulation, in: Inverse and Ill-Posed Problems of Mathematical Physics, dedicated to the 80th anniversary of the birthday of Academician M. M. Lavrent'ev, Novosibirsk, Russian Federation, 2012.

    http://hal.inria.fr/hal-00760464
  • 59S. Tordeux.

    Eigenvalue Solver Based on an Integral Equation Formulation, in: Jaca, Jaca, Spain, 2012.

    http://hal.inria.fr/hal-00760467

Internal Reports

  • 60J. Chabassier, A. Chaigne, P. Joly.

    Modeling and simulation of a grand piano., Inria, December 2012, no RR-8181, 29 p.

    http://hal.inria.fr/hal-00768234
  • 61J. Chabassier, A. Chaigne, P. Joly.

    Time domain simulation of a piano. Part 1 : model description., Inria, October 2012, no RR-8097.

    http://hal.inria.fr/hal-00739380
  • 62J. Chabassier, M. Durufle.

    Physical parameters for piano modeling, Inria, April 2012, no RT-0425, 24 p.

    http://hal.inria.fr/hal-00688679
  • 63J. Chabassier, S. Imperiale.

    Introduction and study of fourth order theta schemes for linear wave equations, Inria, October 2012, no RR-8090, 31 p.

    http://hal.inria.fr/hal-00738324
  • 64J. Chabassier, S. Imperiale.

    Stability and dispersion analysis of improved time discretization for simply supported prestressed Timoshenko systems. Application to the stiff piano string., Inria, October 2012, no RR-8088, 39 p.

    http://hal.inria.fr/hal-00738233
  • 65V. Péron.

    Equivalent Boundary Conditions for an Elasto-Acoustic Problem with a Thin Layer, Inria, November 2012, no RR-8163, 32 p.

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

Other Publications

References in notes
  • 68C. 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
  • 69M. Ainsworth, P. Monk, W. Muniz.

    Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation, in: Journal of Scientific Computing, 2006, vol. 27.
  • 70X. Antoine, H. Barucq.

    Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering, in: Math. Model. Numer. Anal., 2005, vol. 39, no 5, p. 1041-1059.
  • 71X. Antoine, H. Barucq, L. Vernhet.

    High-frequency asymptotic analysis of a dissipative transmission problem resulting in generalized impedance boundary conditions, in: Asymptotic Analysis, 2001, vol. 3, no 4, p. 257-284.
  • 72D. N. Arnold, F. Brezzi, B. Cockburn, L. D. Marini.

    Unified analysis of discontinuous Galerkin methods for elliptic problems, in: SIAM J. Numer. Anal., 2002, vol. 39, p. 1749–1779.
  • 73C. Baldassari.

    Modélisation et simulation numérique pour la migration terrestre par équation d'ondes, Université de Pau et des Pays de l'Adour, 2009.
  • 74H. Barucq, C. Bekkey, R. Djellouli.

    A Multi-Step Procedure for Enriching Limited Two-Dimensional Acoustic Far-Field Pattern Measurements., Inria, 2009, 30 p, RR-7048.

    http://hal.inria.fr/inria-00420644/en/
  • 75H. 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, p. 189-216.

    http://hal.inria.fr/inria-00527273/en
  • 76E. Baysal, D. D. Kosloff, J. W. C. Sherwood.

    Reverse-time migration, in: Geophysics, 1983, vol. 48, p. 1514-1524.
  • 77D. Colton, R. Kress.

    Inverse acoustic and electromagnetic scattering theory, Applied Mathematical Sciences, Springer Verlag, 1992, no 93.
  • 78M. A. Dablain.

    The application of high-order differencing to the scalar wave equation, in: Geophysics, 1986, vol. 51, no 1, p. 54-66.
  • 79R. 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, p. 1229–1246.
  • 80C. Farhat, I. Harari, U. Hetmaniuk.

    A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime, in: Comput. Methods Appl. Mech. Engrg., 2003, vol. 192, p. 1389-1419.
  • 81C. Farhat, I. Harari, U. Hetmaniuk.

    The discontinuous enrichment method for multiscale analysis, in: Comput. Methods Appl. Mech. Engrg., 2003, vol. 192, p. 3195-3209.
  • 82J. C. Gilbert, P. Joly.

    Higher order time stepping for second order hyperbolic problems and optimal CFL conditions, in: SIAM Numerical Analysis, 2006.
  • 83M. J. Grote, A. Schneebeli, D. Schötzau.

    Discontinuous galerkin finite element method for the wave equation, in: SIAM J. on Numerical Analysis, 2006, vol. 44, p. 2408–2431.
  • 84R. Kress.

    Integral equation methods in inverse acoustic and electromagnetic scattering, in: Boundary Integral Formulation for Inverse Analysis, Inghman, Wrobel (editors), Computational Mechanics Publications, Southampton, 1997, p. 67–92.
  • 85R. Kress, W. Rundell.

    Inverse obstacle scattering using reduced data, in: SIAM J. Appl. Math., 1999, vol. 59, p. 442–454.
  • 86C. Luke, P. Martin.

    Fluid-Solid Interaction: Acoustic Scattering by a Smooth Elastic Obstacle, in: SIAM J. Appl. Math, 1995, vol. 55, p. 904–922.
  • 87C. Morency, J. Tromp.

    Spectral-element simulations of wave propagation in poroelastic media, in: Geophys. J. Int., 2008, vol. 175, p. 301–345.
  • 88R. Ochs.

    The limited aperture problem of inverse acoustic scattering: Dirichlet boundary conditions, in: SIAM J. Appl. Math., 1987, vol. 47, p. 1320–1341.
  • 89J. R. Poirier, A. Bendali, P. Borderies.

    Impedance boundary conditions for the scattering of time-harmonic waves by rapidly varying surfaces, in: IEEE transactions on antennas and propagation, 2006, vol. 54.
  • 90G. R. Shubin, J. B. Bell.

    A modified equation approach to constructing fourth-order methods for acoustic wave propagation, in: SIAM J. Sci. Statist. Comput., 1987, vol. 8, p. 135–151.
  • 91A. Zinn.

    On an optimization method for full-and limited aperture problem in inverse acoustic scattering for sound-soft obstacle, in: Inverse Problem, 1989, vol. 5, p. 239–253.


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