Bibliography
Major publications by the team in recent years
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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, no 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, no 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
Doctoral Dissertations and Habilitation Theses
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9J. Diaz.
Modelling and advanced simulation of wave propagation phenomena in 3D geophysical media, Université de Pau et des Pays de l'Adour, April 2016, Habilitation à diriger des recherches.
https://tel.archives-ouvertes.fr/tel-01304349 -
10A. Erdozain.
Model Reduction Techniques for the Fast Inversion of Borehole Resistivity Measurements, Université de Pau et des Pays de l'Adour, December 2016. -
11V. Popie.
Asymptotic modeling of the acoustic response of perforated plates in a linear case w ith a study of viscous effects, Institut Supérieur de l'Aéronautique et de l'Espace (ISAE), January 2016.
https://hal.archives-ouvertes.fr/tel-01309272
Articles in International Peer-Reviewed Journals
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12H. 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 -
13A. Bendali, P.-H. Cocquet, S. Tordeux.
Approximation by Multipoles of the Multiple Acoustic Scattering by Small Obstacles in Three Dimensions and Application to the Foldy Theory of Isotropic Scattering, in: Archive for Rational Mechanics and Analysis, March 2016, vol. 219, no 3. [ DOI : 10.1007/s00205-015-0915-5 ]
https://hal-univ-tlse3.archives-ouvertes.fr/hal-01258966 -
14E. 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, no 6, pp. 3962 - 3983. [ DOI : 10.1137/15M1043856 ]
https://hal.archives-ouvertes.fr/hal-01407446 -
15M. Bonnet, A. Burel, M. Duruflé, P. Joly.
Effective transmission conditions for thin-layer transmission problems in elastodynamics. The case of a planar layer model, in: ESAIM: Mathematical Modelling and Numerical Analysis, 2016, vol. 50, pp. 43-75. [ DOI : 10.1051/m2an/2015030 ]
https://hal.archives-ouvertes.fr/hal-01144401 -
16J. Chabassier, M. Duruflé, P. Joly.
Time Domain Simulation of a Piano. Part 2 : Numerical Aspects, in: ESAIM: Mathematical Modelling and Numerical Analysis, January 2016, vol. 50, no 1, pp. 93-133, L'article est en cours de revision.
https://hal.archives-ouvertes.fr/hal-01085477 -
17J. Chabassier, S. IMPERIALE.
Space/Time convergence analysis of a class of conservative schemes for linear wave equations, in: Comptes Rendus Mathématique, December 2016.
https://hal.inria.fr/hal-01421882 -
18T. Chaumont-Frelet, H. Barucq, C. Gout.
Stability analysis of heterogeneous Helmholtz problems and finite element solution based on propagation media approximation, in: Mathematics of Computation, 2016.
https://hal.inria.fr/hal-01408934 -
19T. Chaumont-Frelet.
On high order methods for the heterogeneous Helmholtz equation, in: Computers and Mathematics with Applications, August 2016.
https://hal.inria.fr/hal-01408943 -
20J. 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 -
21L. Farina, M. Ferreira, V. Péron.
The Airfoil equation on near disjoint intervals: Approximate models and polynomial solutions, in: Journal of Computational and Applied Mathematics, 2016. [ DOI : 10.1016/j.cam.2015.11.024 ]
https://hal.inria.fr/hal-01253227 -
22V. Péron, K. Schmidt, M. Duruflé.
Equivalent transmission conditions for the time-harmonic Maxwell equations in 3D for a medium with a highly conductive thin sheet, in: SIAM Journal on Applied Mathematics, 2016, vol. 76, no 3, pp. 1031–1052. [ DOI : 10.1137/15M1012116 ]
https://hal.archives-ouvertes.fr/hal-01260111 -
23A. Rodriguez Rozas, J. Diaz.
Non-conforming curved finite element schemes for time-dependent elastic–acoustic coupled problems, in: Journal of Computational Physics, January 2016, vol. 305, pp. 44–62. [ DOI : 10.1016/j.jcp.2015.10.028 ]
https://hal.inria.fr/hal-01255188
International Conferences with Proceedings
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24I. Azpiroz, H. Barucq, J. Diaz, R. Djellouli.
Shape and material parameter reconstruction of an isotropic or anisotropic solid immersed in a fluid , in: Inverse Problems for PDEs, Bremen, Germany, University of Bremen, Germany, March 2016.
https://hal.inria.fr/hal-01408981 -
25H. Barucq, H. Calandra, T. Chaumont-Frelet, C. Gout.
Multiscale Medium Approximation: Application to Geophysical Benchmarks, in: Saint Petersburg 2016 International Conference & Exhibition, Saint Petersbourg, Russia, EAGE, April 2016.
https://hal.inria.fr/hal-01408958 -
26H. Barucq, H. Calandra, J. Diaz, E. Shishenina.
Trefftz-DG Approximation for the Elasto-Acoustics, in: Workshop de DIP, l’action stratégique Inria TOTAL, Houston, United States, October 2016.
https://hal.inria.fr/hal-01416241 -
27H. Barucq, M. Duruflé, M. N'diaye.
A Family of Linear Singly Diagonal Runge-Kutta Methods and High Order Pade's Schemes for ODE, in: Mathias - annual TOTAL seminar on Mathematics, Numerical simulations, Applied Maths, Numerical Methods, HPC, Parallel Programming, Data processing, Optimization, Val d'Europe, France, October 2016.
https://hal.inria.fr/hal-01406653 -
28H. Barucq, M. Duruflé, M. N'diaye.
Efficient high order time schemes for Maxwell's equations, in: ICOSAHOM 2016 - International Conference On Spectral and High Order Methods, Rio de Janeiro, Brazil, June 2016.
https://hal.inria.fr/hal-01403636 -
29H. Barucq, A. Erdozain, D. Pardo, V. Péron.
Impedance Transmission Conditions for the Electric Potential across a Highly Conductive Casing, in: WONAPDE 2016 - Fifth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Concepción, Chile, January 2016.
https://hal.inria.fr/hal-01403347 -
30M. Bonnasse-Gahot, H. Calandra, J. Diaz, S. Lanteri.
Resolution strategy for the Hybridizable Discontinuous Galerkin system for solving Helmholtz elastic wave equations, in: Face to face meeting HPC4E Brazilian-European project, Gramado, Brazil, September 2016.
https://hal.inria.fr/hal-01400643 -
31J. Shi, M. V. de Hoop, F. Faucher, H. Calandra.
Elastic full-waveform inversion with surface and body waves, in: SEG International Exposition and 86th Annual Meeting, Dallas, United States, SEG Technical Program Expanded Abstracts, Society of Exploration Geophysicists (SEG), October 2016, pp. 1120–1124. [ DOI : 10.1190/segam2016-13961828.1 ]
https://hal.archives-ouvertes.fr/hal-01400476
Conferences without Proceedings
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32H. Barucq, E. Beretta, H. Calandra, M. V. de Hoop, F. Faucher, O. Scherzer.
Stability Estimates for the Helmholtz Inverse Problem and Seismic Reconstruction, in: Workshop on Inverse Problems for PDEs, Bremen, Germany, March 2016.
https://hal.archives-ouvertes.fr/hal-01323276 -
33L. Boillot, H. Barucq, J. Diaz, H. Calandra.
Absorbing Boundary Conditions for 3D Elastic TTI Modeling, Application to Time-Based and Time-Harmonic Simulations, in: EAGE Saint Petersburg International Conference & Exhibition, Saint Petersburg, Russia, April 2016.
https://hal.inria.fr/hal-01303391 -
34L. Boillot, C. Rossignon, G. Bosilca, E. Agullo, H. Calandra, H. Barucq, J. Diaz.
Handling clusters with a task-based runtime system: application to Geophysics, in: Rice - Oil & Gas HPC Workshop, HOUSTON, United States, March 2016.
https://hal.inria.fr/hal-01303373 -
35L. Boillot, C. Rossignon, G. Bosilca, E. Agullo, H. Calandra.
Optimizing numerical simulations of elastodynamic wave propagation thanks to task-based parallel programming, in: SIAM Conference on Parallel Processing for Scientific Computing (SIAM PP 2016), Paris, France, April 2016.
https://hal.inria.fr/hal-01303379 -
36M. Bonnasse-Gahot, H. Calandra, J. Diaz, S. Lanteri.
Comparison of solvers performance when solving the 3D Helmholtz elastic wave equations over the Hybridizable Discontinuous Galerkin method, in: MATHIAS – TOTAL Symposium on Mathematics, Paris, France, October 2016.
https://hal.inria.fr/hal-01400663 -
37M. Bonnasse-Gahot, H. Calandra, J. Diaz, S. Lanteri.
Comparison of solvers performance when solving the 3D Helmholtz elastic wave equations using the Hybridizable Discontinuous Galerkin method, in: Workshop DIP - Depth Imaging Partnership, Houston, United States, October 2016.
https://hal.inria.fr/hal-01400656 -
38D. Brito, V. Poydenot, S. Garambois, J. Diaz, C. Bordes, J.-P. Rolando.
Seismic imaging in laboratory trough laser Doppler vibrometry, in: European Geosciences Union General Assembly 2016, Vienne, Austria, April 2016.
https://hal.archives-ouvertes.fr/hal-01313013 -
39F. Faucher, H. Barucq, H. Calandra, M. V. de Hoop.
Full Waveform Inversion for Elastic Medium using Quantitative Lipschitz Stability Estimates, in: EAGE Saint Petersburg 2016 International Conference & Exhibition, St Petersburg, Russia, EAGE, April 2016.
https://hal.archives-ouvertes.fr/hal-01323280 -
40F. Faucher, H. Barucq, M. V. de Hoop, H. Calandra.
Inverse Problem in the Frequency Domain for Subsurface Reconstruction, in: Workshop DIP – Depth Imaging Partnership (Inria-TOTAL),, Houston, United States, October 2016.
https://hal.archives-ouvertes.fr/hal-01400475 -
41R. Perrussel, C. Poignard, V. Péron, R. V. Sabariego, P. Dular, L. Krähenbühl.
Asymptotic expansion for the magnetic potential in the eddy-current problem, in: 10th International Symposium on Electric and Magnetic Fields (EMF 2016), Lyon, France, April 2016.
https://hal.archives-ouvertes.fr/hal-01393362
Internal Reports
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42H. Barucq, J. Chabassier, H. Pham, S. Tordeux.
A study of the numerical robustness of single-layer method with Fourier basis for multiple obstacle scattering in homogeneous media, Inria Bordeaux Sud-Ouest, December 2016, no RR-8988.
https://hal.inria.fr/hal-01408904 -
43H. Barucq, A. Erdozain, V. Péron.
Impedance Transmission Conditions for the Electric Potential across a Highly Conductive Casing, Inria Bordeaux Sud-Ouest, December 2016, no RR-8998.
https://hal.inria.fr/hal-01412369 -
44J. Chabassier, M. Duruflé.
High Order Finite Element Method for solving Convected Helmholtz equation in radial and axisymmetric domains. Application to Helioseismology, Inria Bordeaux Sud-Ouest, March 2016, no RR-8893.
https://hal.inria.fr/hal-01295077 -
45J. Chabassier, M. Duruflé, V. Péron.
Equivalent boundary conditions for acoustic media with exponential densities. Application to the atmosphere in helioseismology, Inria Bordeaux Sud-Ouest ; Université de Pau et des Pays de l'Adour ; Université de Bordeaux, September 2016, no RR-8954.
https://hal.inria.fr/hal-01371580
Other Publications
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46A. Bendali, S. Tordeux.
Extension of the Günter derivatives to Lipschitz domains and application to the boundary potentials of elastic waves, November 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01395952 -
47V. Darrigrand, F. Faucher.
Improving figures using TikZ/PGF for LATEX: An Introduction, May 2016, Lecture.
https://hal.archives-ouvertes.fr/cel-01400571 -
48M. Duruflé, M. N'diaye.
Optimized High Order Explicit Runge-Kutta-Nyström Schemes, November 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01403338 -
49L. 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, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01403332
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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 ]
https://hal.inria.fr/hal-00944838 -
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, no 2, pp. 335–350.
https://hal.inria.fr/hal-00768457 -
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.
https://hal.inria.fr/hal-00768455 -
53X. Antoine.
Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method, in: IMA J. Appl. Math, 2001, vol. 66, pp. 83–110. -
54L. BEIRÃO DA VEIGA, F. Brezzi, A. Cangiani, G. Manzini, L. D. Marini, A. Russo.
Basic principles of virtual element methods, in: Mathematical Models and Methods in Applied Sciences, 2013, vol. 23, no 01, pp. 199–214. -
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, no 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.
https://hal.inria.fr/hal-00873633 -
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, To appear.
https://hal.inria.fr/hal-00931852 -
58L. Beirão da Veiga, F. Brezzi, L. D. Marini.
Virtual Elements for linear elasticity problems, in: SIAM Journal on Numerical Analysis, 2013, vol. 51, no 2, pp. 794–812. -
59L. Beirão da Veiga, F. Brezzi, L. D. Marini, A. Russo.
The hitchhiker's guide to the virtual element method, in: Mathematical Models and Methods in Applied Sciences, 2014, vol. 24, no 08, pp. 1541–1573. -
60L. Beirão da Veiga, G. Manzini.
A virtual element method with arbitrary regularity, in: IMA Journal of Numerical Analysis, 2013, drt018 p. -
61F. Brezzi, L. D. Marini.
Virtual Element Method for plate bending problems, in: Computer Methods in Applied Mechanics and Engineering, 2012. -
62F. Brezzi, L. D. Marini.
Virtual Element and Discontinuous Galerkin Methods, in: Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations, Springer, 2014, pp. 209–221. -
63E. Bécache, P. Joly, J. Rodríguez.
Space-time mesh refinement for elastodynamics. Numerical results, in: Comput. Methods Appl. Mech. Engrg., 2005, vol. 194, no 2-5, pp. 355–366. -
64J. 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 ]
https://hal.inria.fr/hal-00873048 -
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, no 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, no 1, pp. 9–35. -
67V. Dolean, H. Fahs, L. Fezoui, S. Lanteri.
Locally implicit discontinuous Galerkin method for time domain electromagnetics, in: Journal of Computational Physics, 2010, vol. 229, no 2, pp. 512–526. -
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, no 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, no 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, no 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, no 0, pp. 270 - 289. [ DOI : 10.1016/j.cam.2012.09.046 ]
http://www.sciencedirect.com/science/article/pii/S0377042712004190 -
72S. Imperiale, P. Joly.
Mathematical and numerical modelling of piezoelectric sensors, in: ESAIM-Mathematical Modelling and Numerical Analysis, 2012, vol. 46, no 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, no 1, pp. 183-212.
http://dx.doi.org/10.1007/s10915-011-9501-7 -
74G. Kriegsmann, A. Taflove, K. Umashankar.
A new formulation of electromagnetic wave scattering using an on-surface radiation boundary condition approach, in: IEEE Trans. Antennas and Propagation, 1987, vol. 35, pp. 153-161. -
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, no 2, pp. 855–877.
http://dx.doi.org/10.1111/j.1365-246X.2006.03051.x -
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, no 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, no 10, pp. 3695–3718. -
78D. 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, no 6, pp. F261–F268. -
79S. Piperno.
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems, in: M2AN Math. Model. Numer. Anal., 2006, vol. 40, no 5, pp. 815–841. -
80S. R. Pride, S. Garambois.
Electroseismic wave theory of Frenkel and more recent developments, in: Journal of Engineering Mechanics, 2005, vol. 131, no 9, pp. 898–907. -
81S. Warden, S. Garambois, P. Sailhac, L. Jouniaux, M. Bano.
Curvelet-based seismoelectric data processing, in: Geophysical Journal International, 2012, vol. 190, no 3, pp. 1533–1550.