Bibliography

Publications of the year

Doctoral Dissertations and Habilitation Theses

• 1L. Desiderio.
  
  H-matrix based Solver for 3D Elastodynamics Boundary Integral Equations, Université Paris-Saclay, January 2017.
  
  https://pastel.archives-ouvertes.fr/tel-01573534
• 2L. Pesudo.
  
  A hybrid strategy combining the integral equation method and the ray tracing method for high frequency diffraction involved in ultrasonic non destructive testing, Université Paris-Saclay, October 2017.
  
  https://pastel.archives-ouvertes.fr/tel-01680366

Articles in International Peer-Reviewed Journals

• 3M. Bonnet.
  
  A modified volume integral equation for anisotropic elastic or conducting inhomogeneities. Unconditional solvability by Neumann series, in: Journal of Integral Equations and Applications, 2017, vol. 29, pp. 271-295.
  
  https://hal.archives-ouvertes.fr/hal-01417944
• 4M. Bonnet, R. Cornaggia.
  
  Higher order topological derivatives for three-dimensional anisotropic elasticity, in: ESAIM: Mathematical Modelling and Numerical Analysis, 2017, n^o 51, pp. 2069-2092. [ DOI : 10.1051/m2an/2017015 ]
  
  https://hal.archives-ouvertes.fr/hal-01499498
• 5A.-S. Bonnet-Ben Dhia, C. Carvalho, P. Ciarlet.
  
  Mesh requirements for the finite element approximation of problems with sign-changing coefficients, in: Numerische Mathematik, 2017, forthcoming. [ DOI : 10.1007/s00211-017-0923-5 ]
  
  https://hal.archives-ouvertes.fr/hal-01335153
• 6A.-S. Bonnet-Ben Dhia, L. Chesnel, S. Nazarov.
  
  Perfect transmission invisibility for waveguides with sound hard walls, in: Journal de Mathématiques Pures et Appliquées, August 2017.
  
  https://hal.archives-ouvertes.fr/hal-01371163
• 7L. Bourgeois.
  
  Quantification of the unique continuation property for the heat equation, in: Mathematical Control and Related Fields, July 2017, vol. 7, n^o 3, pp. 347 - 367. [ DOI : 10.3934/mcrf.2017012 ]
  
  https://hal.inria.fr/hal-01648045
• 8L. Bourgeois, J. Dardé.
  
  The "exterior approach" applied to the inverse obstacle problem for the heat equation, in: SIAM Journal on Numerical Analysis, July 2017, vol. 55, n^o 4, https://arxiv.org/abs/1609.05682. [ DOI : 10.1137/16M1093872 ]
  
  https://hal.archives-ouvertes.fr/hal-01366850
• 9E. Bécache, P. Joly, M. Kachanovska.
  
  Stable Perfectly Matched Layers for a Cold Plasma in a Strong Background Magnetic Field , in: Journal of Computational Physics, July 2017, vol. 341, pp. 76-101. [ DOI : 10.1016/j.jcp.2017.03.051 ]
  
  https://hal.archives-ouvertes.fr/hal-01397581
• 10E. Bécache, M. Kachanovska.
  
  Stable perfectly matched layers for a class of anisotropic dispersive models. Part I: Necessary and sufficient conditions of stability: Extended Version, in: ESAIM: Mathematical Modelling and Numerical Analysis, 2017, forthcoming.
  
  https://hal.archives-ouvertes.fr/hal-01356811
• 11C. Carvalho, L. Chesnel, P. Ciarlet.
  
  Eigenvalue problems with sign-changing coefficients, in: Comptes Rendus Mathématique, June 2017, vol. 355, n^o 6, pp. 671 - 675. [ DOI : 10.1016/j.crma.2017.05.002 ]
  
  https://hal.archives-ouvertes.fr/hal-01394856
• 12M. Cassier, C. HAZARD, P. Joly.
  
  Spectral theory for Maxwell's equations at the interface of a metamaterial. Part I: Generalized Fourier transform, in: Communications in Partial Differential Equations, October 2017, vol. 42, n^o 11, pp. 1707-1748, https://arxiv.org/abs/1610.03021.
  
  https://hal-ensta.archives-ouvertes.fr/hal-01379118
• 13M. Cassier, P. Joly, M. Kachanovska.
  
  Mathematical models for dispersive electromagnetic waves: An overview, in: Computers and Mathematics with Applications, 2017, vol. 74, n^o 11, pp. 2792-2830. [ DOI : 10.1016/j.camwa.2017.07.025 ]
  
  https://hal.archives-ouvertes.fr/hal-01647185
• 14S. Chaillat, M. Darbas, F. Le Louër.
  
  Fast iterative boundary element methods for high-frequency scattering problems in 3D elastodynamics, in: Journal of Computational Physics, 2017, vol. 341, pp. 429 - 446. [ DOI : 10.1016/j.jcp.2017.04.020 ]
  
  https://hal.archives-ouvertes.fr/hal-01523020
• 15S. Chaillat, L. Desiderio, P. Ciarlet.
  
  Theory and implementation of $\mathscr{H}$-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels, in: Journal of Computational Physics, September 2017, https://arxiv.org/abs/1706.09384.
  
  https://hal.archives-ouvertes.fr/hal-01543919
• 16P. Ciarlet, S. Fliss, C. Stohrer.
  
  On the Approximation of Electromagnetic Fields by Edge Finite Elements. Part 2: A Heterogeneous Multiscale Method for Maxwell's equations, in: Computers and Mathematics with Applications, May 2017, vol. 73, n^o 9, pp. 1900-1919. [ DOI : 10.1016/j.camwa.2017.02.043 ]
  
  https://hal.archives-ouvertes.fr/hal-01364782
• 17B. Delourme, S. Fliss, P. Joly, E. Vasilevskaya.
  
  Trapped modes in thin and infinite ladder like domains. Part 1 : existence results, in: Asymptotic Analysis, June 2017, vol. 103(3), n^o 103-134, https://arxiv.org/abs/1709.06345.
  
  https://hal.inria.fr/hal-01287127
• 18E. Marenic, D. Brancherie, M. Bonnet.
  
  Application of asymptotic analysis to the two-scale modeling of small defects in mechanical structures, in: International Journal of Solids and Structures, 2017, vol. 128, pp. 199-209.
  
  https://hal.archives-ouvertes.fr/hal-01588407
• 19J.-F. Mercier, B. Lombard.
  
  A two-way model for nonlinear acoustic waves in a non-uniform lattice of Helmholtz resonators, in: Wave Motion, 2017, vol. 72, pp. 260-275, https://arxiv.org/abs/1609.03841. [ DOI : 10.1016/j.wavemoti.2017.04.004 ]
  
  https://hal.archives-ouvertes.fr/hal-01312801
• 20A. Modave, A. Atle, J. Chan, T. Warburton.
  
  A GPU-accelerated nodal discontinuous Galerkin method with high-order absorbing boundary conditions and corner/edge compatibility, in: International Journal for Numerical Methods in Engineering, December 2017, vol. 112, n^o 11, pp. 1659-1686, https://arxiv.org/abs/1610.05023. [ DOI : 10.1002/nme.5576 ]
  
  https://hal.archives-ouvertes.fr/hal-01383074
• 21A. Modave, J. Lambrechts, C. Geuzaine.
  
  Perfectly matched layers for convex truncated domains with discontinuous Galerkin time domain simulations, in: Computers and Mathematics with Applications, February 2017, vol. 73, n^o 4, pp. 684-700. [ DOI : 10.1016/j.camwa.2016.12.027 ]
  
  https://hal.archives-ouvertes.fr/hal-01378501
• 22A. Ourir, A. Maurel, S. Félix, J. F. Mercier, M. Fink.
  
  Manipulating light at subwavelength scale by exploiting defect-guided spoof plasmon modes, in: Physical Review B : Condensed matter and materials physics, 2017, vol. 96, n^o 12. [ DOI : 10.1103/PhysRevB.96.125133 ]
  
  https://hal.inria.fr/hal-01626376

Scientific Books (or Scientific Book chapters)

• 23F. Assous, P. Ciarlet, S. Labrunie.
  
  Mathematical foundations of computational electromagnetism, Springer, 2017, forthcoming.
  
  https://hal.archives-ouvertes.fr/hal-01596575
• 24G. Cohen, S. Pernet.
  
  Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations, Springer, 2017. [ DOI : 10.1007/978-94-017-7761-2 ]
  
  https://hal.archives-ouvertes.fr/hal-01253166
• 25J. Leblond, D. Ponomarev.
  
  On some extremal problems for analytic functions with constraints on real or imaginary parts, in: Advances in Complex Analysis and Operator Theory: Festschrift in Honor of Daniel Alpay’s 60th Birthday, F. Colombo, I. Sabadini, D. C. Struppa, M. B. Vajiac (editors), Birkhauser, 2017, pp. 219-236. [ DOI : 10.1007/978-3-319-62362-7_8 ]
  
  https://hal.archives-ouvertes.fr/hal-01623281

Other Publications

• 26A.-S. Bonnet-Ben Dhia, L. Chesnel, V. Pagneux.
  
  Trapped modes and reflectionless modes as eigenfunctions of the same spectral problem, January 2018, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01692297
• 27A.-S. Bonnet-Ben Dhia, S. Fliss, A. Tonnoir.
  
  The halfspace Matching Method : a new method to solve scattering problem in infinite media, July 2017, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01561339
• 28P. Ciarlet, C. F. Dunkl, S. A. Sauter.
  
  A Family of Crouzeix-Raviart Finite Elements in 3D, February 2017, working paper or preprint.
  
  https://hal.inria.fr/hal-01488172
• 29P. Ciarlet, L. Giret, E. Jamelot, F. D. Kpadonou.
  
  Numerical analysis of the mixed finite element method for the neutron diffusion eigenproblem with heterogeneous coefficients, December 2017, working paper or preprint.
  
  https://hal.inria.fr/hal-01566179
• 30P. Ciarlet, E. Jamelot, F. D. Kpadonou.
  
  Domain decomposition methods for the diffusion equation with low-regularity solution, July 2017, working paper or preprint.
  
  https://hal.inria.fr/hal-01349385
• 31P. Ciarlet, M. Vohralík.
  
  Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients, August 2017, working paper or preprint.
  
  https://hal.inria.fr/hal-01148476
• 32C. HAZARD, S. Paolantoni.
  
  Spectral analysis of polygonal cavities containing a negative-index material, October 2017, working paper or preprint.
  
  https://hal-ensta.archives-ouvertes.fr/hal-01626868
• 33M. Kachanovska.
  
  Stable perfectly matched layers for a class of anisotropic dispersive models. Part II: Energy estimates, March 2017, This work was supported by a public grant as part of the Investissement d'avenir project, reference ANR-11-LABX-0056-LMH, LabEx LMH, as well as a co- financing program PRESTIG.
  
  https://hal.inria.fr/hal-01419682
• 34J. F. Mercier, C. Mietka, F. Millot, V. Pagneux.
  
  Acoustic propagation in a vortical homentropic flow, December 2017, working paper or preprint.
  
  https://hal.inria.fr/hal-01663949