Bibliography

Publications of the year

Doctoral Dissertations and Habilitation Theses

• 1S. A. Hirstoaga.
  Design and performant implementation of numerical methods for multiscale problems in plasma physics, Université de Strasbourg, IRMA UMR 7501, April 2019, Habilitation à diriger des recherches.
  https://tel.archives-ouvertes.fr/tel-02081304

Articles in International Peer-Reviewed Journals

• 2L. Almeida, M. Duprez, Y. Privat, N. Vauchelet.
  Mosquito population control strategies for fighting against arboviruses, in: Mathematical Biosciences and Engineering, 2019, vol. 16, n^o 6, pp. 6274-6297, https://arxiv.org/abs/1901.05688. [ DOI : 10.3934/mbe.2019313 ]
  https://hal.archives-ouvertes.fr/hal-01984426
• 3L. Almeida, Y. Privat, M. Strugarek, N. Vauchelet.
  Optimal releases for population replacement strategies, application to Wolbachia, in: SIAM Journal on Mathematical Analysis, 2019, vol. 51, n^o 4, pp. 3170–3194, https://arxiv.org/abs/1909.02727. [ DOI : 10.1137/18M1189841 ]
  https://hal.archives-ouvertes.fr/hal-01807624
• 4D. Coulette, E. Franck, P. Helluy, M. Mehrenberger, L. Navoret.
  High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation, in: Computers and Fluids, August 2019, https://arxiv.org/abs/1802.04590. [ DOI : 10.1016/j.compfluid.2019.06.007 ]
  https://hal.archives-ouvertes.fr/hal-01706614
• 5D. Coulette, E. Franck, P. Helluy, A. Ratnani, E. Sonnendrücker.
  Implicit time schemes for compressible fluid models based on relaxation methods, in: Computers and Fluids, June 2019, vol. 188, pp. 70-85. [ DOI : 10.1016/j.compfluid.2019.05.009 ]
  https://hal.archives-ouvertes.fr/hal-01514593
• 6C. Courtès, D. Coulette, E. Franck, L. Navoret.
  Vectorial kinetic relaxation model with central velocity. Application to implicit relaxations schemes, in: Communications in Computational Physics, 2019, forthcoming.
  https://hal.archives-ouvertes.fr/hal-01942317
• 7A. Delyon, A. Henrot, Y. Privat.
  Non-dispersal and density properties of infinite packings, in: SIAM Journal on Control and Optimization, 2019, vol. 57, n^o 2, pp. 1467-1492. [ DOI : 10.1137/18M1181183 ]
  https://hal.archives-ouvertes.fr/hal-01753911
• 8F. Drui, E. Franck, P. Helluy, L. Navoret.
  An analysis of over-relaxation in a kinetic approximation of systems of conservation laws, in: Comptes Rendus Mécanique, January 2019, vol. 347, n^o 3, pp. 259-269, https://arxiv.org/abs/1807.05695. [ DOI : 10.1016/j.crme.2018.12.001 ]
  https://hal.archives-ouvertes.fr/hal-01839092
• 9E. Humbert, Y. Privat, E. Trélat.
  Observability properties of the homogeneous wave equation on a closed manifold, in: Communications in Partial Differential Equations, 2019, vol. 44, n^o 9, pp. 749–772, https://arxiv.org/abs/1607.01535. [ DOI : 10.1080/03605302.2019.1581799 ]
  https://hal.archives-ouvertes.fr/hal-01338016
• 10I. Mazari, G. Nadin, Y. Privat.
  Optimal location of resources maximizing the total population size in logistic models, in: Journal de Mathématiques Pures et Appliquées, 2019, https://arxiv.org/abs/1907.05034, forthcoming. [ DOI : 10.1016/j.matpur.2019.10.008 ]
  https://hal.archives-ouvertes.fr/hal-01607046
• 11Y. Privat, E. Trélat, E. Zuazua.
  Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions, in: Calculus of Variations and Partial Differential Equations, 2019, vol. 58, n^o 2, 64 p, https://arxiv.org/abs/1809.05316. [ DOI : 10.1007/s00526-019-1522-3 ]
  https://hal.archives-ouvertes.fr/hal-01872896
• 12S. Zhang, M. Mehrenberger, C. Steiner.
  Computing the double-gyroaverage term incorporating short-scale perturbation and steep equilibrium profile by the interpolation algorithm, in: plasma, April 2019, vol. 2, n^o 2, pp. 91-126. [ DOI : 10.3390/plasma2020009 ]
  https://hal.archives-ouvertes.fr/hal-02009446

Scientific Books (or Scientific Book chapters)

• 13Linear stability of a vectorial kinetic relaxation scheme with a central velocity, HYP2018 proceedings, 2019, forthcoming.
  https://hal.archives-ouvertes.fr/hal-01970499

Other Publications

• 14G. S. Alberti, Y. Capdeboscq, Y. Privat.
  On Randomisation In Computational Inverse Problems, March 2019, https://arxiv.org/abs/1903.11273 - working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-02077786
• 15M. Boileau, B. Bramas, E. Franck, P. Helluy, L. Navoret.
  Parallel lattice-boltzmann transport solver in complex geometry, December 2019, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-02404082
• 16F. Bouchut, E. Franck, L. Navoret.
  A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations, December 2019, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-02420859
• 17B. Bramas, P. Helluy, L. Mendoza, B. Weber.
  Optimization of a discontinuous finite element solver with OpenCL and StarPU, July 2019, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01942863
• 18E. Franck, L. Navoret.
  Semi-implicit two-speed Well-Balanced relaxation scheme for Ripa model, December 2019, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-02407820
• 19E. Humbert, Y. Privat, E. Trélat.
  Geometric and probabilistic results for the observability of the wave equation, December 2019, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01652890
• 20R. Hélie, P. Helluy, E. Franck, L. Navoret.
  Kinetic over-relaxation method for the convection equation with Fourier solver, January 2020, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-02427044
• 21I. Mazari, G. Nadin, Y. Privat.
  Shape optimization of a weighted two-phase Dirichlet eigenvalue, January 2020, https://arxiv.org/abs/2001.02958 - working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-02432387
• 22S. Zhang.
  Gyrokinetic Vlasov-Poisson model derived by hybrid-coordinate transform of the distribution function, February 2019, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01924706

References in notes

• 23C. Altmann, T. Belat, M. Gutnic, P. Helluy, H. Mathis, E. Sonnendrücker, W. Angulo, J.-M. Hérard.
  A local time-stepping Discontinuous Galerkin algorithm for the MHD system, in: Modélisation et Simulation de Fluides Complexes - CEMRACS 2008, Marseille, France, July 2009. [ DOI : 10.1051/proc/2009038 ]
  https://hal.inria.fr/inria-00594611
• 24T. Barth.
  On the role of involutions in the discontinous Galerkin discretization of Maxwell and magnetohydrodynamic systems, in: IMA Vol. Math. Appl., 2006, vol. 142, pp. 69–88.
• 25A. Crestetto, P. Helluy.
  Resolution of the Vlasov-Maxwell system by PIC Discontinuous Galerkin method on GPU with OpenCL, in: CEMRACS'11, France, EDP Sciences, 2011, vol. 38, pp. 257–274. [ DOI : 10.1051/proc/201238014 ]
  https://hal.archives-ouvertes.fr/hal-00731021
• 26N. Crouseilles, E. Frénod, S. A. Hirstoaga, A. Mouton.
  Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field, in: Mathematical Models and Methods in Applied Sciences, 2013, vol. 23, n^o 08, pp. 1527–1559. [ DOI : 10.1142/S0218202513500152. ]
  https://hal.archives-ouvertes.fr/hal-00638617
• 27E. Frénod, F. Salvarani, E. Sonnendrücker.
  Long time simulation of a beam in a periodic focusing channel via a two-scale PIC-method, in: Mathematical Models and Methods in Applied Sciences, 2009, vol. 19, n^o 2, pp. 175-197, ACM 82D10 35B27 76X05.
  http://hal.archives-ouvertes.fr/hal-00180700/en/
• 28V. Grandgirard, M. Brunetti, P. Bertrand, N. Besse, X. Garbet, P. Ghendrih, G. Manfredi, Y. Sarazin, O. Sauter, E. Sonnendrücker, J. Vaclavik, L. Villard.
  A drift-kinetic Semi-Lagrangian 4D Vlasov code for ion turbulence simulation, in: J. of Comput. Phys., 2006, vol. 217, 395 p.
• 29C. Hauck, C.-D. Levermore.
  Convex Duality and Entropy-Based Moment Closures: Characterizing Degenerate Densities, in: SIAM J. Control Optim., 2008, vol. 47, pp. 1977–2015.
• 30C.-D. Levermore.
  Entropy-based moment closures for kinetic equations, in: Transport Theory Statist. Phys., 1997, vol. 26, n^o 4-5, pp. 591–606.
• 31E. Sonnendrücker, J.-R. Roche, P. Bertrand, A. Ghizzo.
  The semi-Lagrangian method for the numerical resolution of the Vlasov equation, in: J. Comput. Phys., 1999, vol. 149, n^o 2, pp. 201–220.
• 32E. Tadmor.
  Entropy conservative finite element schemes, in: Numerical methods for Compressible Flows, Finite Difference Element and Volume Techniques, T. E. Tezduyar, T. J. R. Hughes (editors), Proc. Winter Annual Meeting, Amer. Soc. Mech. Eng, AMD- Vol. 78, 1986, 149 p.
• 33B. Weber, P. Helluy, T. Strub.
  Optimisation d'un algorithme Galerkin Discontinu en OpenCL appliqué à la simulation en électromagnétisme, in: preprint, 2017.