Damien FOURNIER

List of publications

ORCID

https://orcid.org/0000-0001-7749-8650

Peer-reviewed articles

  • H. Barucq, F. Faucher, D Fournier, L. Gizon, H. Pham, "Outgoing modal solutions for Galbrun's equation in helioseismology", Journal of Differential Equations, 286, 494-530 (2021) link
  • P. L. Poulier, D. Fournier, L. Gizon, T. L. Duvall. Acoustic wave propagation through solar granulation: Validity of effective-medium theories, coda waves. Astronomy & Astrophysics, 643, A168 (2020). link
  • L. Gizon, D. Fournier, M. Albekioni. Effect of latitudinal differential rotation on solar Rossby waves: Critical layers, eigenfunctions, and momentum fluxes in the equatorial β plane. Astronomy & Astrophysics, 642, A178 (2020). link
  • C. R. Goddard, A. C. Birch, D. Fournier, L. Gizon. Predicting frequency changes of global-scale solar Rossby modes due to solar cycle changes in internal rotation. Astronomy & Astrophysics, 640, L10 (2020). link
  • L. Gizon, R. H. Cameron, M. Pourabdian, Z. C. Liang, D. Fournier, A. C. Birch, C. S. Hanson. Meridional flow in the Sun’s convection zone is a single cell in each hemisphere. Science, 368(6498), 1469-1472 (2020). link
  • H. Barucq, F. Faucher, D. Fournier, L. Gizon, H. Pham. Efficient and Accurate Algorithm for the Full Modal Green's Kernel of the Scalar Wave Equation in Helioseismology. SIAM Journal on Applied Mathematics, 80(6), 2657-2683 (2020). link
  • L. Gizon, D. Fournier, D. Yang, A. C. Birch, H. Barucq. Signal and noise in helioseismic holography. Astronomy and Astrophysics, 620, A136 (2018). link
  • D. Fournier, C. S. Hanson, L. Gizon, H. Barucq. Sensitivity kernels for time-distance helioseismology. Efficient computation for spherically symmetric solar models. Astronomy and Astrophysics 616, A156 (2018). link
  • M. Pourabdian, D. Fournier, L. Gizon. Comparison of Travel-Time and Amplitude Measurements for Deep-Focusing Time–Distance Helioseismology. Solar Physics, 293(4), 66 (2018). link
  • D. Fournier, M. Leguebe, C. S. Hanson, L. Gizon, H. Barucq, J. Chabassier, M. Durufle, "Atmospheric radiation boundary conditions for high frequency waves in time-distance helioseismology", Astronomy & Astrophysics, 608, A109 (2017). link
  • L. Gizon, H. Barucq, M. Durufle, C. S. Hanson, M. Leguebe, A. C. Birch. J. Chabassier, D. Fournier, T. Hohage, and E. Papini, "Computational helioseismology in the frequency domain: acoustic waves in axisymmetric solar models with flows", Astronomy and Astrophysics, 600, A35 (2017). link
  • K. Nagashima, D. Fournier, A. C. Birch and L. Gizon, "The amplitude of the cross-covariance function of solar oscillations as a diagnostic tool for wave attenuation and geometrical spreading", Astronomy and Astrophysics, 599, A111 (2017). link
  • D. Fournier, L. Gizon, M. Holzke, and T. Hohage, "Pinsker estimators for local helioseismology: inversion of travel times for mass-conserving flows", Inverse Problems, 32(10), 105002 (2016). link
  • D. Fournier, L. Gizon, T. Hohage, and A. C. Birch, "Generalization of the noise model for time-distance helioseismology", Astronomy and Astrophysics, 06/2014, 567, A137 (2014). link
  • D. Fournier, R. Herbin, and R. Le Tellier, “Analysis of hp-refinement methods for the resolution of the neutron transport equation”, SIAM Journal of Scientific Computing, 03/2013; 35(2):A936–A956. link
  • R. Le Tellier, D. Fournier, and C. Suteau, “Reactivity perturbation formulation for a discontinuous Galerkin based transport solver and its use with adaptive mesh refinement”, Nuclear Science and Engineering, 156 (3), March 2011, pp.209-220. link
  • D. Fournier and R. Le Tellier (2011) “An Adaptive Energy Discretization of the Neutron Transport Equation Based on a Wavelet Galerkin Method”, Discrete Wavelet Transforms - Algorithms and Applications, Hannu Olkkonen (Ed.), ISBN: 978-953-307-482-5, InTech link
  • D. Fournier, R. Le Tellier, and C. Suteau, “Analysis of an a posteriori error estimator for the transport equation with SN and discontinuous Galerkin discretizations”, Annals of Nuclear Energy, 38 (2-3), Feb-Mar 2011, pp.221-231. link
  • R. Le Tellier, and D. Fournier, “A wavelet-based finite element method for the self-shielding issue in neutron transport”, Nuclear Science and Engineering, 163 (1), September 2009, pp. 34-55. link

Research reports

  • H. Barucq, F. Faucher, D Fournier, L. Gizon, H. Pham, "On the outgoing solutions and radiation boundary conditions for the vectorial wave equation with ideal atmosphere in helioseismology", RR-9335 Inria Bordeaux Sud-Ouest (2020) link
  • H. Barucq, F. Faucher, D Fournier, L. Gizon, H. Pham, "Efficient computation of the modal outgoing Green's kernel for the scalar wave equation in helioseismology", RR-9338 Inria Bordeaux Sud-Ouest (2020) link
  • F. Faucher, D Fournier, H. Pham, "C2 representations of the solar background coefficients for the model S-AtmoI" (2020). link
  • H. Barucq, F. Faucher, D Fournier, L. Gizon, H. Pham, "On the outgoing solutions and radiation boundary conditions for the vectorial wave equation with ideal atmosphere in helioseismology", RR-9335 Inria Bordeaux Sud-Ouest (2019), link

International conferences with proceedings

  • D. Fournier, T. Hohage, M. Duruflé, J. Chabassier, and L. Gizon, "Parameter identification for the Helmholtz equation from limited observations in helioseismology", 8th International Conference on Inverse problems: modeling & simulations, Fethiye, Turkey, May 2016. link
  • D. Fournier, T. Hohage, and L. Gizon, "Parameter identification for the acoustic wave equation in helioseismology", 12th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Karlsruhe, Germany, July 2015. link
  • L. Gizon (+7 authors including D. Fournier), "Solving the forward problem of helioseismology in the frequency domain", 12th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Karlsruhe, Germany, July 2015. link
  • D. Fournier, T. Hohage, and L. Gizon, "Inversion of Reynolds stresses in the solar interior", 11th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Gammarth, Tunisia, June 2013. link
  • D. Fournier, P. Archier, R. Le Tellier, and C. Suteau, “Improvement of neutronic calculations on a MASURCA core using adaptive mesh refinement capabilities”, International Conference on Math- ematics, Computational Methods & Reactor Physics, M&C 2011, Rio de Janeiro, RJ, Brazil. link
  • D. Fournier, R. Le Tellier, R. Herbin, and C. Suteau, “Analysis of a hp-refinement method for solving the neutron transport equation using two error estimators”, International Conference on Mathe- matics, Computational Methods & Reactor Physics, M&C 2011, Rio de Janeiro, RJ, Brazil. link
  • S. Schunert, Y. Y. Azmy, D. Fournier, and R. Le Tellier, “Comparison of the accuracy of various spatial discretization schemes of the discrete ordinates equations”, International Conference on Mathematics, Computational Methods & Reactor Physics, M&C 2011, Rio de Janeiro, RJ, Brazil. link
  • R. Le Tellier, D. Fournier, C. Suteau, and J. M. Ruggieri, “High-order discrete ordinate transport in hexagonal geometry : A new capability in ERANOS”, Il Nuovo Cimento, ICTT2009, 2009.
  • link
  • L. Gastaldo, R. Le Tellier, C. Suteau, D. Fournier, and J. M. Ruggieri, “High-order discrete ordinate transport in non-conforming 2D Cartesian meshes”, International Conference on Mathematics, Computational Methods & Reactor Physics (M&C 2009), Saratoga Springs, New York, 2009. link
  • D. Fournier, and R. Le Tellier, “Adaptive algorithms for a self-shielding treatment using a wavelet- based Galerkin method”, International Conference on Mathematics, Computational Methods & Reactor Physics (M&C 2009), Saratoga Springs, New York, 2009. link

Ph. D. thesis

  • D. Fournier, Analyse et Développement de méthodes de raffinement hp en espace pour l'équation de transport des neutrons, thèse de l’Université de Provence, link

Invited talks

  • Advances in Seismology: a Dialogue Across Disciplines, Mumbai, India, December 2015.
  • SFB 963 Kolloquium, Göttingen, November 2013.
  • Numerical Analysis Seminar, Institute for mathematics, RWTH Aachen, April 2012.
  • Oberseminar, Institute for applied mathematics, Göttingen, March 2012.
  • Numerical Analysis Seminar, Texas A&M, September 2011.

Conferences without proceedings and seminars

  • "Pinsker estimators for local helioseismology: inversion of travel times for mass-conserving flows", Seismology of the Sun and the Distant Stars, Angra do Heroismo, Terceira-Acores, Portugal, July 2016.
  • "Measurement of turbulent quantities at the Sun's surface: velocity, vorticity and their correlations from observations", Stellar and Planetary Dynamos, Göttingen, May 2015.
  • "Inversion of the two-point velocity correlations on the Sun's surface", HELAS conference, Goettingen, 1-5/09/2014.
  • “Raffinement de maillage adaptatif et dualite pour l'equation de transport des neutrons”, Seminaire incertitudes, EDF Clamart, 7/7/2011.
  • “Methodes de raffinement hp pour l’equation de transport des neutrons”, GDR Calcul 5-6/7/2011, Paris.
  • “Raffinement adaptatif de maillage pour un systeme d'equations hyperboliques couplees”, Congres SMAI, Guidel-Plage, 23-27/05/2011.
  • “Towards a hp−refinement method for solving the neutron transport equation using two error estimators”, Workshop on discretization methods for viscous flows, Carry Le Rouet, 8-10/9/2010.
  • “Estimation d’erreur a posteriori pour l'equation de transport”, Journees d'equipe du Laboratoire d’Analyse, de Topologie et de Probabilites (LATP) de Marseille, 17-19/05/2010.
  • “Raffinement hp pour l’equation de Boltzmann : Interets et Application”, Seminaire Modelisation Avancee des Coeurs (MACOE), CEA Cadarache/Saclay, 10/12/2009.
  • “Estimation d’erreur sur l’equation de transport en neutronique par la methode des elements finis discontinus”, Groupe de travail transport du Laboratoire d’Analyse et de Topologie (LATP) de Marseille, 12/10/2009.
  • “Development of spatial adaptiveness capa- bilities for the neutron transport equation”, ERANOS Workshop, Aix-en-Provence, 19-21/10/2008.