List of publications
- 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", accepted for publication in Astronomy and Astrophysics (2016). 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
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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
- 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
- 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.
- "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.