Production scientifique

  1. F. Boyer, P. Fabrie : Eléments d'analyse pour l'étude de quelques modèles d'écoulements de fluides visqueux incompressibles, Mathématiques et Applications Vol. 52, 405 p., Springer (2006) Published on-line
  2. F. Boyer, P. Fabrie : Mathematical tools for the study of the incompressible Navier-Stokes equations and related models, Applied Mathematical Sciences, vol. 183, Springer (2013) Published on-line Erratum and complements
  1. F. Boyer : Nonhomogeneous Cahn-Hilliard fluids, Annales de l'IHP : Analyse non linéaire, Vol. 18 no 2, pp 225-259 (2001) Published on-line
  2. F. Boyer, L. Chupin, P. Fabrie : Numerical study of viscoelastic mixtures through a Cahn-Hilliard flow model, European Journal of Mechanics - B Fluids Vol. 23 no 5, pp 759-780 (2004) Published on-line
  3. B. Andreianov, F. Boyer, F. Hubert : Finite-volume schemes for the p-laplacian on cartesian meshes, M2AN, Vol. 38, N°6, pp. 931-959 (2004) Published on-line
  4. B. Andreianov, F. Boyer, F. Hubert : Besov regularity and new error estimates for finite volume approximations of the p-laplacian, Numerische Mathematik, Vol. 100, N°4, pp. 565 - 592 (2005) Published on-line
  5. F. Boyer : Trace theorems and spatial continuity properties for the solutions of the transport equation, Differential and Integral Equations Vol. 18, N°8, pp. 891-934 (2005)
  6. B. Andreianov, F. Boyer, F. Hubert : On the finite volume approximation of regular solutions of the p-laplacian, IMA Journal of Numerical Analysis Vol. 26, N°3, pp. 472-502 (2006) Published on-line
  7. F. Boyer, C. Lapuerta : Study of a three component Cahn-Hilliard flow model, M2AN Vol. 40 no 4, pp. 653--687,(2006) Published on-line
  8. B. Andreianov, F. Boyer, F. Hubert : Discrete duality finite volume schemes for Leray-Lions type elliptic problems on general 2D meshes, Numerical Methods for PDEs Vol. 23, N°1, pp 145--195, (2007) Published on-line
  9. B. Andreianov, F. Boyer, F. Hubert : Discrete Besov framework for finite volume approximation of the p-laplacian on non-uniform cartesian grids, ESAIM Proceedings, Vol. 18, pp. 1--10, (2007) Published on-line
  10. F. Boyer, P. Fabrie : Outflow boundary conditions for the incompressible non-homogeneous Navier-Stokes equations, Discrete and Continuous Dynamical Systems - B, Vol. 7, N°2, pp. 219--250, (2007) Published on-line
  11. F. Boyer, F. Hubert : Finite volume method for 2D linear and nonlinear elliptic problems with discontinuities, SIAM Journal on Numerical Analysis, Vol. 46, N° 6, pp. 3032--3070, (2008) Published on-line
  12. P. Angot, F. Boyer, F. Hubert : Asymptotic and numerical modelling of flows in fractured porous media, M2AN Vol. 43 no 2, pp. 239-275, (2009) Published on-line
  13. F. Boyer, C. Lapuerta, S. Minjeaud, B. Piar : A local adaptive refinement method with multigrid preconditionning illustrated by multiphase flows simulations, ESAIM Proceedings, Vol. 27, pp. 15--53 (2009) Published on-line
  14. F. Boyer, F. Hubert, S. Krell : Non-overlapping Schwarz algorithm for solving 2D m-DDFV schemes, IMA Journal on Numerical Analysis, Vol. 30, no 4, pp. 1062-1100, (2010) Published on-line
  15. F. Boyer, C. Lapuerta, S. Minjeaud, B. Piar, M. Quintard : Cahn-Hilliard / Navier-Stokes model for the simulation of three-phase flows, Transport in Porous Media, Volume 82, Issue 3, pp. 463--483 (2010) Published on-line
  16. F. Boyer, F. Hubert, J. Le Rousseau : Discrete Carleman estimates for elliptic operators and uniform controllability of semi-discretized parabolic equations, Journal de Mathématiques Pures et Appliquées, Vol. 93, no 3, pp. 240-273 (2010) Published on-line
  17. F. Boyer, F. Hubert, J. Le Rousseau : Discrete Carleman estimates for elliptic operators in arbitrary dimension and applications, SIAM Journal on Control and Optimization, Vol. 48, No 8, pp.5357-5397 (2010) Published on-line
  18. F. Boyer, S. Minjeaud : Numerical schemes for a three component Cahn-Hilliard model, M2AN Vol. 45, no 4, pp. 697-738 (2011) Published on-line
  19. F. Boyer, F. Hubert, J. Le Rousseau : Uniform null-controllability properties for space/time-discretized parabolic equations, Numerische Mathematik, Vol. 118, no 4, pp. 601-661 (2011) Published on-line
  20. F. Boyer : Analysis of the upwind finite volume method for general initial and boundary value transport problems, IMA Journal on Numerical Analysis, Vol. 32 no 4, pp. 1404-1439 (2012) Published on-line
  21. F. Boyer, J. Le Rousseau : Carleman estimates for semi-discrete parabolic operators and application to the controllability of semi-linear semi-discrete parabolic equations, Annales de l'IHP - Analyse non linéaire, Vol. 31, Issue 5, pp. 1035–1078, (2014) Preprint HALPublished on-line
  22. F. Boyer, F. Dardalhon, C. Lapuerta, J.C. Latché : Stability of a Crank-Nicolson pressure correction scheme based on staggered discretizations, International Journal for Numerical Methods in Fluids, Vol. 74, Issue 1, pp. 34–58, (2014) Preprint HALPublished on-line
  23. F. Boyer, S. Krell, F. Nabet : Inf-Sup stability of the Discrete Duality Finite Volume method for the Stokes problem, Math. Comp., Vol. 84, pp. 2705-2742, (2015) Preprint HALPublished on-line
  24. F. Boyer : On the penalised HUM approach and its applications to the numerical approximation of null-controls for parabolic problems, ESAIM Proceedings, Vol. 41, pp. 15-58, (2013) Preprint HALPublished on-line
  25. F. Boyer, S. Minjeaud : Hierarchy of consistent n-component Cahn-Hilliard systems, M3AS Vol. 24, No 14, pp. 2885-2928 (2014) Preprint HALPublished on-line
  26. F. Boyer, G. Olive : Approximate controllability conditions for some linear 1D parabolic systems with space-dependent coefficients, Mathematical Control and Related Fields, Vol. 4, No. 3, pp. 263-287 (2014) Preprint HALPublished on-line
  27. A. Benabdallah, F. Boyer, M. González-Burgos, G. Olive : Sharp estimates of the one-dimensional boundary control cost for parabolic systems and application to the $N$-dimensional boundary null-controllability in cylindrical domains, SIAM Journal on Control and Optimization, Vol. 52, No. 5, pp. 2970-3001 (2014) Preprint HALPublished on-line
  28. P. Bousquet, F. Boyer, F. Nabet : On a functional inequality arising in the analysis of finite-volume methods, Calcolo, Vol. 53, No. 3, pp. 363-397 (2016) Preprint HALPublished on-line
  29. F. Boyer, F. Nabet : A DDFV method for a Cahn-Hilliard-Stokes phase field model with dynamic boundary conditions, M2AN, Vol. 51, No. 5, pp. 1691--1731 (2017) Preprint HALPublished on-line
  30. T. Blanc, M. Bostan, F. Boyer : Asymptotic analysis of parabolic equations with stiff transport terms by a multi-scale approach, Discrete and Continuous Dynamical System - Serie A, Vol. 37, No. 9, pp. 4637-4676 (2017) Preprint HALPublished on-line
  31. F. Boyer, F. Dardalhon, C. Lapuerta : Pressure enhancement for the Rannacher-Turek element in convection-dominated regimes, en préparation, (2016)
  32. N. Aguillon, F. Boyer : Error estimate for the upwind scheme for the linear transport equation with boundary data, IMA Journal on Numerical Analysis, Vol. 38, Issue 2, pp. 669–719 (2018) Preprint HALPublished on-line
  33. D. Allonsius, F. Boyer, M. Morancey : Spectral analysis of discrete elliptic operators and applications in control theory, Numerische Mathematik, Vol. 140, No 4, pp. 857–911 (2018) Preprint HALPublished on-line
  34. F. Boyer, V. Hernandez-Santamaria, L. de Teresa : Insensitizing controls for a semilinear parabolic equation : a numerical approach, to appear in Mathematical Control and Related Fields, (2018) Preprint HALPublished on-line
  35. D. Allonsius, F. Boyer : Boundary null-controllability of semi-discrete coupled parabolic systems in some multi-dimensional geometries, submitted, (2018) Preprint HAL
  36. A. Benabdallah, F. Boyer, M. Morancey : A block moment method to handle spectral condensation phenomenon in parabolic control problems, submitted, (2018) Preprint HAL
  1. Autour des solutions renormalisées de l'équation de transport, Séminaire du laboratoire MAPMO, Orléans, Décembre 2006
  2. Mini-cours de 6h : Volumes finis pour la résolution de problèmes elliptiques hétérogènes anisotropes sur maillages généraux, Ecole d'été du GDR MOAD, Fréjus, Septembre 2009
  3. Mini-cours de 6h : Méthodes de volumes finis pour les écoulements en milieux poreux, Ecole d'été Milieux poreux du LEM2I, Tipaza, Algérie ,Juin 2010
  4. A propos du contrôle et de l'optimisation de trajectoires, Exposé devant les élèves de Classes Préparatoires du Lycée Militaire d'Aix-en-Provence, Décembre 2010
  5. About The HUM method and its application to the numerical approximation of controls of PDEs, Mini-cours dans la conférence 'Contrôle et problèmes inverses pour les EDPs', Besançon, Mars 2015
  6. Controllability of parabolic PDEs : methods - results - open problems, Séminaire DEFI - MEDISIM - POEMS, CMAP, Ecole polytechnique, Mars 2017