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Curriculum Vitae HAL de Franck Boyer


Institut de Mathématiques de Toulouse

 

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Article dans une revue32 documents

  • Nina Aguillon, Franck Boyer. Error estimate for the upwind scheme for the linear transport equation with boundary data. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2017, 〈https://academic.oup.com/imajna/article-abstract/doi/10.1093/imanum/drw078/3767777/〉. 〈10.1093〉. 〈hal-01328667v2〉
  • Pierre Bousquet, Franck Boyer, Flore Nabet. On a functional inequality arising in the analysis of finite-volume methods. Calcolo, Springer Verlag, 2016, 〈10.1007/s10092-015-0153-0〉. 〈hal-01134988v3〉
  • J.M. Kiat, Bernard Hehlen, M Anoufa, C Bogicevic, A Curfs, et al.. Lowering of ground state induced by core-shell structure in strontium titanate. Physical Review B : Condensed matter and materials physics, American Physical Society, 2016, 93, pp.144117 - 144117. 〈10.1103/PhysRevB.93.144117〉. 〈hal-01384969〉
  • Franck Boyer, Stella Krell, Flore Nabet. Inf-Sup Stability of the Discrete Duality Finite Volume method for the 2D Stokes problem. Mathematics of Computation, American Mathematical Society, 2015, 84, pp.2705--2742. 〈10.1090/mcom/2956〉. 〈hal-00795362v2〉
  • Franck Boyer, Sebastian Minjeaud. Hierarchy of consistent n-component Cahn-Hilliard systems. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2014, 24 (14), pp.2885-2928. 〈10.1142/S0218202514500407〉. 〈hal-00933674〉
  • Assia Benabdallah, Franck Boyer, Manuel Gonzalez-Burgos, Guillaume 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, Society for Industrial and Applied Mathematics, 2014, 52 (5), pp.2970-3001. 〈10.1137/130929680〉. 〈hal-00845994〉
  • Franck Boyer, Guillaume Olive. Approximate controllability conditions for some linear 1D parabolic systems with space-dependent coefficients. Mathematical Control and Related Fields, AIMS, 2014, 4 (3), pp.263-287. 〈10.3934/mcrf.2014.4.263〉. 〈hal-00848709v2〉
  • Franck Boyer, Jérôme Le Rousseau. Carleman estimates for semi-discrete parabolic operators and application to the controllability of semi-linear semi-discrete parabolic equations. Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2014, 31 (5), pp.1035-1078. 〈10.1016/j.anihpc.2013.07.011〉. 〈hal-00724766〉
  • Franck Boyer, Fanny Dardalhon, Céline Lapuerta, Jean-Claude Latché. Stability of a Crank-Nicolson Pressure Correction Scheme Based on Staggered Discretizations. International Journal for Numerical Methods in Fluids, Wiley, 2013, 74 (1), pp.34-58. 〈10.1002/fld.3837〉. 〈hal-00721597v2〉
  • Franck Boyer. On the penalised HUM approach and its applications to the numerical approximation of null-controls for parabolic problems. ESAIM: Proceedings, EDP Sciences, 2013, 41, pp. 15-58. 〈10.1051/proc/201341002〉. 〈hal-00812964v2〉
  • Franck Boyer. Analysis of the upwind finite volume method for general initial and boundary value transport problems. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2012, 32 (4), pp.1404-1439. 〈10.1093/imanum/drr031〉. 〈hal-00559586v2〉
  • Franck Boyer, Sebastian Minjeaud. Numerical schemes for a three component Cahn-Hilliard model. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2011, 45 (4), pp 697-738. 〈10.1051/m2an/2010072〉. 〈hal-00390065v2〉
  • Franck Boyer, Florence Hubert, Jérôme Le Rousseau. Uniform null-controllability properties for space/time-discretized parabolic equations. Numerische Mathematik, Springer Verlag, 2011, 118, pp 601-661. 〈10.1007/s00211-011-0368-1〉. 〈hal-00429197〉
  • Franck Boyer, Céline Lapuerta, Sebastian Minjeaud, Bruno Piar, Michel Quintard. Cahn-Hilliard / Navier-Stokes model for the simulation of three-phase flows. Transport in Porous Media, Springer Verlag, 2010, 82 (3), pp. 463-483. 〈10.1007/s11242-009-9408-z〉. 〈hal-00860768〉
  • Franck Boyer, Florence Hubert, Jérôme Le Rousseau. Discrete Carleman estimates for elliptic operators in arbitrary dimension and applications. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2010, 48 (8), pp. 5357-5397. 〈10.1137/100784278〉. 〈hal-00450854v2〉
  • Franck Boyer, Florence Hubert, Jérôme Le Rousseau. Discrete Carleman estimates for elliptic operators and uniform controllability of semi-discretized parabolic equations. Journal de Mathématiques Pures et Appliquées, Elsevier, 2010, 93 (3), pp.240-273. 〈10.1016/j.matpur.2009.11.003〉. 〈hal-00366496v2〉
  • Franck Boyer, Florence Hubert, Stella Krell. Non-overlapping Schwarz algorithm for solving 2D m-DDFV schemes. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2010, 30 (4), Pp 1062-1100. 〈10.1093/imanum/drp001〉. 〈hal-00307185v2〉
  • Philippe Angot, Franck Boyer, Florence Hubert. Asymptotic and numerical modelling of flows in fractured porous media. Modelisation Mathématique et Analyse Numérique, EDP sciences SMAI, 2009, 23 (2), pp.239--275. 〈hal-00127023v2〉
  • Franck Boyer, Céline Lapuerta, Sebastian Minjeaud, Bruno Piar. A local adaptive refinement method with multigrid preconditionning illustrated by multiphase flows simulations.. ESAIM: Proceedings, EDP Sciences, 2009, 27, pp 15-53. 〈10.1051/proc/2009018〉. 〈hal-00307186v2〉
  • Franck Boyer, Florence Hubert. Finite volume method for 2D linear and nonlinear elliptic problems with discontinuities. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2008, 46, pp 3032-3070. 〈10.1137/060666196〉. 〈hal-00110436〉
  • Boris Andreianov, Franck Boyer, Florence Hubert. Discrete duality finite volume schemes for Leray-Lions type elliptic problems on general 2D meshes. Numerical Methods for PDEs, 2007, 23, pp 145-195. 〈10.1002/num.20170〉. 〈hal-00005779v2〉
  • Franck Boyer, Pierre Fabrie. Outflow boundary conditions for the incompressible non-homogeneous Navier-Stokes equations. Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2007, 7 (2), pp 219-250. 〈hal-00112113〉
  • Boris Andreianov, Franck Boyer, Florence Hubert. On the finite-volume approximation of regular solutions of the $p$-Laplacian. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2006, 26 (3), pp. 472-502. 〈10.1093/imanum/dri047〉. 〈hal-00475905〉
  • Franck Boyer, Céline Lapuerta. Study of a three component Cahn-Hilliard flow model. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2006, 40 (4), pp.653-687. 〈10.1051/m2an:2006028〉. 〈hal-00012276v2〉
  • Franck Boyer. Trace theorems and spatial continuity properties for the solutions of the transport equation. Differential and integral equations, Khayyam Publishing, 2005, 18 no 8, pp.891-934. 〈hal-00004420〉
  • Boris Andreianov, Franck Boyer, Florence Hubert. Besov regularity and new error estimates for finite volume approximations of the p-laplacian. Numerische Mathematik, Springer Verlag, 2005, 100 no 4, p. 565-592. 〈10.1007/s00211-005-0591-8〉. 〈hal-00004419〉
  • Franck Boyer, Laurent Chupin, Pierre Fabrie. Numerical study of viscoelastic mixtures through a Cahn-Hilliard flow model. European Journal of Mechanics - B/Fluids, Elsevier, 2004, 23 no 5, pp 759-780. 〈hal-00004087〉
  • Boris Andreianov, Franck Boyer, Florence Hubert. Finite volume schemes for the p-laplacian on cartesian meshes. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2004, 38 no 6, pp 931-959. 〈10.1051/m2an:2004045〉. 〈hal-00004088〉
  • Franck Boyer, Pierre Fabrie. Persistency of 2D perturbations of one-dimensional solutions for a Cahn-Hilliard flow model under high shear. Asymptotic Analysis, IOS Press, 2003, 33 no 2, pp 107-151. 〈hal-00004086〉
  • Franck Boyer. A theoretical and numerical model for the study of incompressible mixture flows. Computers and Fluids, Elsevier, 2002, 31 no 1, pp 41-68. 〈hal-00004084〉
  • Franck Boyer. Nonhomogeneous Cahn-Hilliard fluids. Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2001, 18 no 2, pp 225-259. 〈hal-00004085〉
  • Franck Boyer. Mathematical study of multiphase flow under shear through order parameter formulation. Asymptotic Analysis, IOS Press, 1999, 20, pp 175-212. 〈hal-00004083〉

Communication dans un congrès6 documents

  • Franck Boyer, Florence Hubert, Jérôme Le Rousseau. On the approximation of the null-controllability problem for parabolic equations. 18th Conference on Scientific Computing Vysoké Tatry, Mar 2009, Podbanske, Slovakia. pp.101-110, 2009. 〈hal-00839312〉
  • Franck Boyer, Florence Hubert. Benchmark for anisotropic problems. the ddfv "discrete duality finite volumes" and m-ddfv schemes. FVCA5, Jun 2008, Aussois, France. pp.735-750, 2008. 〈hal-00839317〉
  • Franck Boyer, Florence Hubert. The m-ddfv method for heterogeneous linear and nonlinear elliptic problems. FVCA5, Jun 2008, Aussois, France. pp.217-224, 2008. 〈hal-00839319〉
  • Franck Boyer, Florence Hubert, Stella Krell. Non-overlapping Schwarz algorithm for DDFV on general 2D meshes. FVCA5, Jun 2008, Aussois, France. pp.225-232, 2008. 〈hal-00839330〉
  • Franck Boyer, Florence Hubert. Finite volume method for nonlinear transmission problems. Proceedings of 17th International Conference on Domain Decomposition Methods, Jul 2006, Strobl, Austria. Springer Verlag, 2007, Lecture Notes in Computational Science and Engineering (LNCSE). 〈hal-00178005〉
  • Boris Andreianov, Franck Boyer, Florence Hubert. Discrete Besov framework for finite volume approximation of the $p$-Laplacian on non-uniform Cartesian grids. J.-F. Gerbeau and S. Labbé. Paris-sud working group on modelling and scientific computing 2006-2007, 2006, Orsay, France. EDP Sciences, 18, pp.1-10, 2007, ESAIM: PROCEEDINGS. 〈hal-00475892〉

Ouvrage (y compris édition critique et traduction)2 documents

  • Franck Boyer, Pierre Fabrie. Mathematical tools for the study of the incompressible Navier-Stokes equations and related models. Springer New York, pp.538, 2012, Applied Mathematical Sciences, 978-1-4614-5974-3. 〈10.1007/978-1-4614-5975-0〉. 〈hal-00777731〉
  • Franck Boyer, Pierre Fabrie. Eléments d'analyse pour l'étude de quelques modèles d'écoulements de fluides visqueux incompressibles. SPRINGER, 405 p., 2006. 〈hal-00012186〉

Pré-publication, Document de travail4 documents

  • Franck Boyer, Víctor Hernández-Santamaría, Luz De Teresa. Insensitizing controls for a semilinear parabolic equation: a numerical approach. 2017. 〈hal-01521642〉
  • Thomas Blanc, Mihai Bostan, Franck Boyer. Asymptotic analysis of parabolic equations with stiff transport terms by a multi-scale approach. 2017. 〈hal-01242679v3〉
  • Damien Allonsius, Franck Boyer, Morgan Morancey. SPECTRAL ANALYSIS OF DISCRETE ELLIPTIC OPERATORS AND APPLICATIONS IN CONTROL THEORY. 2016. 〈hal-01422168〉
  • Franck Boyer, Flore Nabet. A DDFV method for a Cahn-Hilliard/Stokes phase field model with dynamic boundary conditions. 2015. 〈hal-01249262v2〉

HDR1 document

  • Franck Boyer. Modélisation, Analyse et Approximation numérique en mécanique des fluides. Mathématiques [math]. Université de Provence - Aix-Marseille I, 2006. 〈tel-00104532〉