Franck Boyer

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Institut de Mathématiques de Toulouse

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Publications

Article dans une revue (46)

Distributed null-controllability of some 1D cascade parabolic systems Franck Boyer,Morgan Morancey Annales Mathématiques Blaise Pascal, In press Article dans une revue hal-03922940v1
Local exact controllability to the steady states of a parabolic system with coupled nonlinear boundary conditions Kuntal Bhandari,Franck Boyer Mathematical Control and Related Fields, 2024, 14 (3), pp.1086-1127. ⟨10.3934/mcrf.2023035⟩ Article dans une revue hal-03737472v3
Modeling oxygen transport in the brain: An efficient coarse-grid approach to capture perivascular gradients in the parenchyma David Pastor Alonso,Berg Maxime,Franck Boyer,Natalie Fomin-Thunemann,Michel Quintardet al. PLoS Computational Biology, 2024, 20 (5), pp.e1011973. ⟨10.1371/journal.pcbi.1011973⟩ Article dans une revue hal-04612077v2
Boundary null controllability of some multi-dimensional linear parabolic systems by the moment method Franck Boyer,Guillaume Olive Annales de l'Institut Fourier, 2024, 74 (5), pp.1943-2012. ⟨10.5802/aif.3639⟩ Article dans une revue hal-03175706v2
Analysis of non scalar control problems for parabolic systems by the block moment method Franck Boyer,Morgan Morancey Comptes Rendus. Mathématique, 2023, 361, pp.1191-1248. ⟨10.5802/crmath.487⟩ Article dans une revue hal-02397706v4
Boundary null-controllability of 1-D coupled parabolic systems with Kirchhoff-type condition Kuntal Bhandari,Franck Boyer,Víctor Hernández-Santamaría Mathematics of Control, Signals, and Systems, 2021, 33 (3), pp.413--471. ⟨10.1007/s00498-021-00285-z⟩ Article dans une revue hal-02748405v3
Analysis of the null-controllability of degenerate parabolic systems of Grushin type via the moments method Damien Allonsius,Franck Boyer,Morgan Morancey Journal of Evolution Equations, 2021, 21 (4), pp.4799-4843. ⟨10.1007/s00028-021-00733-y⟩ Article dans une revue hal-02471592v1
Boundary null-controllability of coupled parabolic systems with Robin conditions Kuntal Bhandari,Franck Boyer Evolution Equations and Control Theory, 2021, 10 (1), pp.61-102. ⟨10.3934/eect.2020052⟩ Article dans une revue hal-02091091v2
A block moment method to handle spectral condensation phenomenon in parabolic control problems Assia Benabdallah,Franck Boyer,Morgan Morancey Annales Henri Lebesgue, 2020, 3, pp.717-793. ⟨10.5802/ahl.45⟩ Article dans une revue hal-01949391v2
Carleman estimates for time-discrete parabolic equations and applications to controllability Franck Boyer,Víctor Hernández-Santamaría ESAIM: Control, Optimisation and Calculus of Variations, 2020, 26, ⟨10.1051/cocv/2019072⟩ Article dans une revue hal-02121672v1
Boundary null-controllability of semi-discrete coupled parabolic systems in some multi-dimensional geometries Damien Allonsius,Franck Boyer Mathematical Control and Related Fields, 2020, 10 (2), pp.217-256. ⟨10.3934/mcrf.2019037⟩ Article dans une revue hal-01827044v3
Insensitizing controls for a semilinear parabolic equation: a numerical approach Franck Boyer,Víctor Hernández-Santamaría,Luz de Teresa Mathematical Control and Related Fields, 2019, 9 (1), pp.117-158. ⟨10.3934/mcrf.2019007⟩ Article dans une revue hal-01521642v2
Spectral analysis of discrete elliptic operators and applications in control theory Damien Allonsius,Franck Boyer,Morgan Morancey Numerische Mathematik, 2018, 140 (4), pp.857--911. ⟨10.1007/s00211-018-0983-1⟩ Article dans une revue hal-01422168v2
Error estimate for the upwind scheme for the linear transport equation with boundary data Nina Aguillon,Franck Boyer IMA Journal of Numerical Analysis, 2018, 38 (2), pp.669-719 Article dans une revue hal-01328667v2
Asymptotic analysis of parabolic equations with stiff transport terms by a multi-scale approach Thomas Blanc,Mihai Bostan,Franck Boyer Discrete and Continuous Dynamical Systems - Series A, 2017, 37 (9), pp.4637-4676. ⟨10.3934/dcds.2017200⟩ Article dans une revue hal-01242679v3
A DDFV method for a Cahn-Hilliard/Stokes phase field model with dynamic boundary conditions Franck Boyer,Flore Nabet ESAIM: Mathematical Modelling and Numerical Analysis, 2017, 51 (5), pp.1691-1731 ⟨10.1051/m2an/2016073⟩ Article dans une revue hal-01249262v2
On a functional inequality arising in the analysis of finite-volume methods Pierre Bousquet,Franck Boyer,Flore Nabet Calcolo, 2016, 53 (3), pp.363-397. ⟨10.1007/s10092-015-0153-0⟩ Article dans une revue hal-01134988v3
Inf-Sup Stability of the Discrete Duality Finite Volume method for the 2D Stokes problem Franck Boyer,Stella Krell,Flore Nabet Mathematics of Computation, 2015, 84, pp.2705--2742. ⟨10.1090/mcom/2956⟩ Article dans une revue hal-00795362v2
Hierarchy of consistent n-component Cahn-Hilliard systems Franck Boyer,Sebastian Minjeaud Mathematical Models and Methods in Applied Sciences, 2014, 24 (14), pp.2885-2928. ⟨10.1142/S0218202514500407⟩ Article dans une revue hal-00933674v1
Approximate controllability conditions for some linear 1D parabolic systems with space-dependent coefficients Franck Boyer,Guillaume Olive Mathematical Control and Related Fields, 2014, 4 (3), pp.263-287. ⟨10.3934/mcrf.2014.4.263⟩ Article dans une revue hal-00848709v2
Carleman estimates for semi-discrete parabolic operators and application to the controllability of semi-linear semi-discrete parabolic equations Franck Boyer,Jérôme Le Rousseau Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2014, 31 (5), pp.1035-1078. ⟨10.1016/j.anihpc.2013.07.011⟩ Article dans une revue hal-00724766v1
Sharp estimates of the one-dimensional boundary control cost for parabolic systems and application to the $N$-dimensional boundary null-controllability in cylindrical domains Assia Benabdallah,Franck Boyer,Manuel Gonzalez-Burgos,Guillaume Olive SIAM Journal on Control and Optimization, 2014, 52 (5), pp.2970-3001. ⟨10.1137/130929680⟩ Article dans une revue hal-00845994v1
Stability of a Crank-Nicolson Pressure Correction Scheme Based on Staggered Discretizations Franck Boyer,Fanny Dardalhon,Céline Lapuerta,Jean-Claude Latché International Journal for Numerical Methods in Fluids, 2013, 74 (1), pp.34-58. ⟨10.1002/fld.3837⟩ Article dans une revue hal-00721597v2
On the penalised HUM approach and its applications to the numerical approximation of null-controls for parabolic problems Franck Boyer ESAIM: Proceedings, 2013, 41, pp. 15-58. ⟨10.1051/proc/201341002⟩ Article dans une revue hal-00812964v2
Analysis of the upwind finite volume method for general initial and boundary value transport problems Franck Boyer IMA Journal of Numerical Analysis, 2012, 32 (4), pp.1404-1439. ⟨10.1093/imanum/drr031⟩ Article dans une revue hal-00559586v2
Numerical schemes for a three component Cahn-Hilliard model Franck Boyer,Sebastian Minjeaud ESAIM: Mathematical Modelling and Numerical Analysis, 2011, 45 (4), pp 697-738. ⟨10.1051/m2an/2010072⟩ Article dans une revue hal-00390065v2
Uniform null-controllability properties for space/time-discretized parabolic equations Franck Boyer,Florence Hubert,Jérôme Le Rousseau Numerische Mathematik, 2011, 118, pp 601-661. ⟨10.1007/s00211-011-0368-1⟩ Article dans une revue istex hal-00429197v1
Discrete Carleman estimates for elliptic operators and uniform controllability of semi-discretized parabolic equations Franck Boyer,Florence Hubert,Jérôme Le Rousseau Journal de Mathématiques Pures et Appliquées, 2010, 93 (3), pp.240-273. ⟨10.1016/j.matpur.2009.11.003⟩ Article dans une revue hal-00366496v2
Cahn-Hilliard / Navier-Stokes model for the simulation of three-phase flows Franck Boyer,Céline Lapuerta,Sebastian Minjeaud,Bruno Piar,Michel Quintard Transport in Porous Media, 2010, 82 (3), pp. 463-483. ⟨10.1007/s11242-009-9408-z⟩ Article dans une revue istex hal-00860768v1
Discrete Carleman estimates for elliptic operators in arbitrary dimension and applications Franck Boyer,Florence Hubert,Jérôme Le Rousseau SIAM Journal on Control and Optimization, 2010, 48 (8), pp. 5357-5397. ⟨10.1137/100784278⟩ Article dans une revue hal-00450854v2
Non-overlapping Schwarz algorithm for solving 2D m-DDFV schemes Franck Boyer,Florence Hubert,Stella Krell IMA Journal of Numerical Analysis, 2010, 30 (4), Pp 1062-1100. ⟨10.1093/imanum/drp001⟩ Article dans une revue istex hal-00307185v2
A local adaptive refinement method with multigrid preconditionning illustrated by multiphase flows simulations. Franck Boyer,Céline Lapuerta,Sebastian Minjeaud,Bruno Piar ESAIM: Proceedings, 2009, 27, pp 15-53. ⟨10.1051/proc/2009018⟩ Article dans une revue hal-00307186v2
Asymptotic and numerical modelling of flows in fractured porous media Philippe Angot,Franck Boyer,Florence Hubert ESAIM: Mathematical Modelling and Numerical Analysis, 2009, 23 (2), pp.239--275 Article dans une revue hal-00127023v2
Finite volume method for 2D linear and nonlinear elliptic problems with discontinuities Franck Boyer,Florence Hubert SIAM Journal on Numerical Analysis, 2008, 46, pp 3032-3070. ⟨10.1137/060666196⟩ Article dans une revue hal-00110436v1
Discrete duality finite volume schemes for Leray-Lions type elliptic problems on general 2D meshes Boris Andreianov,Franck Boyer,Florence Hubert Numerical Methods for Partial Differential Equations, 2007, 23, pp 145-195. ⟨10.1002/num.20170⟩ Article dans une revue hal-00005779v2
Outflow boundary conditions for the incompressible non-homogeneous Navier-Stokes equations Franck Boyer,Pierre Fabrie Discrete and Continuous Dynamical Systems - Series B, 2007, 7 (2), pp 219-250. ⟨10.3934/dcdsb.2007.7.219⟩ Article dans une revue hal-00112113v1
Study of a three component Cahn-Hilliard flow model Franck Boyer,Céline Lapuerta ESAIM: Mathematical Modelling and Numerical Analysis, 2006, 40 (4), pp.653-687. ⟨10.1051/m2an:2006028⟩ Article dans une revue hal-00012276v2
On the finite-volume approximation of regular solutions of the $p$-Laplacian Boris Andreianov,Franck Boyer,Florence Hubert IMA Journal of Numerical Analysis, 2006, 26 (3), pp. 472-502. ⟨10.1093/imanum/dri047⟩ Article dans une revue istex hal-00475905v1
Trace theorems and spatial continuity properties for the solutions of the transport equation Franck Boyer Differential and integral equations, 2005, 18 no 8, pp.891-934 Article dans une revue hal-00004420v1
Besov regularity and new error estimates for finite volume approximations of the p-laplacian Boris Andreianov,Franck Boyer,Florence Hubert Numerische Mathematik, 2005, 100 no 4, p. 565-592. ⟨10.1007/s00211-005-0591-8⟩ Article dans une revue hal-00004419v1
Numerical study of viscoelastic mixtures through a Cahn-Hilliard flow model Franck Boyer,Laurent Chupin,Pierre Fabrie European Journal of Mechanics - B/Fluids, 2004, 23 no 5, pp 759-780 Article dans une revue hal-00004087v1
Finite volume schemes for the p-laplacian on cartesian meshes Boris Andreianov,Franck Boyer,Florence Hubert ESAIM: Mathematical Modelling and Numerical Analysis, 2004, 38 no 6, pp 931-959. ⟨10.1051/m2an:2004045⟩ Article dans une revue hal-00004088v1
Persistency of 2D perturbations of one-dimensional solutions for a Cahn-Hilliard flow model under high shear Franck Boyer,Pierre Fabrie Asymptotic Analysis, 2003, 33 no 2, pp 107-151 Article dans une revue hal-00004086v1
A theoretical and numerical model for the study of incompressible mixture flows Franck Boyer Computers and Fluids, 2002, 31 no 1, pp 41-68 Article dans une revue hal-00004084v1
Nonhomogeneous Cahn-Hilliard fluids Franck Boyer Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2001, 18 no 2, pp 225-259 Article dans une revue hal-00004085v1
Mathematical study of multiphase flow under shear through order parameter formulation Franck Boyer Asymptotic Analysis, 1999, 20, pp 175-212 Article dans une revue hal-00004083v1

Communication dans un congrès (8)

Development of a multiscale model of molecular transport in the brain microcirculation David Pastor Alonso,Yohan Davit,Franck Boyer,Michel Quintard,Sylvie Lorthois PET 2022. BRAIN & BRAIN PET 2022, May 2022, Glasgow, United Kingdom Communication dans un congrès hal-04903594v1
Modèles de champs de phase pour des écoulements multiphasiques Franck Boyer CFM 2015 - 22ème Congrès Français de Mécanique, Aug 2015, Lyon, France Communication dans un congrès hal-03444631v1
On the approximation of the null-controllability problem for parabolic equations Franck Boyer,Florence Hubert,Jérôme Le Rousseau 18th Conference on Scientific Computing Vysoké Tatry, Mar 2009, Podbanske, Slovakia. pp.101-110 Communication dans un congrès hal-00839312v1
Benchmark for anisotropic problems. the ddfv &quot;discrete duality finite volumes&quot; and m-ddfv schemes Franck Boyer,Florence Hubert FVCA5, Jun 2008, Aussois, France. pp.735-750 Communication dans un congrès hal-00839317v1
Non-overlapping Schwarz algorithm for DDFV on general 2D meshes Franck Boyer,Florence Hubert,Stella Krell FVCA5, Jun 2008, Aussois, France. pp.225-232 Communication dans un congrès hal-00839330v1
The m-ddfv method for heterogeneous linear and nonlinear elliptic problems Franck Boyer,Florence Hubert FVCA5, Jun 2008, Aussois, France. pp.217-224 Communication dans un congrès hal-00839319v1
Finite volume method for nonlinear transmission problems Franck Boyer,Florence Hubert Proceedings of 17th International Conference on Domain Decomposition Methods, Jul 2006, Strobl, Austria Communication dans un congrès hal-00178005v1
Discrete Besov framework for finite volume approximation of the $p$-Laplacian on non-uniform Cartesian grids Boris Andreianov,Franck Boyer,Florence Hubert Paris-sud working group on modelling and scientific computing 2006-2007, 2006, Orsay, France. pp.1-10 Communication dans un congrès hal-00475892v1

Ouvrages (2)

Mathematical tools for the study of the incompressible Navier-Stokes equations and related models Franck Boyer,Pierre Fabrie Springer New York, pp.538, 2012, Applied Mathematical Sciences, 978-1-4614-5974-3. ⟨10.1007/978-1-4614-5975-0⟩ Ouvrages hal-00777731v1
Eléments d'analyse pour l'étude de quelques modèles d'écoulements de fluides visqueux incompressibles Franck Boyer,Pierre Fabrie SPRINGER, 405 p., 2006 Ouvrages hal-00012186v1

Pré-publication, Document de travail (4)

Analysis of a Fluid-Structure Interaction system involving an Euler-Bernoulli beam model with a free end boundary condition Franck Boyer,Diego Gajardo,Jean-Pierre Raymond,Michel Fournié 2025 Pré-publication, Document de travail hal-05061925v1
Null controllability of coupled parabolic equations with first-order perturbations Hugo Parada,Franck Boyer 2025 Pré-publication, Document de travail hal-04872795v1
Study of the stationary Stokes system with mixed boundary conditions in non-convex curvilinear polygonal domains Franck Boyer,Michel Fournié,Diego Gajardo,Jean-Pierre Raymond 2025 Pré-publication, Document de travail hal-05060878v2
Boundary controllability of time-discrete parabolic systems: a moments method approach Franck Boyer,Víctor Hernández-Santamaría 2025 Pré-publication, Document de travail hal-04628708v2

HDR (1)

Modélisation, Analyse et Approximation numérique en mécanique des fluides Franck Boyer Mathématiques [math]. Université de Provence - Aix-Marseille I, 2006 HDR tel-00104532v1

Cours (1)

Controllability of linear parabolic equations and systems Franck Boyer Master. France. 2022 Cours hal-02470625v4

Vidéo (1)

Frank Boyer - Solutions peu régulières de l'équation de transport Franck Boyer,Antoine Orlandi,Fanny Bastien 2017 Vidéo medihal-01763822v1