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Franck Boyer

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Presentation

**Institut de Mathématiques de Toulouse** ----------------------------------------- [Lien vers ma page personnelle](http://www.math.univ-toulouse.fr/~fboyer) -------------------------------------------------------------------------

Publications

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Boundary null controllability of some multi-dimensional linear parabolic systems by the moment method

Franck Boyer , Guillaume Olive
Annales de l'Institut Fourier, In press
Journal articles hal-03175706v2
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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⟩
Journal articles hal-02397706v4
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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, inPress, ⟨10.3934/mcrf.2023035⟩
Journal articles hal-03737472v3
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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, pp.4799-4843
Journal articles hal-02471592v1
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Boundary null-controllability of coupled parabolic systems with Robin conditions

Kuntal Bhandari , Franck Boyer
Evolution Equations and Control Theory (EECT), 2021, 10 (1), pp.61-102. ⟨10.3934/eect.2020052⟩
Journal articles hal-02091091v2
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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⟩
Journal articles hal-02748405v3
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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⟩
Journal articles hal-01949391v2
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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⟩
Journal articles hal-02121672v1
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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⟩
Journal articles hal-01827044v3
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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⟩
Journal articles hal-01521642v2
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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⟩
Journal articles hal-01422168v2
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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
Journal articles hal-01328667v2
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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⟩
Journal articles hal-01242679v3
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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⟩
Journal articles hal-01249262v2
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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⟩
Journal articles hal-01134988v3
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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⟩
Journal articles hal-00795362v2
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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⟩
Journal articles hal-00933674v1
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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⟩
Journal articles hal-00848709v2
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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⟩
Journal articles hal-00724766v1
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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⟩
Journal articles hal-00845994v1
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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⟩
Journal articles hal-00812964v2
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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⟩
Journal articles hal-00721597v2
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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⟩
Journal articles hal-00559586v2
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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⟩
Journal articles hal-00390065v2
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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⟩
Journal articles hal-00429197v1
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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⟩
Journal articles hal-00366496v2
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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⟩
Journal articles hal-00450854v2
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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⟩
Journal articles hal-00307185v2

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⟩
Journal articles hal-00860768v1
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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
Journal articles hal-00127023v2
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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⟩
Journal articles hal-00307186v2
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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⟩
Journal articles hal-00110436v1
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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⟩
Journal articles hal-00005779v2
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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⟩
Journal articles hal-00112113v1
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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⟩
Journal articles 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⟩
Journal articles hal-00475905v1
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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⟩
Journal articles hal-00004419v1
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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
Journal articles hal-00004420v1
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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⟩
Journal articles hal-00004088v1
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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
Journal articles hal-00004087v1
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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
Journal articles hal-00004086v1
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A theoretical and numerical model for the study of incompressible mixture flows

Franck Boyer
Computers and Fluids, 2002, 31 no 1, pp 41-68
Journal articles hal-00004084v1
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Nonhomogeneous Cahn-Hilliard fluids

Franck Boyer
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2001, 18 no 2, pp 225-259
Journal articles hal-00004085v1
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Mathematical study of multiphase flow under shear through order parameter formulation

Franck Boyer
Asymptotic Analysis, 1999, 20, pp 175-212
Journal articles hal-00004083v1

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
Conference papers hal-00839312v1

The m-ddfv method for heterogeneous linear and nonlinear elliptic problems

Franck Boyer , Florence Hubert
FVCA5, Jun 2008, Aussois, France. pp.217-224
Conference papers hal-00839319v1

Non-overlapping Schwarz algorithm for DDFV on general 2D meshes

Franck Boyer , Florence Hubert , Stella Krell
FVCA5, Jun 2008, Aussois, France. pp.225-232
Conference papers hal-00839330v1

Benchmark for anisotropic problems. the ddfv "discrete duality finite volumes" and m-ddfv schemes

Franck Boyer , Florence Hubert
FVCA5, Jun 2008, Aussois, France. pp.735-750
Conference papers hal-00839317v1
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Finite volume method for nonlinear transmission problems

Franck Boyer , Florence Hubert
Proceedings of 17th International Conference on Domain Decomposition Methods, Jul 2006, Strobl, Austria
Conference papers 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
Conference papers hal-00475892v1
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Modélisation, Analyse et Approximation numérique en mécanique des fluides

Franck Boyer
Mathématiques [math]. Université de Provence - Aix-Marseille I, 2006
Habilitation à diriger des recherches tel-00104532v1