
Florence • Hubert
Professeure (PR) • Affiliation : Aix-Marseille Université (AMU)
Site : Saint-Charles • Bureau : CO-03b • Etage du bureau : 1 (bât. 8) •
Professeure à l’Université d’Aix-Marseille depuis septembre 2016.
Responsable du groupe AA (depuis le 01/01/2018).
Groupe(s) scientifiques(s) de l'utilisateur :
Thématiques scientifiques :
- Analyse numérique et calcul scientifique
- EDP elliptiques
- EDP Hyperboliques
- EDP parabolique, dynamique des populations
- Mathématiques pour l'évolution et la biologie
- Modélisation, équations liées à la biologie
Publications HAL
2021/09 Vietnam Journal of Mathematics - Discrete Optimization of Robin Transmission Conditions for Anisotropic Diffusion with Discrete Duality Finite Volume Methods2021/07 Moroccan Journal of Pure and Applied Analysis - Optimized Schwarz methods with general Ventcell transmission conditions for fully anisotropic diffusion with discrete duality finite volume discretizations
2020/06 - Optimized Overlapping DDFV Schwarz Algorithms
2020/01 Mathematical Modelling of Natural Phenomena - Microtubules (MT) a key target in oncology: mathematical modeling of anti-MT agents on cell migration
2019/01 Bulletin of Mathematical Biology - A Growth-Fragmentation Approach for Modeling Microtubule Dynamic Instability
2018/11 ESAIM: Mathematical Modelling and Numerical Analysis - Mathematical modeling of microtubule dynamic instability: new insight into the link between gtp-hydrolysis and microtubule aging
2018/10 ESAIM: Proceedings and Surveys - Mathematical Modeling of Effect Of Microtubule-Targeted Agents On Microtubule Dynamic Instability
2017/06 - Weno Scheme for Transport Equation on Unstructured Grids with a DDFV Approach
2017/06 Journal of theoritical biology - Exploring the effect of end-binding proteins and microtubule targeting chemotherapy drugs on microtubule dynamic instability
2017/05 PLoS ONE - Study of metastatic kinetics in metastatic melanoma treated with B-RAF inhibitors: Introducing mathematical modelling of kinetics into the therapeutic decision
2016/12 ESAIM: Proceedings and Surveys - Cell motility in confinement: a computational model for the shape of the cell
2016/07 A3 magazine - L'adhésion thérapeutique : un nouveau challenge pour les mathématiques
2015/03 - Mathematical modeling of the microtubule dynamic instability: a new approch of GTP-tubulin hydrolysis
2014/11 Cancer Research - Mathematical modeling of tumor growth and metastatic spreading: validation in tumor-bearing mice.
2014/06 - An Efficient Implementation of a 3D CeVeFE DDFV Scheme on Cartesian Grids and an Application in Image Processing
2014/04 - Model-based optimization of combined antiangiogenic + cytotoxics modalities: application to the bevacizumab-paclitaxel association in breast cancer models
2014/01 - A Mathematical Model for Growing Metastases on Oncologists’s Service
2014/01 SIAM Journal on Numerical Analysis - A Finite Volume Ventcell-Schwarz Algorithm for Advection-Diffusion Equations
2013/12 ESAIM: Proceedings and Surveys - Mathematical model of cancer growth controled by metronomic chemotherapies
2013/09 - DDFV Schwarz Ventcell algorithms
2013/06 Computational Methods in Applied Mathematics - On 3D DDFV discretization of gradient and divergence operators. II. Discrete functional analysis tools and applications to degenerate parabolic problems.
2012/11 - Quantitative Analysis of the Tumor/Metastasis System and its Optimal Therapeutic Control
2012/10 IMA Journal of Numerical Analysis - On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality.
2012/06 - A new finite volume Schwarz algorithm for advection-diffusion equations
2012/06 - Optimized Schwarz algorithms in the framework of DDFV schemes
2012/01 Comptes rendus de l'Académie des sciences. Série I, Mathématique - A new mathematical model for optimizing the combination between antiangiogenic and cytotoxic drugs in oncology
2012/01 Mathematical Model Natural Phenomenon - Modeling the impact of anticancer agents on metastatic spreading
2011/08 Oncologie - Modélisation du risque d'évolution métastatique chez les patients supposés avoir une maladie localisée
2011/08 SIAM Journal on Scientific Computing - A 3D DISCRETE DUALITY FINITE VOLUME METHOD FOR NONLINEAR ELLIPTIC EQUATIONS
2011/06 - 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids
2011/06 - Benchmark 3D: CeVeFE-DDFV, a discrete duality scheme with cell/vertex/face+edge unknowns
2011/06 - A CeVeFE DDFV scheme for discontinuous anisotropic permeability tensors
2011/06 - Benchmark 3D: a version of the DDFV scheme with cell/vertex unknowns on general meshes
2011/01 Numerische Mathematik - Uniform null-controllability properties for space/time-discretized parabolic equations
2010/11 SIAM Journal on Control and Optimization - Discrete Carleman estimates for elliptic operators in arbitrary dimension and applications
2010/08 ESAIM: Proceedings - Numerical study of the stopping of aura during migraine
2010/03 Journal de Mathématiques Pures et Appliquées - Discrete Carleman estimates for elliptic operators and uniform controllability of semi-discretized parabolic equations
2010/01 IMA Journal of Numerical Analysis - Non-overlapping Schwarz algorithm for solving 2D m-DDFV schemes
2009/03 - A 3D DISCRETE DUALITY FINITE VOLUME METHOD FOR NONLINEAR ELLIPTIC EQUATIONS
2009/03 - On the approximation of the null-controllability problem for parabolic equations
2009/03 Mathematical Biosciences - Mathematical and numerical analysis for a model of growing metastatic tumors
2009/02 Comptes rendus de l’Académie des sciences. Série IIb, Mécanique - Algorithm to refine a finite volume mesh admissible for parabolic problems
2009/01 ESAIM: Mathematical Modelling and Numerical Analysis - Asymptotic and numerical modelling of flows in fractured porous media
2009/01 Comptes rendus de l’Académie des sciences. Série IIb, Mécanique - Algorithm to refine a finite volume mesh admissble for parabolic problems
2008/06 - Benchmark for anisotropic problems. the ddfv "discrete duality finite volumes" and m-ddfv schemes
2008/06 - The m-ddfv method for heterogeneous linear and nonlinear elliptic problems
2008/06 - Non-overlapping Schwarz algorithm for DDFV on general 2D meshes
2008/06 - Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids
2008/01 SIAM Journal on Numerical Analysis - Finite volume method for 2D linear and nonlinear elliptic problems with discontinuities
2007/05 Communications in Partial Differential Equations - Fast-slow dynamics for parabolic perturbations of conservation laws
2007/01 Numerical Methods for Partial Differential Equations - Discrete duality finite volume schemes for Leray-Lions type elliptic problems on general 2D meshes
2006/07 - Finite volume method for nonlinear transmission problems
2006/01 - Discrete Besov framework for finite volume approximation of the $p$-Laplacian on non-uniform Cartesian grids
2006/01 IMA Journal of Numerical Analysis - On the finite-volume approximation of regular solutions of the $p$-Laplacian
2005/01 Numerische Mathematik - Besov regularity and new error estimates for finite volume approximations of the p-laplacian
2004/01 ESAIM: Mathematical Modelling and Numerical Analysis - Finite volume schemes for the p-laplacian on cartesian meshes
2004/01 IMA Journal of Numerical Analysis - The Lions domain decomposition algorithm on non matching cell-centered finite volume meshes
1999/01 Chinese Annals of Mathematics - Series B - ON THE CONVERGENCE OF THE PARABOLIC APPROXIMATION OF A CONSERVATION LAW IN SEVERAL SPACE DIMENSIONS
1998/01 Differential and integral equations - Global existence for hyperbolic-parabolic systems with large periodic initial data
1997/01 Applied Mathematics Letters - Viscous perturbations of isometric solutions of the Keytz-Kranzer system
1996/01 Comptes rendus hebdomadaires des séances de l’Académie des sciences. Série A, Sciences mathématiques - Dynamique lente-rapide pour des perturbations de systemes de lois de conservation