Publications HAL

2021/09 Vietnam Journal of Mathematics – Discrete Optimization of Robin Transmission Conditions for Anisotropic Diffusion with Discrete Duality Finite Volume Methods

2021/07 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 Rayonnement du CNRS – 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 SIAM Journal on Numerical Analysis – A Finite Volume Ventcell-Schwarz Algorithm for Advection-Diffusion Equations

2014/01 – A Mathematical Model for Growing Metastases on Oncologists’s Service

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 Mathematical Model Natural Phenomenon – Modeling the impact of anticancer agents on metastatic spreading

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

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 – A CeVeFE DDFV scheme for discontinuous anisotropic permeability tensors

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 – 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 – On the approximation of the null-controllability problem for parabolic equations

2009/03 – A 3D DISCRETE DUALITY FINITE VOLUME METHOD FOR NONLINEAR ELLIPTIC 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 – Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids

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

2008/01 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 IMA Journal of Numerical Analysis – On the finite-volume approximation of regular solutions of the $p$-Laplacian

2006/01 – Discrete Besov framework for finite volume approximation of the $p$-Laplacian on non-uniform Cartesian grids

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