Patrick Ciarlet
Unité de Mathématiques Appliquées (UMA)
Professeur
HDR
Je suis professeur de l'ENSTA, membre de l'équipe POEMS de l'Unité de Mathématiques Appliquées (UMA).
Mes activités de recherche s'articulent autour de deux pôles en mathématiques appliquées :
- modélisation en électromagnétisme, diffusion neutronique et mécanique des fluides ;
- analyse numérique des EDP et calcul scientifique.
Research and education activities
Responsable à l'Institut Polytechnique de Paris de la mention de master Mathématiques et Applications.
HAL Publications
-
Study of a degenerate non-elliptic equation to model plasma heating
Pré-publication, Document de travail Published on 05/07/2023 co-written by Patrick Ciarlet, Maryna Kachanovska, Etienne PEILLON -
Variational methods for solving numerically magnetostatic systems
Pré-publication, Document de travail Published on 05/07/2023 co-written by Patrick Ciarlet, E. Jamelot -
Analysis of time-harmonic Maxwell impedance problems in anisotropic media
Article dans une revue Published on 01/02/2023 co-written by Damien Chicaud, Patrick Ciarlet -
A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations
Article dans une revue Published on 01/01/2023 co-written by Patrick Ciarlet, Minh Hieu Do, François Madiot -
An optimal control-based numerical method for scalar transmission problems with sign-changing coefficients
Article dans une revue Published on 01/01/2023 co-written by Patrick Ciarlet, David Lassounon, Mahran Rihani -
Notes de cours sur les équations de Maxwell et leur approximation
Cours Published on 17/11/2022 by Patrick Ciarlet -
The T-coercivity approach for mixed problems
Pré-publication, Document de travail Published on 19/10/2022 co-written by Mathieu Barré, Patrick Ciarlet -
Notes de cours sur les méthodes variationnelles pour l'analyse et la résolution de problèmes non coercifs
Cours Published on 01/09/2022 co-written by Anne-Sophie Bonnet-Ben Dhia, Patrick Ciarlet -
Improvement of hierarchical matrices for 3D elastodynamic problems with a complex wavenumber
Article dans une revue Published on 15/02/2022 co-written by Laura Bagur, Stéphanie Chaillat, Patrick Ciarlet -
A mathematical study of a hyperbolic metamaterial in free space
Article dans une revue Published on 01/01/2022 co-written by Patrick Ciarlet, Maryna Kachanovska -
Limiting amplitude principle and resonances in plasmonic structures with corners: numerical investigation
Article dans une revue Published on 01/01/2022 co-written by Camille Carvalho, Patrick Ciarlet, Claire Scheid -
On the approximation of electromagnetic fields by edge finite elements. Part 4: analysis of the model with one sign-changing coefficient
Article dans une revue Published on 01/01/2022 by Patrick Ciarlet -
Étude de la T-coercitivité pour le problème de Stokes
Communication dans un congrès Published on 25/10/2021 co-written by Patrick Ciarlet, Erell Jamelot, Albéric Lefort -
Analysis of variational formulations and low-regularity solutions for time-harmonic electromagnetic problems in complex anisotropic media
Article dans une revue Published on 04/05/2021 co-written by Damien Chicaud, Patrick Ciarlet, Axel Modave -
Mathematical and numerical analyses for the div-curl and div-curlcurl problems with a sign-changing coefficient
Pré-publication, Document de travail Published on 10/02/2021 by Patrick Ciarlet -
On the efficiency of nested GMRES preconditioners for 3D acoustic and elastodynamic H-matrix accelerated Boundary Element Methods
Article dans une revue Published on 01/08/2020 co-written by Félix D. Kpadonou, Stéphanie Chaillat, Patrick Ciarlet -
Adaptive solution of the neutron diffusion equation with heterogeneous coefficients using the mixed finite element method on structured meshes
Communication dans un congrès Published on 29/03/2020 co-written by M.-H. Do, F. Madiot, Patrick Ciarlet -
Adaptive solution of the neutron diffusion equation with heterogeneous coefficients using the mixed finite element method on structured meshes
Communication dans un congrès Published on 29/03/2020 co-written by M.-H. Do, F. Madiot, Patrick Ciarlet -
On the approximation of electromagnetic fields by edge finite elements. Part 3: sensitivity to coefficients
Article dans une revue Published on 01/01/2020 by Patrick Ciarlet -
On the convergence in $H^1$-norm for the fractional Laplacian
Article dans une revue Published on 01/01/2019 co-written by Juan Pablo Borthagaray, Patrick Ciarlet -
Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients
Article dans une revue Published on 14/12/2018 co-written by Patrick Ciarlet, Martin Vohralík -
A Family of Crouzeix-Raviart Finite Elements in 3D
Article dans une revue Published on 01/01/2018 co-written by Patrick Ciarlet, Charles F Dunkl, Stefan A Sauter -
Mesh requirements for the finite element approximation of problems with sign-changing coefficients
Article dans une revue Published on 01/01/2018 co-written by Anne-Sophie Bonnet-Ben Dhia, Camille Carvalho, Patrick Ciarlet -
Numerical analysis of the mixed finite element method for the neutron diffusion eigenproblem with heterogeneous coefficients
Article dans une revue Published on 01/01/2018 co-written by Patrick Ciarlet, Léandre Giret, Erell Jamelot, Félix D. Kpadonou -
Theory and implementation of $\mathcal{H}$-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels
Article dans une revue Published on 08/09/2017 co-written by Stéphanie Chaillat, Luca Desiderio, Patrick Ciarlet -
Nonlocal models for interface problems between dielectrics and metamaterials
Communication dans un congrès Published on 28/08/2017 co-written by Juan Pablo Borthagaray, Patrick Ciarlet -
Eigenvalue problems with sign-changing coefficients
Article dans une revue Published on 01/06/2017 co-written by Camille Carvalho, Lucas Chesnel, Patrick Ciarlet -
On the Approximation of Electromagnetic Fields by Edge Finite Elements. Part 2: A Heterogeneous Multiscale Method for Maxwell's equations
Article dans une revue Published on 01/05/2017 co-written by Patrick Ciarlet, Sonia Fliss, Christian Stohrer -
Criticality Computation with Finite Element Method on Non-Conforming Meshes
Communication dans un congrès Published on 01/01/2017 co-written by L. Giret, Jr. Ciarlet P, E. Jamelot -
Domain decomposition methods for the diffusion equation with low-regularity solution
Article dans une revue Published on 01/01/2017 co-written by Patrick Ciarlet, Erell Jamelot, Félix D. Kpadonou -
Mathematical foundations of computational electromagnetism
Ouvrages Published on 01/01/2017 co-written by Franck Assous, Patrick Ciarlet, Simon Labrunie -
On the use of Perfectly Matched Layers at corners for scattering problems with sign-changing coefficients
Article dans une revue Published on 01/10/2016 co-written by Anne-Sophie Bonnet-Ben Dhia, Camille Carvalho, Lucas Chesnel, Patrick Ciarlet -
On the approximation of electromagnetic fields by edge finite elements. Part 1: Sharp interpolation results for low-regularity fields
Article dans une revue Published on 01/01/2016 by Patrick Ciarlet -
Intrinsic Finite Element Methods for the Computation of Fluxes for Poisson's Equation
Article dans une revue Published on 01/01/2015 co-written by Philippe G. Ciarlet, Patrick Ciarlet, Stefan Sauter, C Simian -
Finite Element Heterogeneous Multiscale Method for the Classical Helmholtz Equation
Article dans une revue Published on 01/09/2014 co-written by Patrick Ciarlet, Christian Stohrer -
T-coercivity for the Maxwell problem with sign-changing coefficients
Article dans une revue Published on 04/03/2014 co-written by Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Patrick Ciarlet -
Edge Element Methods for Maxwell's Equations with Strong Convergence for Gauss' Laws
Article dans une revue Published on 01/01/2014 co-written by Patrick Ciarlet, Haijun Wu, Jun Zou -
Analysis of the Scott-Zhang interpolation in the fractional order Sobolev spaces
Article dans une revue Published on 01/01/2013 by Patrick Ciarlet -
Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwells equations on Cartesian grids
Article dans une revue Published on 01/01/2013 co-written by Eric T. Chung, Patrick Ciarlet, Tang Fei Yu -
Domain decomposition for the neutron SPN equations
Communication dans un congrès Published on 01/01/2013 co-written by Erell Jamelot, Patrick Ciarlet, Anne-Marie Baudron, Jean-Jacques Lautard -
Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation
Article dans une revue Published on 01/01/2013 co-written by Erell Jamelot, Patrick Ciarlet -
Negative materials and corners in electromagnetism
Communication dans un congrès Published on 01/01/2013 co-written by Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Patrick Ciarlet, Xavier Claeys, Serguei Nazarov -
Plasmonic cavity modes: black-hole phenomena captured by Perfectly Matched Layers
Communication dans un congrès Published on 01/01/2013 co-written by Anne-Sophie Bonnet-Ben Dhia, Camille Carvalho, Lucas Chesnel, Patrick Ciarlet -
Scalar transmission problems between dielectrics and metamaterials: T-coercivity for the Discontinuous Galerkin approach.
Article dans une revue Published on 01/01/2013 co-written by Eric T. Chung, Patrick Ciarlet -
Two-dimensional Maxwell's equations with sign-changing coefficients
Article dans une revue Published on 01/01/2013 co-written by Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Patrick Ciarlet -
T-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients
Pré-publication, Document de travail Published on 18/04/2012 co-written by Lucas Chesnel, Patrick Ciarlet -
T-coercivity: application to the discretization of Helmholtz-like problems
Rapport Published on 05/03/2012 by Patrick Ciarlet -
T-coercivity for scalar interface problems between dielectrics and metamaterials
Article dans une revue Published on 01/01/2012 co-written by Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Patrick Ciarlet -
T-coercivity: Application to the discretization of Helmholtz-like problems
Article dans une revue Published on 01/01/2012 by Patrick Ciarlet -
Compact imbeddings in electromagnetism with interfaces between classical materials and meta-materials
Pré-publication, Document de travail Published on 03/05/2011 co-written by Lucas Chesnel, Patrick Ciarlet -
Lagrange multipliers in intrinsic elasticity.
Article dans une revue Published on 04/04/2011 co-written by Oana Iosifescu, Philippe G. Ciarlet, Patrick Ciarlet, Stefan Sauter, Zou Jun -
Time-domain study of the Drude-Born-Fedorov model for a class of heterogeneous chiral materials
Pré-publication, Document de travail Published on 05/01/2011 co-written by Patrick Ciarlet, Guillaume Legendre, Serge Nicaise -
Numerical solution of Maxwell's equations in axisymmetric domains with the Fourier Singular Complement Method
Article dans une revue Published on 01/01/2011 co-written by Patrick Ciarlet, Simon Labrunie -
A Lagrangian approach to intrinsic linearized elasticity
Article dans une revue Published on 03/05/2010 co-written by Oana Iosifescu, Philippe G. Ciarlet, Patrick Ciarlet, Zou Jun, Stefan Sauter -
Electrowetting of a 3D drop: Numerical modelling with electrostatic vector fields
Article dans une revue Published on 01/01/2010 co-written by Patrick Ciarlet, Claire Scheid -
La méthode des éléments finis : de la théorie à la pratique. Tome 2 : Compléments
Ouvrages Published on 01/01/2010 co-written by Eliane Bécache, Patrick Ciarlet, Christophe Hazard, Éric Lunéville -
Weak vector and scalar potentials. Applications to Poincaré's theorem and Korn's inequality in Sobolev spaces with negative exponents.
Article dans une revue Published on 01/01/2010 co-written by Chérif Amrouche, Philippe G. Ciarlet, Patrick Ciarlet -
Weighted regularization for composite materials in electromagnetism
Article dans une revue Published on 01/01/2010 co-written by Patrick Ciarlet, François Lefèvre, Stéphanie Lohrengel, Serge Nicaise -
Direct computation of stresses in planar linearized elasticity
Article dans une revue Published on 01/01/2009 co-written by Philippe G. Ciarlet, Patrick Ciarlet -
La méthode des éléments finis : de la théorie à la pratique. Tome 1 : Concepts généraux
Ouvrages Published on 01/01/2009 co-written by Patrick Ciarlet, Éric Lunéville -
Numerical analysis of the generalized Maxwell equations (with an elliptic correction) for charged particle simulations
Article dans une revue Published on 01/01/2009 co-written by Patrick Ciarlet, Simon Labrunie -
Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements
Article dans une revue Published on 01/01/2009 co-written by Annalisa Buffa, Patrick Ciarlet, Erell Jamelot -
A characterization of singular electromagnetic fields by an inductive approach
Article dans une revue Published on 01/01/2008 co-written by F. Assous, Patrick Ciarlet, E. Garcia -
A new approach for approximating linear elasticity problems
Article dans une revue Published on 01/01/2008 co-written by Philippe G. Ciarlet, Patrick Ciarlet -
A new compactness result for electromagnetic waves. Application to the transmission problem between dielectrics and metamaterials
Article dans une revue Published on 01/01/2008 co-written by Anne-Sophie Bonnet-Ben Dhia, Patrick Ciarlet, Carlo Maria Zwölf -
Computing electromagnetic eigenmodes with continuous Galerkin approximations
Article dans une revue Published on 01/01/2008 co-written by Patrick Ciarlet, Grace Hechme -
Vector and scalar potentials, Poincaré's theorem and Korn's inequality
Pré-publication, Document de travail Published on 01/01/2008 co-written by Chérif Amrouche, Philippe G. Ciarlet, Patrick Ciarlet -
Characterization of the kernel of the operator CURL CURL
Article dans une revue Published on 01/01/2007 co-written by Philippe G. Ciarlet, Patrick Ciarlet, Giuseppe Geymonat, Françoise Krasucki -
Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries
Article dans une revue Published on 01/01/2007 co-written by Patrick Ciarlet, Erell Jamelot -
Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries
Article dans une revue Published on 01/01/2007 co-written by Patrick Ciarlet, Erell Jamelot -
Generalized formulations of Maxwell's equations for numerical Vlasov-Maxwell simulations
Article dans une revue Published on 01/01/2007 co-written by Patrick Ciarlet, Régine Barthelmé, Eric Sonnendrücker -
Multiscaled asymptotic expansions for the electric potential: Surface charge densities and electric fields at rounded corners
Article dans une revue Published on 01/01/2007 co-written by Patrick Ciarlet, Samir Kaddouri -
Two- and three-field formulations for wave transmission between media with opposite sign dielectric constants
Article dans une revue Published on 01/01/2007 co-written by Anne-Sophie Bonnet-Ben Dhia, Patrick Ciarlet, Carlo Maria Zwölf -
Well-posedness of the Drude-Born-Fedorov model for chiral media
Article dans une revue Published on 01/01/2007 co-written by Patrick Ciarlet, Guillaume Legendre -
The Fourier Singular Complement Method for the Poisson Problem. Part III: Implementation Issues
Pré-publication, Document de travail Published on 26/09/2006 co-written by Patrick Ciarlet, Beate Jung, Samir Kaddouri, Simon Labrunie, Jun Zou -
A justification of Peek's empirical law in electrostatics [Justification de la loi de Peek en électrostatique]
Article dans une revue Published on 01/01/2006 co-written by Patrick Ciarlet, Samir Kaddouri -
Generalized formulations of Maxwell's equations for numerical Vlasov-Maxwell simulations
Rapport Published on 01/01/2006 co-written by Régine Barthelmé, Patrick Ciarlet, Eric Sonnendrücker -
The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains
Article dans une revue Published on 01/01/2006 co-written by Patrick Ciarlet, Beate Jung, Samir Kaddouri, Simon Labrunie, Jun Zou -
Time-dependent Maxwell's equations with charges in singular geometries
Article dans une revue Published on 01/01/2006 co-written by Franck Assous, Patrick Ciarlet, Emmanuelle Garcia, Jacques Segré -
Augmented formulations for solving Maxwell equations
Article dans une revue Published on 01/02/2005 by Patrick Ciarlet -
Another approach to linearized elasticity and a new proof of Korn's inequality
Article dans une revue Published on 01/01/2005 co-written by Patrick Ciarlet, Philippe G. Ciarlet -
Singular electromagnetic fields: Inductive approach [Singularités électromagnétiques: Une approche inductive]
Article dans une revue Published on 01/01/2005 co-written by Franck Assous, Patrick Ciarlet, Emmanuelle Garcia -
The Fourier Singular Complement Method for the Poisson problem. Part I: prismatic domains
Article dans une revue Published on 01/01/2005 co-written by Patrick Ciarlet, Beate Jung, Samir Kaddouri, Simon Labrunie, Jun Zou -
Another approach to linearized elasticity and Korn's inequality
Article dans une revue Published on 01/01/2004 co-written by Patrick Ciarlet, Philippe G. Ciarlet -
Solving Maxwell equations in 3D prismatic domains [Résolution des équations de Maxwell dans des domaines prismatiques tridimensionnels]
Article dans une revue Published on 01/01/2004 co-written by Patrick Ciarlet, Emmanuelle Garcia, Jun Zou -
Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: The Singular Complement Method
Article dans une revue Published on 01/10/2003 co-written by Franck Assous, Patrick Ciarlet, Simon Labrunie, Jacques Segré -
La Méthode du Complément Singulier pour des problèmes scalaires 2d
Article dans une revue Published on 01/02/2003 co-written by Patrick Ciarlet, Jiwen He -
Solution of axisymmetric Maxwell equations
Article dans une revue Published on 01/01/2003 co-written by Franck Assous, Patrick Ciarlet, Simon Labrunie -
Some observations on generalized saddle-point problems
Article dans une revue Published on 01/01/2003 co-written by Patrick Ciarlet, Jianguo Huang, Jun Zou -
Système de Stokes avec flux de vitesse et pression imposés
Article dans une revue Published on 01/01/2003 by Patrick Ciarlet -
Condition inf-sup pour l'élément fini de Taylor-Hood P2-iso-P1, 3D; application aux équations de Maxwell
Article dans une revue Published on 01/01/2002 co-written by Patrick Ciarlet, Vivette Girault -
Theoretical tools to solve the axisymmetric Maxwell equations
Article dans une revue Published on 01/01/2002 co-written by Franck Assous, Patrick Ciarlet, Simon Labrunie -
Theoretical tools to solve the axisymmetric Maxwell equations
Article dans une revue Published on 01/01/2002 co-written by Franck Assous, Patrick Ciarlet, Simon Labrunie -
On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra
Article dans une revue Published on 01/01/2001 co-written by Annalisa Buffa, Patrick Ciarlet -
On traces for functional spaces related to Maxwell's equations Part II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications
Article dans une revue Published on 01/01/2001 co-written by Annalisa Buffa, Patrick Ciarlet -
Un résultat de fermeture pour les équations de Maxwell en géométrie axisymétrique
Article dans une revue Published on 01/08/2000 co-written by Patrick Ciarlet, Nikolai Filonov, Simon Labrunie -
Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: the Singular Complement Method
Article dans une revue Published on 01/06/2000 co-written by Franck Assous, Patrick Ciarlet, Jacques Segré -
Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: the Singular Complement Method
Article dans une revue Published on 01/06/2000 co-written by Franck Assous, Patrick Ciarlet, Jacques Segré -
Résolution des équations de Maxwell instationnaires avec charges dans un domaine singulier bidimensionnel
Article dans une revue Published on 01/03/2000 co-written by Franck Assous, Patrick Ciarlet, Emmanuelle Garcia -
Caractérisation de la partie singulière et résolution des équations de Maxwell en géométrie singulière axisymétrique
Article dans une revue Published on 01/05/1999 co-written by Franck Assous, Patrick Ciarlet, Simon Labrunie -
Fully discrete finite element approaches for time-dependent Maxwell's equations
Article dans une revue Published on 01/04/1999 co-written by Patrick Ciarlet, Jun Zou -
Les équations de Maxwell dans un polyèdre : un résultat de densité
Article dans une revue Published on 01/01/1998 co-written by Patrick Ciarlet, Christophe Hazard, Stéphanie Lohrengel -
Resolution of the Maxwell equations in a domain with reentrant corners
Article dans une revue Published on 01/01/1998 co-written by Franck Assous, Patrick Ciarlet, Eric Sonnendrücker -
A decomposition of the electric field. Application to the Darwin model
Article dans une revue Published on 01/12/1997 co-written by Patrick Ciarlet, Eric Sonnendrücker -
Characterization of the Singular Part of the Solution of Maxwell's Equations in a Polyhedral Domain
Rapport Published on 01/01/1997 co-written by Franck Assous, Patrick Ciarlet, Pierre-Arnaud Raviart, Eric Sonnendrücker -
Finite element convergence for the Darwin model to Maxwell's equations
Article dans une revue Published on 01/01/1997 co-written by Patrick Ciarlet, Jun Zou -
On the optimality of the median cut spectral bisection graph partitioning method
Article dans une revue Published on 01/01/1997 co-written by Tony F. Chan, Patrick Ciarlet, W. K. Szeto -
Une caractérisation de l'orthogonal de $\Delta (H^2(\Omega)\cap H^1_0(\Omega))$ dans $L^2(\Omega)$
Article dans une revue Published on 01/01/1997 co-written by Franck Assous, Patrick Ciarlet