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
-
Multiscale modeling for a class of high-contrast heterogeneous sign-changing problems
Pré-publication, Document de travail Published on 24/07/2024 co-written by Changqing Ye, Xingguang Jin, Patrick Ciarlet, Eric T. Chung -
Multiscale modeling for a class of high-contrast heterogeneous sign-changing problems
Pré-publication, Document de travail Published on 24/07/2024 co-written by Changqing Ye, Xingguang Jin, Patrick Ciarlet, Eric T. Chung -
Crouzeix-Raviart elements on simplicial meshes in $d$ dimensions
Pré-publication, Document de travail Published on 28/06/2024 co-written by Nis-Erik Bohne, Patrick Ciarlet, Stefan Sauter -
The $T$-coercivity approach for solving Stokes problem: stabilization of finite element pairs
Pré-publication, Document de travail Published on 22/01/2024 co-written by Patrick Ciarlet, Erell Jamelot -
The $T$-coercivity approach for solving Stokes problem: stabilization of finite element pairs
Pré-publication, Document de travail Published on 22/01/2024 co-written by Patrick Ciarlet, Erell Jamelot -
Stability of the $\mathbf{P}_{nc}^1-(P^0+P^1)$ element
Communication dans un congrès Published on 01/01/2024 co-written by Erell Jamelot, Patrick Ciarlet, Stefan Sauter -
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 -
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 -
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 -
Notes de cours sur les équations de Maxwell et leur approximation
Cours Published on 17/11/2022 by 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 -
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 -
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 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 -
Outils mathématiques et algorithmiques pour le calcul scientifique
Cours Published on 27/11/2019 co-written by Patrick Ciarlet, Erell Jamelot -
Outils mathématiques et algorithmiques pour le calcul scientifique
Cours Published on 27/11/2019 co-written by Patrick Ciarlet, Erell Jamelot -
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 -
Mathematical foundations of computational electromagnetism
Ouvrages Published on 01/01/2018 co-written by Franck Assous, Patrick Ciarlet, Simon Labrunie -
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 -
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 -
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 -
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 -
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 -
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 -
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 -
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 -
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 -
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 -
A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials
Autre publication scientifique Published on 01/05/2012 co-written by Eric T. Chung, Patrick Ciarlet -
A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials
Autre publication scientifique Published on 01/05/2012 co-written by Eric T. Chung, 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 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 -
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 -
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 -
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 -
Time harmonic wave diffraction problems in materials with sign-shifting coefficients
Article dans une revue Published on 01/01/2010 co-written by Anne-Sophie Bonnet-Ben Dhia, Patrick Ciarlet, Carlo Maria Zwölf -
Time harmonic wave diffraction problems in materials with sign-shifting coefficients
Article dans une revue Published on 01/01/2010 co-written by Anne-Sophie Bonnet-Ben Dhia, Patrick Ciarlet, Carlo Maria Zwölf -
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 -
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 -
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 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 -
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 -
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 -
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 -
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 -
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 -
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 -
Augmented formulations for solving Maxwell equations
Article dans une revue Published on 01/02/2005 by Patrick Ciarlet -
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 -
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 -
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 -
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 -
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 -
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 -
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 -
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 -
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 -
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 -
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 -
Quelques résultats sur la régularité en temps des équations de Maxwell instationnaires
Article dans une revue Published on 01/10/1998 co-written by Franck Assous, Patrick Ciarlet -
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 -
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 -
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