Patrick Ciarlet

Documents

Presentation

French
English

Publications

	The T-coercivity approach for mixed problems Mathieu Barré , Patrick Ciarlet Comptes Rendus. Mathématique, inPress Journal articles hal-03820910v3
	Study of a degenerate non-elliptic equation to model plasma heating Patrick Ciarlet , Maryna Kachanovska , Etienne Peillon ESAIM: Mathematical Modelling and Numerical Analysis, In press Journal articles hal-04152267v1
	Analysis of time-harmonic Maxwell impedance problems in anisotropic media Damien Chicaud , Patrick Ciarlet SIAM Journal on Mathematical Analysis, 2023, 55 (3), pp.1969-2000. ⟨10.1137/22M1485413⟩ Journal articles hal-03613183v3
	A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations Patrick Ciarlet , Minh Hieu Do , François Madiot ESAIM: Mathematical Modelling and Numerical Analysis, 2023, 57 (1), pp.1-27. ⟨10.1051/m2an/2022078⟩ Journal articles hal-03936904v2
	An optimal control-based numerical method for scalar transmission problems with sign-changing coefficients Patrick Ciarlet , David Lassounon , Mahran Rihani SIAM Journal on Numerical Analysis, 2023, 61 (3), pp.1316-1339. ⟨10.1137/22M1495998⟩ Journal articles hal-03666913v2
	Variational methods for solving numerically magnetostatic systems Patrick Ciarlet , E. Jamelot Advances in Computational Mathematics, inPress Journal articles hal-04152740v2
	A mathematical study of a hyperbolic metamaterial in free space Patrick Ciarlet , Maryna Kachanovska SIAM Journal on Mathematical Analysis, 2022, 54 (2), pp.2216-2250. ⟨10.1137/21M1404223⟩ Journal articles hal-03164619v1
	Limiting amplitude principle and resonances in plasmonic structures with corners: numerical investigation Camille Carvalho , Patrick Ciarlet , Claire Scheid Computer Methods in Applied Mechanics and Engineering, 2022, 388, pp.114207. ⟨10.1016/j.cma.2021.114207⟩ Journal articles hal-03160574v2
	Improvement of hierarchical matrices for 3D elastodynamic problems with a complex wavenumber Laura Bagur , Stéphanie Chaillat , Patrick Ciarlet Advances in Computational Mathematics, 2022, 48 (9), ⟨10.1007/s10444-021-09921-3⟩ Journal articles hal-03367755v1
	On the approximation of electromagnetic fields by edge finite elements. Part 4: analysis of the model with one sign-changing coefficient Patrick Ciarlet Numerische Mathematik, 2022, 152, pp.223-257. ⟨10.1007/s00211-022-01315-x⟩ Journal articles hal-03273264v3
	Analysis of variational formulations and low-regularity solutions for time-harmonic electromagnetic problems in complex anisotropic media Damien Chicaud , Patrick Ciarlet , Axel Modave SIAM Journal on Mathematical Analysis, 2021, 53 (3), pp.2691-2717. ⟨10.1137/20M1344111⟩ Journal articles hal-02651682v3
	On the approximation of electromagnetic fields by edge finite elements. Part 3: sensitivity to coefficients Patrick Ciarlet SIAM Journal on Mathematical Analysis, 2020, ⟨10.1137/19M1275383⟩ Journal articles hal-02276430v3
	On the efficiency of nested GMRES preconditioners for 3D acoustic and elastodynamic H-matrix accelerated Boundary Element Methods Félix D. Kpadonou , Stéphanie Chaillat , Patrick Ciarlet Computers & Mathematics with Applications, 2020, 80 (3), ⟨10.1016/j.camwa.2020.03.021⟩ Journal articles hal-02415902v1
	On the convergence in $H^1$-norm for the fractional Laplacian Juan Pablo Borthagaray , Patrick Ciarlet SIAM Journal on Numerical Analysis, 2019, 57, pp.1723-1743. ⟨10.1137/18M1221436⟩ Journal articles hal-01912092v1
	Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients Patrick Ciarlet , Martin Vohralík ESAIM: Mathematical Modelling and Numerical Analysis, 2018, 52 (5), pp.2037-2064. ⟨10.1051/m2an/2018034⟩ Journal articles hal-01148476v3
	Mesh requirements for the finite element approximation of problems with sign-changing coefficients Anne-Sophie Bonnet-Ben Dhia , Camille Carvalho , Patrick Ciarlet Numerische Mathematik, 2018, 138, pp.801-838. ⟨10.1007/s00211-017-0923-5⟩ Journal articles hal-01335153v3
	A Family of Crouzeix-Raviart Finite Elements in 3D Patrick Ciarlet , Charles F Dunkl , Stefan A Sauter Analysis and Applications, 2018, ⟨10.1142/S0219530518500070⟩ Journal articles hal-01488172v1
	Numerical analysis of the mixed finite element method for the neutron diffusion eigenproblem with heterogeneous coefficients Patrick Ciarlet , Léandre Giret , Erell Jamelot , Félix D. Kpadonou ESAIM: Mathematical Modelling and Numerical Analysis, 2018, 52 (5), pp.2003-2035. ⟨10.1051/m2an/2018011⟩ Journal articles hal-01566179v2
	Theory and implementation of $\mathcal{H}$-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels Stéphanie Chaillat , Luca Desiderio , Patrick Ciarlet Journal of Computational Physics, 2017 Journal articles hal-01543919v2
	Eigenvalue problems with sign-changing coefficients Camille Carvalho , Lucas Chesnel , Patrick Ciarlet Comptes Rendus. Mathématique, 2017, 355 (6), pp.671 - 675. ⟨10.1016/j.crma.2017.05.002⟩ Journal articles hal-01394856v2
	Domain decomposition methods for the diffusion equation with low-regularity solution Patrick Ciarlet , Erell Jamelot , Félix D. Kpadonou Computers & Mathematics with Applications, 2017, ⟨10.1016/j.camwa.2017.07.017⟩ Journal articles hal-01349385v4
	On the Approximation of Electromagnetic Fields by Edge Finite Elements. Part 2: A Heterogeneous Multiscale Method for Maxwell's equations Patrick Ciarlet , Sonia Fliss , Christian Stohrer Computers & Mathematics with Applications, 2017, 73 (9), pp.1900-1919. ⟨10.1016/j.camwa.2017.02.043⟩ Journal articles hal-01364782v2
	On the approximation of electromagnetic fields by edge finite elements. Part 1: Sharp interpolation results for low-regularity fields Patrick Ciarlet Computers & Mathematics with Applications, 2016, ⟨10.1016/j.camwa.2015.10.020⟩ Journal articles hal-01176476v4
	On the use of Perfectly Matched Layers at corners for scattering problems with sign-changing coefficients Anne-Sophie Bonnet-Ben Dhia , Camille Carvalho , Lucas Chesnel , Patrick Ciarlet Journal of Computational Physics, 2016, 322, pp.224-247. ⟨10.1016/j.jcp.2016.06.037⟩ Journal articles hal-01225309v2
	Intrinsic Finite Element Methods for the Computation of Fluxes for Poisson's Equation Philippe G. Ciarlet , Patrick Ciarlet , Stefan Sauter , C Simian Numerische Mathematik, 2015, pp.30. ⟨10.1007/s00211-015-0730-9⟩ Journal articles hal-01160896v1
	Edge Element Methods for Maxwell's Equations with Strong Convergence for Gauss' Laws Patrick Ciarlet , Haijun Wu , Jun Zou SIAM Journal on Numerical Analysis, 2014, 52 (2), pp.779-807. ⟨10.1137/120899856⟩ Journal articles hal-01112201v1
	T-coercivity for the Maxwell problem with sign-changing coefficients Anne-Sophie Bonnet-Ben Dhia , Lucas Chesnel , Patrick Ciarlet Communications in Partial Differential Equations, 2014 Journal articles hal-00762275v1
	Finite Element Heterogeneous Multiscale Method for the Classical Helmholtz Equation Patrick Ciarlet , Christian Stohrer Comptes Rendus. Mathématique, 2014, 352 (9), pp.755-760. ⟨10.1016/j.crma.2014.07.006⟩ Journal articles hal-01111101v1
	Scalar transmission problems between dielectrics and metamaterials: T-coercivity for the Discontinuous Galerkin approach. Eric T. Chung , Patrick Ciarlet Journal of Computational and Applied Mathematics, 2013, 239, pp.189--207 Journal articles hal-00937681v1
	Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwells equations on Cartesian grids Eric T. Chung , Patrick Ciarlet , Tang Fei Yu Journal of Computational Physics, 2013, 235, pp.14--31. ⟨10.1016/j.jcp.2012.10.019⟩ Journal articles hal-00937679v1
	Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation Erell Jamelot , Patrick Ciarlet Journal of Computational Physics, 2013, 241, pp.445--463 Journal articles hal-00937674v1
	Analysis of the Scott-Zhang interpolation in the fractional order Sobolev spaces Patrick Ciarlet Journal of Numerical Mathematics, 2013, 21 (3), pp.173-180. ⟨10.1515/jnum-2013-0007⟩ Journal articles hal-00937677v1
	Two-dimensional Maxwell's equations with sign-changing coefficients Anne-Sophie Bonnet-Ben Dhia , Lucas Chesnel , Patrick Ciarlet Applied Numerical Mathematics: an IMACS journal, 2013, ⟨10.1016/j.apnum.2013.04.006⟩ Journal articles hal-00937769v1
	T-coercivity for scalar interface problems between dielectrics and metamaterials Anne-Sophie Bonnet-Ben Dhia , Lucas Chesnel , Patrick Ciarlet ESAIM: Mathematical Modelling and Numerical Analysis, 2012, 46, pp.1363-1387. ⟨10.1051/m2an/2012006⟩ Journal articles hal-00564312v2
	T-coercivity: Application to the discretization of Helmholtz-like problems Patrick Ciarlet Computers & Mathematics with Applications, 2012, 64 (1), pp.22-34. ⟨10.1016/j.camwa.2012.02.034⟩ Journal articles hal-00849560v1
	Numerical solution of Maxwell's equations in axisymmetric domains with the Fourier Singular Complement Method Patrick Ciarlet , Simon Labrunie Journal of Difference Equations and Applications, 2011, 3, pp.113-155 Journal articles hal-00365391v3
	Lagrange multipliers in intrinsic elasticity. Oana Iosifescu , Philippe G. Ciarlet , Patrick Ciarlet , Stefan Sauter , Zou Jun Mathematical Models and Methods in Applied Sciences, 2011, 21, pp.651-666. ⟨10.1142/S0218202511005167⟩ Journal articles hal-00804289v1
	Weighted regularization for composite materials in electromagnetism Patrick Ciarlet , François Lefèvre , Stéphanie Lohrengel , Serge Nicaise ESAIM: Mathematical Modelling and Numerical Analysis, 2010, 44 (1), pp.75-108. ⟨10.1051/m2an/2009041⟩ Journal articles hal-00873065v1
	Time harmonic wave diffraction problems in materials with sign-shifting coefficients Anne-Sophie Bonnet-Ben Dhia , Patrick Ciarlet , Carlo Maria Zwölf Journal of Computational and Applied Mathematics, 2010, 234 (6), pp.1912-1919. ⟨10.1016/j.cam.2009.08.041⟩ Journal articles hal-00975073v1
	A Lagrangian approach to intrinsic linearized elasticity Oana Iosifescu , Philippe G. Ciarlet , Patrick Ciarlet , Zou Jun , Stefan Sauter Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2010, 348, pp.587-592. ⟨10.1016/j.crma.2010.04.011⟩ Journal articles hal-00804358v1
	Electrowetting of a 3D drop: Numerical modelling with electrostatic vector fields Patrick Ciarlet , Claire Scheid ESAIM: Mathematical Modelling and Numerical Analysis, 2010, 44 (4), pp.647-670. ⟨10.1051/m2an/2010014⟩ Journal articles hal-00873057v1
	Weak vector and scalar potentials. Applications to Poincaré's theorem and Korn's inequality in Sobolev spaces with negative exponents. Chérif Amrouche , Philippe G. Ciarlet , Patrick Ciarlet Analysis and Applications, 2010, 8 (1), pp.1-17. ⟨10.1142/s0219530510001497⟩ Journal articles hal-00444185v1
	Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements Annalisa Buffa , Patrick Ciarlet , Erell Jamelot Numerische Mathematik, 2009, 113 (4), pp.497-518. ⟨10.1007/s00211-009-0246-2⟩ Journal articles hal-00873069v1
	Numerical analysis of the generalized Maxwell equations (with an elliptic correction) for charged particle simulations Patrick Ciarlet , Simon Labrunie Mathematical Models and Methods in Applied Sciences, 2009, 19 (11), pp.1959-1994. ⟨10.1142/S0218202509004017⟩ Journal articles hal-00291503v2
	Direct computation of stresses in planar linearized elasticity Philippe G. Ciarlet , Patrick Ciarlet Mathematical Models and Methods in Applied Sciences, 2009, 19 (7), pp.1043-1064. ⟨10.1142/s0218202509003711⟩ Journal articles hal-00873070v1
	A new compactness result for electromagnetic waves. Application to the transmission problem between dielectrics and metamaterials Anne-Sophie Bonnet-Ben Dhia , Patrick Ciarlet , Carlo Maria Zwölf Mathematical Models and Methods in Applied Sciences, 2008, 18 (9), pp.1605-1631. ⟨10.1142/s0218202508003145⟩ Journal articles hal-00873080v1
	Computing electromagnetic eigenmodes with continuous Galerkin approximations Patrick Ciarlet , Grace Hechme Computer Methods in Applied Mechanics and Engineering, 2008, 198 (2), pp.358-365. ⟨10.1016/j.cma.2008.08.005⟩ Journal articles hal-00873075v1
	A new approach for approximating linear elasticity problems Philippe G. Ciarlet , Patrick Ciarlet Comptes Rendus. Mathématique, 2008, 346 (5-6), pp.351-356. ⟨10.1016/j.crma.2008.01.014⟩ Journal articles hal-00876220v1
	A characterization of singular electromagnetic fields by an inductive approach F. Assous , Patrick Ciarlet , E. Garcia International Journal of Numerical Analysis and Modeling, 2008, 5 (3), pp.491-515 Journal articles hal-00873083v1
	Generalized formulations of Maxwell's equations for numerical Vlasov-Maxwell simulations Patrick Ciarlet , Régine Barthelmé , Eric Sonnendrücker Mathematical Models and Methods in Applied Sciences, 2007, 17 (5), pp.657--680. ⟨10.1142/S0218202507002066⟩ Journal articles hal-00180708v1
	Well-posedness of the Drude-Born-Fedorov model for chiral media Patrick Ciarlet , Guillaume Legendre Mathematical Models and Methods in Applied Sciences, 2007, 17 (3), pp.461-484. ⟨10.1142/s0218202507001991⟩ Journal articles hal-00876234v1
	Characterization of the kernel of the operator CURL CURL Philippe G. Ciarlet , Patrick Ciarlet , Giuseppe Geymonat , Françoise Krasucki Comptes Rendus. Mathématique, 2007, 344 (série I), pp.305-308. ⟨10.1016/j.crma.2007.01.001⟩ Journal articles hal-00583961v1
	Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries Patrick Ciarlet , Erell Jamelot Journal of Computational Physics, 2007, 226 (1), pp.1122-1135. ⟨10.1016/j.jcp.2007.05.029⟩ Journal articles hal-00876227v1
	Two- and three-field formulations for wave transmission between media with opposite sign dielectric constants Anne-Sophie Bonnet-Ben Dhia , Patrick Ciarlet , Carlo Maria Zwölf Journal of Computational and Applied Mathematics, 2007, 204 (2 SPEC. ISS.), pp.408-417. ⟨10.1016/j.cam.2006.01.046⟩ Journal articles hal-00876230v1
	Multiscaled asymptotic expansions for the electric potential: Surface charge densities and electric fields at rounded corners Patrick Ciarlet , Samir Kaddouri Mathematical Models and Methods in Applied Sciences, 2007, 17 (6), pp.845-876. ⟨10.1142/s0218202507002133⟩ Journal articles hal-00876233v1
	The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains Patrick Ciarlet , Beate Jung , Samir Kaddouri , Simon Labrunie , Jun Zou Numerische Mathematik, 2006, 102, pp.583-610. ⟨10.1007/s00211-005-0664-8⟩ Journal articles hal-00094298v1
	Time-dependent Maxwell's equations with charges in singular geometries Franck Assous , Patrick Ciarlet , Emmanuelle Garcia , Jacques Segré Computer Methods in Applied Mechanics and Engineering, 2006, 196 (1-3), pp.665-681. ⟨10.1016/j.cma.2006.07.007⟩ Journal articles hal-00977677v1
	A justification of Peek's empirical law in electrostatics [Justification de la loi de Peek en électrostatique] Patrick Ciarlet , Samir Kaddouri Comptes Rendus. Mathématique, 2006, 343 (10), pp.671-674. ⟨10.1016/j.crma.2006.10.009⟩ Journal articles hal-00876237v1
	Another approach to linearized elasticity and a new proof of Korn's inequality Patrick Ciarlet , Philippe G. Ciarlet Mathematical Models and Methods in Applied Sciences, 2005, 15 (02), pp.259-271. ⟨10.1142/S0218202505000352⟩ Journal articles hal-00983006v1
	Singular electromagnetic fields: Inductive approach [Singularités électromagnétiques: Une approche inductive] Franck Assous , Patrick Ciarlet , Emmanuelle Garcia Comptes Rendus. Mathématique, 2005, 341 (10), pp.605-610. ⟨10.1016/j.crma.2005.09.034⟩ Journal articles hal-00876241v1
	The Fourier Singular Complement Method for the Poisson problem. Part I: prismatic domains Patrick Ciarlet , Beate Jung , Samir Kaddouri , Simon Labrunie , Jun Zou Numerische Mathematik, 2005, 101, pp.423-450. ⟨10.1007/s00211-005-0621-6⟩ Journal articles hal-00094285v1
	Augmented formulations for solving Maxwell equations Patrick Ciarlet Computer Methods in Applied Mechanics and Engineering, 2005, 194 (2-5), pp.559-586. ⟨10.1016/j.cma.2004.05.021⟩ Journal articles hal-00983013v1
	Solving Maxwell equations in 3D prismatic domains [Résolution des équations de Maxwell dans des domaines prismatiques tridimensionnels] Patrick Ciarlet , Emmanuelle Garcia , Jun Zou Comptes Rendus. Mathématique, 2004, 339 (10), pp.721-726. ⟨10.1016/j.crma.2004.09.032⟩ Journal articles hal-00876247v1
	Another approach to linearized elasticity and Korn's inequality Patrick Ciarlet , Philippe G. Ciarlet Comptes Rendus. Mathématique, 2004, 339 (4), pp.307-312. ⟨10.1016/j.crma.2004.06.021⟩ Journal articles hal-00988265v1
	Some observations on generalized saddle-point problems Patrick Ciarlet , Jianguo Huang , Jun Zou SIAM Journal on Matrix Analysis and Applications, 2003, 25 (1), pp.224-236. ⟨10.1137/S0895479802410827⟩ Journal articles hal-00989568v1
	Solution of axisymmetric Maxwell equations Franck Assous , Patrick Ciarlet , Simon Labrunie Mathematical Methods in the Applied Sciences, 2003, 26 (10), pp.861-896. ⟨10.1002/mma.400⟩ Journal articles hal-00989564v1
	Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: The Singular Complement Method Franck Assous , Patrick Ciarlet , Simon Labrunie , Jacques Segré Journal of Computational Physics, 2003, 191 (1), pp.147-176. ⟨10.1016/S0021-9991(03)00309-7⟩ Journal articles hal-00989621v1
	Système de Stokes avec flux de vitesse et pression imposés Patrick Ciarlet Comptes Rendus. Mathématique, 2003, 337 (2), pp.119-124. ⟨10.1016/S1631-073X(03)00270-X⟩ Journal articles hal-00989582v1
	La Méthode du Complément Singulier pour des problèmes scalaires 2d Patrick Ciarlet , Jiwen He Comptes Rendus. Mathématique, 2003, 336 (4), pp.353-358. ⟨10.1016/S1631-073X(03)00030-X⟩ Journal articles hal-00989073v1
	Condition inf-sup pour l'élément fini de Taylor-Hood P2-iso-P1, 3D; application aux équations de Maxwell Patrick Ciarlet , Vivette Girault Comptes Rendus. Mathématique, 2002, 335 (10), pp.827-832. ⟨10.1016/S1631-073X(02)02564-5⟩ Journal articles hal-00990187v1
	Theoretical tools to solve the axisymmetric Maxwell equations Franck Assous , Patrick Ciarlet , Simon Labrunie Mathematical Methods in the Applied Sciences, 2002, 25 (1), pp.49-78. ⟨10.1002/mma.279⟩ Journal articles hal-00878222v1
	On traces for functional spaces related to Maxwell's equations Part II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications Annalisa Buffa , Patrick Ciarlet Mathematical Methods in the Applied Sciences, 2001, 24 (1), pp.31-48. ⟨10.1002/1099-1476(20010110)24:1(31::aid-mma193)3.0.co;2-x⟩ Journal articles hal-00878224v1
	On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra Annalisa Buffa , Patrick Ciarlet Mathematical Methods in the Applied Sciences, 2001, 24 (1), pp.9-30. ⟨10.1002/1099-1476(20010110)24:1(9::aid-mma191)3.0.co;2-2⟩ Journal articles hal-00878223v1
	Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: the Singular Complement Method Franck Assous , Patrick Ciarlet , Jacques Segré Journal of Computational Physics, 2000, 161 (1), pp.218-249. ⟨10.1006/jcph.2000.6499⟩ Journal articles hal-01010725v1
	Résolution des équations de Maxwell instationnaires avec charges dans un domaine singulier bidimensionnel Franck Assous , Patrick Ciarlet , Emmanuelle Garcia Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2000, 330, pp.391-396. ⟨10.1016/S0764-4442(00)00159-2⟩ Journal articles hal-01010723v1
	Un résultat de fermeture pour les équations de Maxwell en géométrie axisymétrique Patrick Ciarlet , Nikolai Filonov , Simon Labrunie Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2000, 331 (4), pp.293-298. ⟨10.1016/S0764-4442(00)01617-7⟩ Journal articles hal-01010726v1
	Caractérisation de la partie singulière et résolution des équations de Maxwell en géométrie singulière axisymétrique Franck Assous , Patrick Ciarlet , Simon Labrunie Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1999, 328 (9), pp.767-772. ⟨10.1016/S0764-4442(99)80269-9⟩ Journal articles hal-01010720v1
	Fully discrete finite element approaches for time-dependent Maxwell's equations Patrick Ciarlet , Jun Zou Numerische Mathematik, 1999, 82 (2), pp.193-219. ⟨10.1007/s002110050417⟩ Journal articles hal-01010719v1
	Quelques résultats sur la régularité en temps des équations de Maxwell instationnaires Franck Assous , Patrick Ciarlet Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1998, 327 (8), pp.719-724. ⟨10.1016/S0764-4442(98)80158-4⟩ Journal articles hal-01010667v1
	Resolution of the Maxwell equations in a domain with reentrant corners Franck Assous , Patrick Ciarlet , Eric Sonnendrücker ESAIM: Mathematical Modelling and Numerical Analysis, 1998, 32 (3), pp.359-389 Journal articles hal-01010426v1
	Les équations de Maxwell dans un polyèdre : un résultat de densité Patrick Ciarlet , Christophe Hazard , Stéphanie Lohrengel Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1998, 326 (11), pp.1305-1310. ⟨10.1016/S0764-4442(98)80184-5⟩ Journal articles hal-01010610v1
	On the optimality of the median cut spectral bisection graph partitioning method Tony F. Chan , Patrick Ciarlet , W. K. Szeto SIAM Journal on Scientific Computing, 1997, 18 (3), pp.943-948. ⟨10.1137/S1064827594262649⟩ Journal articles hal-01010396v1
	Une caractérisation de l'orthogonal de $\Delta (H^2(\Omega)\cap H^1_0(\Omega))$ dans $L^2(\Omega)$ Franck Assous , Patrick Ciarlet Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1997, 325 (6), pp.605-610. ⟨10.1016/S0764-4442(97)84769-6⟩ Journal articles hal-01010417v1
	A decomposition of the electric field. Application to the Darwin model Patrick Ciarlet , Eric Sonnendrücker Mathematical Models and Methods in Applied Sciences, 1997, 7 (8), pp.1085-1120. ⟨10.1142/S0218202597000542⟩ Journal articles hal-01010405v1
	Finite element convergence for the Darwin model to Maxwell's equations Patrick Ciarlet , Jun Zou ESAIM: Mathematical Modelling and Numerical Analysis, 1997, 31 (2), pp.213-250 Journal articles hal-01010389v1

	Mathematical foundations of computational electromagnetism Franck Assous , Patrick Ciarlet , Simon Labrunie Springer, 2018, Mathematical Foundations of Computational Electromagnetism, 978-3-319-70841-6. ⟨10.1007/978-3-319-70842-3⟩ Books hal-01596575v2
	La méthode des éléments finis : de la théorie à la pratique. Tome 2 : Compléments Eliane Bécache , Patrick Ciarlet , Christophe Hazard , Éric Lunéville pp.284, 2010 Books hal-04043594v1
	La méthode des éléments finis : de la théorie à la pratique. Tome 1 : Concepts généraux Patrick Ciarlet , Éric Lunéville pp.194, 2009, 978-2-7225-0917-7 Books hal-04039611v1

	Notes de cours sur les équations de Maxwell et leur approximation Patrick Ciarlet Master. France. 2024, pp.151 Lectures hal-03153780v4
	Notes de cours sur les méthodes variationnelles pour l'analyse et la résolution de problèmes non coercifs Anne-Sophie Bonnet-Ben Dhia , Patrick Ciarlet Master. France. 2024 Lectures hal-03764649v3
	Outils mathématiques et algorithmiques pour le calcul scientifique Patrick Ciarlet , Erell Jamelot Master. Palaiseau, France. 2019, pp.1-287 Lectures hal-04311490v1

Patrick Ciarlet

Presentation

Publications

The T-coercivity approach for mixed problems

Study of a degenerate non-elliptic equation to model plasma heating

Analysis of time-harmonic Maxwell impedance problems in anisotropic media

A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations

An optimal control-based numerical method for scalar transmission problems with sign-changing coefficients

Variational methods for solving numerically magnetostatic systems

A mathematical study of a hyperbolic metamaterial in free space

Limiting amplitude principle and resonances in plasmonic structures with corners: numerical investigation

Improvement of hierarchical matrices for 3D elastodynamic problems with a complex wavenumber

On the approximation of electromagnetic fields by edge finite elements. Part 4: analysis of the model with one sign-changing coefficient

Analysis of variational formulations and low-regularity solutions for time-harmonic electromagnetic problems in complex anisotropic media

On the approximation of electromagnetic fields by edge finite elements. Part 3: sensitivity to coefficients

On the efficiency of nested GMRES preconditioners for 3D acoustic and elastodynamic H-matrix accelerated Boundary Element Methods

On the convergence in $H^1$-norm for the fractional Laplacian

Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients

Mesh requirements for the finite element approximation of problems with sign-changing coefficients

A Family of Crouzeix-Raviart Finite Elements in 3D

Numerical analysis of the mixed finite element method for the neutron diffusion eigenproblem with heterogeneous coefficients

Theory and implementation of $\mathcal{H}$-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels

Eigenvalue problems with sign-changing coefficients

Domain decomposition methods for the diffusion equation with low-regularity solution

On the Approximation of Electromagnetic Fields by Edge Finite Elements. Part 2: A Heterogeneous Multiscale Method for Maxwell's equations

On the approximation of electromagnetic fields by edge finite elements. Part 1: Sharp interpolation results for low-regularity fields

On the use of Perfectly Matched Layers at corners for scattering problems with sign-changing coefficients

Intrinsic Finite Element Methods for the Computation of Fluxes for Poisson's Equation

Edge Element Methods for Maxwell's Equations with Strong Convergence for Gauss' Laws

T-coercivity for the Maxwell problem with sign-changing coefficients

Finite Element Heterogeneous Multiscale Method for the Classical Helmholtz Equation

Scalar transmission problems between dielectrics and metamaterials: T-coercivity for the Discontinuous Galerkin approach.

Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwells equations on Cartesian grids

Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation

Analysis of the Scott-Zhang interpolation in the fractional order Sobolev spaces

Two-dimensional Maxwell's equations with sign-changing coefficients

T-coercivity for scalar interface problems between dielectrics and metamaterials

T-coercivity: Application to the discretization of Helmholtz-like problems

Numerical solution of Maxwell's equations in axisymmetric domains with the Fourier Singular Complement Method

Lagrange multipliers in intrinsic elasticity.

Weighted regularization for composite materials in electromagnetism

Time harmonic wave diffraction problems in materials with sign-shifting coefficients

A Lagrangian approach to intrinsic linearized elasticity

Electrowetting of a 3D drop: Numerical modelling with electrostatic vector fields

Weak vector and scalar potentials. Applications to Poincaré's theorem and Korn's inequality in Sobolev spaces with negative exponents.

Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements

Numerical analysis of the generalized Maxwell equations (with an elliptic correction) for charged particle simulations

Direct computation of stresses in planar linearized elasticity

A new compactness result for electromagnetic waves. Application to the transmission problem between dielectrics and metamaterials

Computing electromagnetic eigenmodes with continuous Galerkin approximations

A new approach for approximating linear elasticity problems

A characterization of singular electromagnetic fields by an inductive approach

Generalized formulations of Maxwell's equations for numerical Vlasov-Maxwell simulations

Well-posedness of the Drude-Born-Fedorov model for chiral media

Characterization of the kernel of the operator CURL CURL

Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries

Two- and three-field formulations for wave transmission between media with opposite sign dielectric constants

Multiscaled asymptotic expansions for the electric potential: Surface charge densities and electric fields at rounded corners

The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains

Time-dependent Maxwell's equations with charges in singular geometries

A justification of Peek's empirical law in electrostatics [Justification de la loi de Peek en électrostatique]

Another approach to linearized elasticity and a new proof of Korn's inequality

Singular electromagnetic fields: Inductive approach [Singularités électromagnétiques: Une approche inductive]

The Fourier Singular Complement Method for the Poisson problem. Part I: prismatic domains

Augmented formulations for solving Maxwell equations

Solving Maxwell equations in 3D prismatic domains [Résolution des équations de Maxwell dans des domaines prismatiques tridimensionnels]

Another approach to linearized elasticity and Korn's inequality

Some observations on generalized saddle-point problems

Solution of axisymmetric Maxwell equations

Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: The Singular Complement Method

Système de Stokes avec flux de vitesse et pression imposés

La Méthode du Complément Singulier pour des problèmes scalaires 2d

Condition inf-sup pour l'élément fini de Taylor-Hood P2-iso-P1, 3D; application aux équations de Maxwell

Theoretical tools to solve the axisymmetric Maxwell equations

On traces for functional spaces related to Maxwell's equations Part II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications

On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra

Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: the Singular Complement Method

Résolution des équations de Maxwell instationnaires avec charges dans un domaine singulier bidimensionnel

Un résultat de fermeture pour les équations de Maxwell en géométrie axisymétrique

Caractérisation de la partie singulière et résolution des équations de Maxwell en géométrie singulière axisymétrique

Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwells equations on Cartesian grids