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Patrick Ciarlet

90
Documents

Presentation

Pour plus d'informations, voir [ma page web à l'ENSTA/UMA](http://uma.ensta-paristech.fr/~ciarlet) For more informations, see [my professional web page at ENSTA](http://perso.ensta-paristech.fr/~ciarlet/eng_index.html)
Pour plus d'informations, voir [ma page web à l'ENSTA/UMA](http://uma.ensta-paristech.fr/~ciarlet) For more informations, see [my professional web page at ENSTA](http://perso.ensta-paristech.fr/~ciarlet/eng_index.html)

Publications

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The T-coercivity approach for mixed problems

Mathieu Barré , Patrick Ciarlet
Comptes Rendus. Mathématique, In press
Journal articles hal-03820910v2
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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
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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
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Variational methods for solving numerically magnetostatic systems

Patrick Ciarlet , E. Jamelot
Advances in Computational Mathematics, inPress
Journal articles hal-04152740v2
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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

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 Maxwell’s 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, 2013, ⟨10.1016/j.apnum.2013.04.006⟩
Journal articles hal-00937769v1

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
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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

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
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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

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
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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

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

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

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
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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

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

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

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 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

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

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

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

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

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

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
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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

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
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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

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

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

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

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

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

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

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

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 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

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

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

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

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

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

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

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

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

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