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authIdHal_s : patrick-ciarlet

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

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 istex hal-01010719v1

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 istex hal-01010726v1
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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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The Fourier Singular Complement Method for the Poisson problem. Part I: prismatic domains

Patrick Ciarlet , Beate Jung , Samir Kaddouri , Simon Labrunie , Jun Zou et al.
Numerische Mathematik, 2005, 101, pp.423-450. ⟨10.1007/s00211-005-0621-6⟩
Journal articles hal-00094285v1
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The Fourier Singular Complement Method for the Poisson Problem. Part III: Implementation Issues

Patrick Ciarlet , Beate Jung , Samir Kaddouri , Simon Labrunie , Jun Zou et al.
Preprints, Working Papers, ... hal-00094316v1
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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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Criticality Computation with Finite Element Method on Non-Conforming Meshes

L. Giret , Jr. Ciarlet P , E. Jamelot
International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (MandC 2017), Apr 2017, Jeju-do, South Korea
Conference papers hal-02417379v1

Negative materials and corners in electromagnetism

Anne-Sophie Bonnet-Ben Dhia , Lucas Chesnel , Patrick Ciarlet , Xavier Claeys , Serguei Nazarov et al.
Report No.3/2013 of Mathematisches Forschungsinstitut Oberwolfach "Computational Electromagnetism and Acoustics", 2013, Oberwolfach, Germany
Conference papers hal-00937670v1

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 istex hal-00983013v1

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

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 istex hal-00876237v1

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 istex 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 istex hal-00989073v1
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T-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients

Lucas Chesnel , Patrick Ciarlet
Preprints, Working Papers, ... hal-00688862v1
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Mathematical foundations of computational electromagnetism

Franck Assous , Patrick Ciarlet , Simon Labrunie
Springer, 2017, Mathematical Foundations of Computational Electromagnetism, 978-3-319-70841-6. ⟨10.1007/978-3-319-70842-3⟩
Books hal-01596575v2
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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 et al.
Numerische Mathematik, 2006, 102, pp.583-610. ⟨10.1007/s00211-005-0664-8⟩
Journal articles hal-00094298v1

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

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 istex hal-00583961v1

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);2-x⟩
Journal articles istex hal-00878224v1

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 istex hal-00873069v1

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 istex hal-00873075v1

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

Patrick Ciarlet , Minh Hieu Do , François Madiot
Preprints, Working Papers, ... cea-02893125v1

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 istex hal-00989621v1

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
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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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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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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