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hal-02417379v1  Conference papers
L. GiretJr. Ciarlet PE. Jamelot. Criticality Computation with Finite Element Method on Non-Conforming Meshes
International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (MandC 2017), Apr 2017, Jeju-do, South Korea
hal-00983013v1  Journal articles
Patrick Ciarlet. Augmented formulations for solving Maxwell equations
Computer Methods in Applied Mechanics and Engineering, Elsevier, 2005, 194 (2-5), pp.559-586. ⟨10.1016/j.cma.2004.05.021⟩
hal-00876233v1  Journal articles
Patrick CiarletSamir Kaddouri. Multiscaled asymptotic expansions for the electric potential: Surface charge densities and electric fields at rounded corners
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2007, 17 (6), pp.845-876. ⟨10.1142/s0218202507002133⟩
hal-00989582v1  Journal articles
Patrick Ciarlet. Système de Stokes avec flux de vitesse et pression imposés
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2003, 337 (2), pp.119-124. ⟨10.1016/S1631-073X(03)00270-X⟩
hal-00937670v1  Conference papers
Anne-Sophie Bonnet-Ben DhiaLucas ChesnelPatrick CiarletXavier ClaeysSerguei Nazarov. Negative materials and corners in electromagnetism
Report No.3/2013 of Mathematisches Forschungsinstitut Oberwolfach "Computational Electromagnetism and Acoustics", 2013, Oberwolfach, Germany
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hal-02651682v3  Journal articles
Damien ChicaudPatrick CiarletAxel Modave. Analysis of variational formulations and low-regularity solutions for time-harmonic electromagnetic problems in complex anisotropic media
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2021, 53 (3), pp.2691-2717. ⟨10.1137/20M1344111⟩
hal-00989073v1  Journal articles
Patrick CiarletJiwen He. La Méthode du Complément Singulier pour des problèmes scalaires 2d
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2003, 336 (4), pp.353-358. ⟨10.1016/S1631-073X(03)00030-X⟩
hal-01010726v1  Journal articles
Patrick CiarletNikolai FilonovSimon Labrunie. Un résultat de fermeture pour les équations de Maxwell en géométrie axisymétrique
Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2000, 331 (4), pp.293-298. ⟨10.1016/S0764-4442(00)01617-7⟩
hal-01010389v1  Journal articles
Patrick CiarletJun Zou. Finite element convergence for the Darwin model to Maxwell's equations
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 1997, 31 (2), pp.213-250
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hal-00762275v1  Journal articles
Anne-Sophie Bonnet-Ben DhiaLucas ChesnelPatrick Ciarlet. T-coercivity for the Maxwell problem with sign-changing coefficients
Communications in Partial Differential Equations, Taylor & Francis, 2014
hal-01010417v1  Journal articles
Franck AssousPatrick Ciarlet. Une caractérisation de l'orthogonal de $\Delta (H^2(\Omega)\cap H^1_0(\Omega))$ dans $L^2(\Omega)$
Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1997, 325 (6), pp.605-610. ⟨10.1016/S0764-4442(97)84769-6⟩
hal-00989564v1  Journal articles
Franck AssousPatrick CiarletSimon Labrunie. Solution of axisymmetric Maxwell equations
Mathematical Methods in the Applied Sciences, Wiley, 2003, 26 (10), pp.861-896. ⟨10.1002/mma.400⟩
hal-00977677v1  Journal articles
Franck AssousPatrick CiarletEmmanuelle GarciaJacques Segré. Time-dependent Maxwell's equations with charges in singular geometries
Computer Methods in Applied Mechanics and Engineering, Elsevier, 2006, 196 (1-3), pp.665-681. ⟨10.1016/j.cma.2006.07.007⟩
hal-00873070v1  Journal articles
Philippe G. CiarletPatrick Ciarlet. Direct computation of stresses in planar linearized elasticity
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2009, 19 (7), pp.1043-1064. ⟨10.1142/s0218202509003711⟩
hal-01010610v1  Journal articles
Patrick CiarletChristophe HazardStéphanie Lohrengel. Les équations de Maxwell dans un polyèdre : un résultat de densité
Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1998, 326 (11), pp.1305-1310. ⟨10.1016/S0764-4442(98)80184-5⟩
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hal-01111101v1  Journal articles
Patrick CiarletChristian Stohrer. Finite Element Heterogeneous Multiscale Method for the Classical Helmholtz Equation
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2014, 352 (9), pp.755-760. ⟨10.1016/j.crma.2014.07.006⟩