Nombre de documents

63

Patrick Ciarlet's HAL page


Pour plus d'informations, voir ma page web à l'ENSTA/UMA

For more informations, see my professional web page at ENSTA


Article dans une revue63 documents

  • Patrick Ciarlet. On the approximation of electromagnetic fields by edge finite elements. Part 1: Sharp interpolation results for low-regularity fields. Computers and Mathematics with Applications, Elsevier, 2016, <10.1016/j.camwa.2015.10.020>. <hal-01176476v4>
  • Anne-Sophie Bonnet-Ben Dhia, Camille Carvalho, Lucas Chesnel, Patrick Ciarlet. On the use of Perfectly Matched Layers at corners for scattering problems with sign-changing coefficients. Journal of Computational Physics, Elsevier, 2016, 322, pp.224-247. <10.1016/j.jcp.2016.06.037>. <hal-01225309v2>
  • Philippe G. Ciarlet, Patrick Ciarlet, Stefan Sauter, C Simian. Intrinsic Finite Element Methods for the Computation of Fluxes for Poisson's Equation. Numerische Mathematik, Springer Verlag, 2015, pp.30. <10.1007/s00211-015-0730-9>. <hal-01160896>
  • Patrick Ciarlet, Haijun Wu, Jun Zou. Edge Element Methods for Maxwell's Equations with Strong Convergence for Gauss' Laws. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2014, 52 (2), pp.779-807. <10.1137/120899856>. <hal-01112201>
  • Patrick Ciarlet, Christian Stohrer. Finite Element Heterogeneous Multiscale Method for the Classical Helmholtz Equation. Comptes Rendus Mathématique, Elsevier Masson, 2014, 352 (9), pp.755-760. <http://www.sciencedirect.com/science/article/pii/S1631073X14001630>. <10.1016/j.crma.2014.07.006>. <hal-01111101>
  • Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Patrick Ciarlet. T-coercivity for the Maxwell problem with sign-changing coefficients. Communications in Partial Differential Equations, Taylor & Francis, 2014. <hal-00762275>
  • Eric T. Chung, Patrick Ciarlet. Scalar transmission problems between dielectrics and metamaterials: T-coercivity for the Discontinuous Galerkin approach.. Journal of Computational and Applied Mathematics, Elsevier, 2013, 239, pp.189--207. <hal-00937681>
  • Patrick Ciarlet. Analysis of the Scott-Zhang interpolation in the fractional order Sobolev spaces. Journal of Numerical Mathematics, De Gruyter, 2013, 21 (3), pp.173-180. <10.1515/jnum-2013-0007>. <hal-00937677>
  • Erell Jamelot, Patrick Ciarlet. Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation. Journal of Computational Physics, Elsevier, 2013, 241, pp.445--463. <hal-00937674>
  • Eric T. Chung, Patrick Ciarlet, Tang Fei Yu. Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell’s equations on Cartesian grids. Journal of Computational Physics, Elsevier, 2013, 235, pp.14--31. <10.1016/j.jcp.2012.10.019>. <hal-00937679>
  • Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Patrick Ciarlet. Two-dimensional Maxwell's equations with sign-changing coefficients. APNUM, Elsevier, 2013, <10.1016/j.apnum.2013.04.006>. <hal-00937769>
  • Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Patrick Ciarlet. T-coercivity for scalar interface problems between dielectrics and metamaterials. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2012, 46, pp.1363-1387. <10.1051/m2an/2012006>. <hal-00564312v2>
  • Patrick Ciarlet. T-coercivity: Application to the discretization of Helmholtz-like problems. Computers and Mathematics with Applications, Elsevier, 2012, 64 (1), pp.22-34. <10.1016/j.camwa.2012.02.034>. <hal-00849560>
  • Patrick Ciarlet, Simon Labrunie. Numerical solution of Maxwell's equations in axisymmetric domains with the Fourier Singular Complement Method. The Journal of Difference Equations and Applications, 2011, 3, pp.113-155. <hal-00365391v3>
  • Oana Iosifescu, Philippe G. Ciarlet, Patrick Ciarlet, Stefan Sauter, Zou Jun. Lagrange multipliers in intrinsic elasticity.. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2011, 21, pp.651-666. <10.1142/S0218202511005167>. <hal-00804289>
  • Anne-Sophie Bonnet-Ben Dhia, Patrick Ciarlet, Carlo Maria Zwölf. Time harmonic wave diffraction problems in materials with sign-shifting coefficients. Journal of Computational and Applied Mathematics, Elsevier, 2010, 234 (6), pp.1912-1919. <10.1016/j.cam.2009.08.041>. <hal-00975073>
  • Patrick Ciarlet, Claire Scheid. Electrowetting of a 3D drop: Numerical modelling with electrostatic vector fields. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2010, 44 (4), pp.647-670. <10.1051/m2an/2010014>. <hal-00873057>
  • Patrick Ciarlet, François Lefèvre, Stéphanie Lohrengel, Serge Nicaise. Weighted regularization for composite materials in electromagnetism. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2010, 44 (1), pp.75-108. <10.1051/m2an/2009041>. <hal-00873065>
  • Oana Iosifescu, Philippe G. Ciarlet, Patrick Ciarlet, Zou Jun, Stefan Sauter. A Lagrangian approach to intrinsic linearized elasticity. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2010, 348, pp.587-592. <10.1016/j.crma.2010.04.011>. <hal-00804358>
  • Chérif Amrouche, Philippe G. Ciarlet, Patrick Ciarlet. Weak vector and scalar potentials. Applications to Poincaré's theorem and Korn's inequality in Sobolev spaces with negative exponents.. Analysis and Applications, World Scientific Publishing, 2010, 8 (1), pp.1-17. <10.1142/s0219530510001497>. <hal-00444185>
  • Philippe G. Ciarlet, Patrick 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-00873070>
  • Annalisa Buffa, Patrick Ciarlet, Erell Jamelot. Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements. Numerische Mathematik, Springer Verlag, 2009, 113 (4), pp.497-518. <10.1007/s00211-009-0246-2>. <hal-00873069>
  • Patrick Ciarlet, Simon Labrunie. Numerical analysis of the generalized Maxwell equations (with an elliptic correction) for charged particle simulations. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2009, 19 (11), pp.1959-1994. <10.1142/S0218202509004017>. <hal-00291503v2>
  • F. Assous, Patrick Ciarlet, E. Garcia. A characterization of singular electromagnetic fields by an inductive approach. International Journal of Numerical Analysis and Modeling, Institute for Scientific Computing and Information, 2008, 5 (3), pp.491-515. <hal-00873083>
  • Anne-Sophie Bonnet-Ben Dhia, Patrick Ciarlet, Carlo Maria Zwölf. A new compactness result for electromagnetic waves. Application to the transmission problem between dielectrics and metamaterials. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2008, 18 (9), pp.1605-1631. <10.1142/s0218202508003145>. <hal-00873080>
  • Patrick Ciarlet, Grace Hechme. Computing electromagnetic eigenmodes with continuous Galerkin approximations. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2008, 198 (2), pp.358-365. <10.1016/j.cma.2008.08.005>. <hal-00873075>
  • Philippe G. Ciarlet, Patrick Ciarlet. A new approach for approximating linear elasticity problems. Comptes Rendus Mathématique, Elsevier Masson, 2008, 346 (5-6), pp.351-356. <10.1016/j.crma.2008.01.014>. <hal-00876220>
  • Patrick Ciarlet, Régine Barthelmé, Eric Sonnendrücker. Generalized formulations of Maxwell's equations for numerical Vlasov-Maxwell simulations. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2007, 17 (5), pp.657--680. <10.1142/S0218202507002066>. <hal-00180708>
  • Anne-Sophie Bonnet-Ben Dhia, Patrick Ciarlet, Carlo Maria Zwölf. Two- and three-field formulations for wave transmission between media with opposite sign dielectric constants. Journal of Computational and Applied Mathematics, Elsevier, 2007, 204 (2 SPEC. ISS.), pp.408-417. <10.1016/j.cam.2006.01.046>. <hal-00876230>
  • Patrick Ciarlet, Erell Jamelot. Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries. Journal of Computational Physics, Elsevier, 2007, 226 (1), pp.1122-1135. <10.1016/j.jcp.2007.05.029>. <hal-00876227>
  • Patrick Ciarlet, Samir 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-00876233>
  • Patrick Ciarlet, Guillaume Legendre. Well-posedness of the Drude-Born-Fedorov model for chiral media. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2007, 17 (3), pp.461-484. <10.1142/s0218202507001991>. <hal-00876234>
  • Philippe G. Ciarlet, Patrick Ciarlet, Giuseppe Geymonat, Françoise Krasucki. Characterization of the kernel of the operator CURL CURL. Comptes Rendus Mathématique, Elsevier Masson, 2007, 344 (série I), pp.305-308. <10.1016/j.crma.2007.01.001>. <hal-00583961>
  • Patrick Ciarlet, Samir Kaddouri. A justification of Peek's empirical law in electrostatics [Justification de la loi de Peek en électrostatique]. Comptes Rendus Mathématique, Elsevier Masson, 2006, 343 (10), pp.671-674. <10.1016/j.crma.2006.10.009>. <hal-00876237>
  • Franck Assous, Patrick Ciarlet, Emmanuelle Garcia, Jacques 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-00977677>
  • Patrick Ciarlet, Beate Jung, Samir Kaddouri, Simon Labrunie, Jun Zou. The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains. Numerische Mathematik, Springer Verlag, 2006, 102, pp.583-610. <hal-00094298>
  • Patrick Ciarlet, Philippe G. Ciarlet. Another approach to linearized elasticity and a new proof of Korn's inequality. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2005, 15 (02), pp.259-271. <10.1142/S0218202505000352>. <hal-00983006>
  • 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-00983013>
  • Franck Assous, Patrick Ciarlet, Emmanuelle Garcia. Singular electromagnetic fields: Inductive approach [Singularités électromagnétiques: Une approche inductive]. Comptes Rendus Mathématique, Elsevier Masson, 2005, 341 (10), pp.605-610. <10.1016/j.crma.2005.09.034>. <hal-00876241>
  • Patrick Ciarlet, Beate Jung, Samir Kaddouri, Simon Labrunie, Jun Zou. The Fourier Singular Complement Method for the Poisson problem. Part I: prismatic domains. Numerische Mathematik, Springer Verlag, 2005, 101, pp.423-450. <10.1007/s00211-005-0621-6>. <hal-00094285>
  • Patrick Ciarlet, Emmanuelle Garcia, Jun Zou. Solving Maxwell equations in 3D prismatic domains [Résolution des équations de Maxwell dans des domaines prismatiques tridimensionnels]. Comptes Rendus Mathématique, Elsevier Masson, 2004, 339 (10), pp.721-726. <10.1016/j.crma.2004.09.032>. <hal-00876247>
  • Patrick Ciarlet, Philippe G. Ciarlet. Another approach to linearized elasticity and Korn's inequality. Comptes Rendus Mathématique, Elsevier Masson, 2004, 339 (4), pp.307-312. <10.1016/j.crma.2004.06.021>. <hal-00988265>
  • Patrick Ciarlet, Jianguo Huang, Jun Zou. Some observations on generalized saddle-point problems. SIAM Journal on Matrix Analysis and Applications, Society for Industrial and Applied Mathematics, 2003, 25 (1), pp.224-236. <10.1137/S0895479802410827>. <hal-00989568>
  • Franck Assous, Patrick Ciarlet, Simon Labrunie, Jacques Segré. Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: The Singular Complement Method. Journal of Computational Physics, Elsevier, 2003, 191 (1), pp.147-176. <10.1016/S0021-9991(03)00309-7>. <hal-00989621>
  • Patrick Ciarlet, Jiwen He. La Méthode du Complément Singulier pour des problèmes scalaires 2d. Comptes Rendus Mathématique, Elsevier Masson, 2003, 336 (4), pp.353-358. <10.1016/S1631-073X(03)00030-X>. <hal-00989073>
  • Franck Assous, Patrick Ciarlet, Simon Labrunie. Solution of axisymmetric Maxwell equations. Mathematical Methods in the Applied Sciences, Wiley, 2003, 26 (10), pp.861-896. <10.1002/mma.400>. <hal-00989564>
  • Patrick Ciarlet. Système de Stokes avec flux de vitesse et pression imposés. Comptes Rendus Mathématique, Elsevier Masson, 2003, 337 (2), pp.119-124. <10.1016/S1631-073X(03)00270-X>. <hal-00989582>
  • Patrick Ciarlet, Vivette Girault. Condition inf-sup pour l'élément fini de Taylor-Hood P2-iso-P1, 3D; application aux équations de Maxwell. Comptes Rendus Mathématique, Elsevier Masson, 2002, 335 (10), pp.827-832. <10.1016/S1631-073X(02)02564-5>. <hal-00990187>
  • Franck Assous, Patrick Ciarlet, Simon Labrunie. Theoretical tools to solve the axisymmetric Maxwell equations. Mathematical Methods in the Applied Sciences, Wiley, 2002, 25 (1), pp.49-78. <10.1002/mma.279>. <hal-00878222>
  • Annalisa Buffa, Patrick Ciarlet. On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra. Mathematical Methods in the Applied Sciences, Wiley, 2001, 24 (1), pp.9-30. <10.1002/1099-1476(20010110)24:1(9::aid-mma191)3.0.co;2-2>. <hal-00878223>
  • 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. Mathematical Methods in the Applied Sciences, Wiley, 2001, 24 (1), pp.31-48. <10.1002/1099-1476(20010110)24:1(31::aid-mma193)3.0.co;2-x>. <hal-00878224>
  • Franck Assous, Patrick Ciarlet, Emmanuelle Garcia. Résolution des équations de Maxwell instationnaires avec charges dans un domaine singulier bidimensionnel. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2000, 330, pp.391-396. <10.1016/S0764-4442(00)00159-2>. <hal-01010723>
  • Patrick Ciarlet, Nikolai Filonov, Simon 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-01010726>
  • Franck Assous, Patrick Ciarlet, Jacques Segré. Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: the Singular Complement Method. Journal of Computational Physics, Elsevier, 2000, 161 (1), pp.218-249. <10.1006/jcph.2000.6499>. <hal-01010725>
  • Patrick Ciarlet, Jun Zou. Fully discrete finite element approaches for time-dependent Maxwell's equations. Numerische Mathematik, Springer Verlag, 1999, 82 (2), pp.193-219. <10.1007/s002110050417>. <hal-01010719>
  • Franck Assous, Patrick Ciarlet, Simon Labrunie. Caractérisation de la partie singulière et résolution des équations de Maxwell en géométrie singulière axisymétrique. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1999, 328 (9), pp.767-772. <10.1016/S0764-4442(99)80269-9>. <hal-01010720>
  • Franck Assous, Patrick Ciarlet. Quelques résultats sur la régularité en temps des équations de Maxwell instationnaires. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1998, 327 (8), pp.719-724. <10.1016/S0764-4442(98)80158-4>. <hal-01010667>
  • Patrick Ciarlet, Christophe Hazard, Stéphanie 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>. <hal-01010610>
  • Franck Assous, Patrick Ciarlet, Eric Sonnendrücker. Resolution of the Maxwell equations in a domain with reentrant corners. Modelisation Mathématique et Analyse Numérique, EDP sciences SMAI, 1998, 32 (3), pp.359-389. <hal-01010426>
  • Patrick Ciarlet, Jun 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. <hal-01010389>
  • Tony F. Chan, Patrick Ciarlet, W. K. Szeto. On the optimality of the median cut spectral bisection graph partitioning method. SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 1997, 18 (3), pp.943-948. <10.1137/S1064827594262649>. <hal-01010396>
  • Patrick Ciarlet, Eric Sonnendrücker. A decomposition of the electric field. Application to the Darwin model. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 1997, 7 (8), pp.1085-1120. <10.1142/S0218202597000542>. <hal-01010405>
  • Franck Assous, Patrick 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-01010417>