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hal-03164619v1  Journal articles
Patrick Ciarlet, Maryna Kachanovska. A mathematical study of a hyperbolic metamaterial in free space
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, In press
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hal-01176476v4  Journal articles
Patrick Ciarlet. On the approximation of electromagnetic fields by edge finite elements. Part 1: Sharp interpolation results for low-regularity fields
Computers & Mathematics with Applications, Elsevier, 2016, ⟨10.1016/j.camwa.2015.10.020⟩
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hal-01364782v2  Journal articles
Patrick Ciarlet, Sonia Fliss, Christian Stohrer. On the Approximation of Electromagnetic Fields by Edge Finite Elements. Part 2: A Heterogeneous Multiscale Method for Maxwell's equations
Computers & Mathematics with Applications, Elsevier, 2017, 73 (9), pp.1900-1919. ⟨10.1016/j.camwa.2017.02.043⟩
hal-00849560v1  Journal articles
Patrick Ciarlet. T-coercivity: Application to the discretization of Helmholtz-like problems
Computers & Mathematics with Applications, Elsevier, 2012, 64 (1), pp.22-34. ⟨10.1016/j.camwa.2012.02.034⟩
hal-00977677v1  Journal articles
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-00989564v1  Journal articles
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⟩
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hal-00664575v3  Reports
Patrick Ciarlet. T-coercivity: application to the discretization of Helmholtz-like problems
2012
hal-01010389v1  Journal articles
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-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-00989568v1  Journal articles
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-00873075v1  Journal articles
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-00937677v1  Journal articles
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⟩
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hal-00697755v1  Other publications
Eric Chung, Patrick Ciarlet. A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials
2012
hal-00983006v1  Journal articles
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-00873057v1  Journal articles
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⟩
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hal-00602904v1  Preprints, Working Papers, ...
Lucas Chesnel, Patrick Ciarlet. Compact imbeddings in electromagnetism with interfaces between classical materials and meta-materials
2011
hal-01010426v1  Journal articles
Franck Assous, Patrick Ciarlet, Eric Sonnendrücker. Resolution of the Maxwell equations in a domain with reentrant corners
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 1998, 32 (3), pp.359-389
hal-00937681v1  Journal articles
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
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hal-00688862v1  Preprints, Working Papers, ...
Lucas Chesnel, Patrick Ciarlet. T-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients
2012
hal-00873083v1  Journal articles
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-01010396v1  Journal articles
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-00876233v1  Journal articles
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-00873070v1  Journal articles
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⟩