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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
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hal-00564312v2  Journal articles
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⟩
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hal-01112201v1  Journal articles
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⟩
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hal-00664575v3  Reports
Patrick Ciarlet. T-coercivity: application to the discretization of Helmholtz-like problems
2012
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hal-01394856v2  Journal articles
Camille Carvalho, Lucas Chesnel, Patrick Ciarlet. Eigenvalue problems with sign-changing coefficients
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2017, 355 (6), pp.671 - 675. ⟨10.1016/j.crma.2017.05.002⟩
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hal-01566179v2  Journal articles
Patrick Ciarlet, Léandre Giret, Erell Jamelot, Félix Kpadonou. Numerical analysis of the mixed finite element method for the neutron diffusion eigenproblem with heterogeneous coefficients
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2018, 52 (5), pp.2003-2035. ⟨10.1051/m2an/2018011⟩
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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
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hal-01160896v1  Journal articles
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⟩
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hal-02276430v3  Journal articles
Patrick Ciarlet. On the approximation of electromagnetic fields by edge finite elements. Part 3: sensitivity to coefficients
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2020, ⟨10.1137/19M1275383⟩
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hal-03273264v1  Preprints, Working Papers, ...
Patrick Ciarlet. On the approximation of electromagnetic fields by edge finite elements. Part 4: analysis of the model with one sign-changing coefficient
2021
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hal-01912092v1  Journal articles
Juan Pablo Borthagaray, Patrick Ciarlet. On the convergence in $H^1$-norm for the fractional Laplacian
SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2019, 57, pp.1723-1743. ⟨10.1137/18M1221436⟩
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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-03613183v1  Preprints, Working Papers, ...
Damien Chicaud, Patrick Ciarlet. Analysis of time-harmonic Maxwell impedance problems in anisotropic media
2022
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hal-02567484v2  Preprints, Working Papers, ...
Patrick Ciarlet. Mathematical and numerical analyses for the div-curl and div-curlcurl problems with a sign-changing coefficient
2021
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hal-01335153v3  Journal articles
Anne-Sophie Bonnet-Ben Dhia, Camille Carvalho, Patrick Ciarlet. Mesh requirements for the finite element approximation of problems with sign-changing coefficients
Numerische Mathematik, Springer Verlag, 2018, 138, pp.801-838. ⟨10.1007/s00211-017-0923-5⟩
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hal-01547364v1  Conference papers
Juan Pablo Borthagaray, Patrick Ciarlet. Nonlocal models for interface problems between dielectrics and metamaterials
11th International Congress on Engineered Material Platforms for Novel Wave Phenomena - Metamaterials 2017, Aug 2017, Marseille, France. pp.3
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hal-01349385v4  Journal articles
Patrick Ciarlet, Erell Jamelot, Félix Kpadonou. Domain decomposition methods for the diffusion equation with low-regularity solution
Computers & Mathematics with Applications, Elsevier, 2017, ⟨10.1016/j.camwa.2017.07.017⟩
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hal-01488172v1  Journal articles
Patrick Ciarlet, Charles Dunkl, Stefan Sauter. A Family of Crouzeix-Raviart Finite Elements in 3D
Analysis and Applications, World Scientific Publishing, 2018, ⟨10.1142/S0219530518500070⟩
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hal-03153780v2  Lectures
Patrick Ciarlet. Notes de cours sur les équations de Maxwell et leur approximation
Master. France. 2021