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Contributor/author Internal identifier : 142944
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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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On the approximation of electromagnetic fields by edge finite elements. Part 1: Sharp interpolation results for low-regularity fields

Patrick Ciarlet
Computers & Mathematics with Applications, 2016, ⟨10.1016/j.camwa.2015.10.020⟩
Journal articles hal-01176476v4
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T-coercivity for scalar interface problems between dielectrics and metamaterials

Anne-Sophie Bonnet-Ben Dhia , Lucas Chesnel , Patrick Ciarlet
ESAIM: Mathematical Modelling and Numerical Analysis, 2012, 46, pp.1363-1387. ⟨10.1051/m2an/2012006⟩
Journal articles hal-00564312v2
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T-coercivity: application to the discretization of Helmholtz-like problems

Patrick Ciarlet
2012
Reports hal-00664575v3
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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
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Nonlocal models for interface problems between dielectrics and metamaterials

Juan Pablo Borthagaray , Patrick Ciarlet
11th International Congress on Engineered Material Platforms for Novel Wave Phenomena - Metamaterials 2017, Aug 2017, Marseille, France. pp.3
Conference papers hal-01547364v1
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Compact imbeddings in electromagnetism with interfaces between classical materials and meta-materials

Lucas Chesnel , Patrick Ciarlet
2011
Preprints, Working Papers, ... hal-00602904v1
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Edge Element Methods for Maxwell's Equations with Strong Convergence for Gauss' Laws

Patrick Ciarlet , Haijun Wu , Jun Zou
SIAM Journal on Numerical Analysis, 2014, 52 (2), pp.779-807. ⟨10.1137/120899856⟩
Journal articles hal-01112201v1
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On the approximation of electromagnetic fields by edge finite elements. Part 3: sensitivity to coefficients

Patrick Ciarlet
SIAM Journal on Mathematical Analysis, 2020, ⟨10.1137/19M1275383⟩
Journal articles hal-02276430v3
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A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials

Eric T. Chung , Patrick Ciarlet
2012
Other publications hal-00697755v1
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Intrinsic Finite Element Methods for the Computation of Fluxes for Poisson's Equation

Philippe G. Ciarlet , Patrick Ciarlet , Stefan Sauter , C Simian
Numerische Mathematik, 2015, pp.30. ⟨10.1007/s00211-015-0730-9⟩
Journal articles hal-01160896v1
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Mathematical and numerical analyses for the div-curl and div-curlcurl problems with a sign-changing coefficient

Patrick Ciarlet
2021
Preprints, Working Papers, ... hal-02567484v2
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A Family of Crouzeix-Raviart Finite Elements in 3D

Patrick Ciarlet , Charles F Dunkl , Stefan A Sauter
Analysis and Applications, 2018, ⟨10.1142/S0219530518500070⟩
Journal articles hal-01488172v1
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Eigenvalue problems with sign-changing coefficients

Camille Carvalho , Lucas Chesnel , Patrick Ciarlet
Comptes Rendus. Mathématique, 2017, 355 (6), pp.671 - 675. ⟨10.1016/j.crma.2017.05.002⟩
Journal articles hal-01394856v2
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Domain decomposition methods for the diffusion equation with low-regularity solution

Patrick Ciarlet , Erell Jamelot , Félix D. Kpadonou
Computers & Mathematics with Applications, 2017, ⟨10.1016/j.camwa.2017.07.017⟩
Journal articles hal-01349385v4
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Numerical analysis of the mixed finite element method for the neutron diffusion eigenproblem with heterogeneous coefficients

Patrick Ciarlet , Léandre Giret , Erell Jamelot , Félix D. Kpadonou
ESAIM: Mathematical Modelling and Numerical Analysis, 2018, 52 (5), pp.2003-2035. ⟨10.1051/m2an/2018011⟩
Journal articles hal-01566179v2