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1

On traces for functional spaces related to Maxwell's equations Part II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications

A. Buffa, P. Ciarlet Jr.

Journal:

Mathematical Methods in the Applied Sciences

Year:

2001

Language:

english

File:

PDF, 190 KB

english, 2001

2

Characterization of the kernel of the operator CURL CURL

Philippe G. Ciarlet, Patrick Ciarlet Jr., Giuseppe Geymonat, Françoise Krasucki

Journal:

Comptes Rendus Mathematique

Year:

2007

File:

PDF, 124 KB

2007

3

Vector and scalar potentials, Poincaré's theorem and Korn's inequality

Chérif Amrouche, Philippe G. Ciarlet, Patrick Ciarlet Jr.

Journal:

Comptes Rendus Mathematique

Year:

2007

File:

PDF, 146 KB

2007

4

On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra

A. Buffa, P. Ciarlet Jr.

Journal:

Mathematical Methods in the Applied Sciences

Year:

2001

Language:

english

File:

PDF, 216 KB

english, 2001

5

Another approach to linearized elasticity and Korn's inequality

Philippe G. Ciarlet, Patrick Ciarlet Jr.

Journal:

Comptes Rendus Mathematique

Year:

2004

File:

PDF, 115 KB

2004

6

Augmented formulations for solving Maxwell equations

Patrick Ciarlet Jr.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2005

Language:

english

File:

PDF, 523 KB

english, 2005

7

Les équations de Maxwell dans un polyèdre: un résultat de densité

Patrick Ciarlet Jr., Christophe Hazard, Stephanie Lohrengel

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1998

Language:

english

File:

PDF, 474 KB

english, 1998

8

Finite element convergence for the Darwin model to Maxwell's equations

Ciarlet, P. Jr., Zou, Jun

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

1997

File:

PDF, 2.34 MB

1997

9

Characterization of the singular part of the solution of Maxwell's equations in a polyhedral domain

F. Assous, P. Ciarlet Jr., Prof. Dr. P.-A. Raviart, E. Sonnendrücker

Journal:

Mathematical Methods in the Applied Sciences

Year:

1999

Language:

english

File:

PDF, 138 KB

english, 1999

10

Theoretical tools to solve the axisymmetric Maxwell equations

F. Assous, P. Ciarlet Jr., S. Labrunie

Journal:

Mathematical Methods in the Applied Sciences

Year:

2002

Language:

english

File:

PDF, 235 KB

english, 2002

11

Solution of axisymmetric Maxwell equations

Franck Assous, Patrick Ciarlet Jr, Simon Labrunie

Journal:

Mathematical Methods in the Applied Sciences

Year:

2003

Language:

english

File:

PDF, 309 KB

english, 2003

12

Numerical Solution to the Time-Dependent Maxwell Equations in Two-Dimensional Singular Domains: The Singular Complement Method

F. Assous, P. Ciarlet Jr., J. Segré

Journal:

Journal of Computational Physics

Year:

2000

Language:

english

File:

PDF, 472 KB

english, 2000

13

Two- and three-field formulations for wave transmission between media with opposite sign dielectric constants

A.S. Bonnet-Ben Dhia, P. Ciarlet Jr., C.M. Zwölf

Journal:

Journal of Computational and Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 189 KB

english, 2007

14

Time harmonic wave diffraction problems in materials with sign-shifting coefficients

A.S. Bonnet-Ben Dhia, P. Ciarlet Jr., C.M. Zwölf

Journal:

Journal of Computational and Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 330 KB

english, 2010

15

Erratum to “Time harmonic wave diffraction problems in materials with sign-shifting coefficients” [J. Comput. Appl. Math. doi:10.1016/j.cam.2009.08.041]

A.S. Bonnet-Ben Dhia, P. Ciarlet Jr.

Journal:

Journal of Computational and Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 164 KB

english, 2010

16

Time-dependent Maxwell’s equations with charges in singular geometries

F. Assous, P. Ciarlet Jr., E. Garcia, J. Segré

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2006

Language:

english

File:

PDF, 1.10 MB

english, 2006

17

Computing electromagnetic eigenmodes with continuous Galerkin approximations

Patrick Ciarlet Jr., Grace Hechme

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2008

Language:

english

File:

PDF, 236 KB

english, 2008

18

Singular electromagnetic fields: inductive approach

Franck Assous, Patrick Ciarlet Jr., Emmanuelle Garcia

Journal:

Comptes Rendus Mathematique

Year:

2005

Language:

french

File:

PDF, 93 KB

french, 2005

19

Justification de la loi de Peek en électrostatique

Patrick Ciarlet Jr., Samir Kaddouri

Journal:

Comptes Rendus Mathematique

Year:

2006

Language:

french

File:

PDF, 135 KB

french, 2006

20

Corrigendum à la Note “Justification de la loi de Peek en électrostatique” [C. R. Acad. Sci. Paris, Ser. I 343 (10) (2006) 671–674]

Patrick Ciarlet Jr., Samir Kaddouri

Journal:

Comptes Rendus Mathematique

Year:

2007

Language:

french

File:

PDF, 84 KB

french, 2007

21

A new approach for approximating linear elasticity problems

Philippe G. Ciarlet, Patrick Ciarlet Jr.

Journal:

Comptes Rendus Mathematique

Year:

2008

Language:

english

File:

PDF, 148 KB

english, 2008

22

A Lagrangian approach to intrinsic linearized elasticity

Philippe G. Ciarlet, Patrick Ciarlet Jr., Oana Iosifescu, Stefan Sauter, Jun Zou

Journal:

Comptes Rendus Mathematique

Year:

2010

File:

PDF, 159 KB

2010

23

Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries

Patrick Ciarlet Jr., Erell Jamelot

Journal:

Journal of Computational Physics

Year:

2007

Language:

english

File:

PDF, 906 KB

english, 2007

24

Solving Vlasov–Maxwell equations in singular geometries

Franck Assous, Patrick Ciarlet Jr.

Journal:

Mathematics and Computers in Simulation

Year:

2008

Language:

english

File:

PDF, 204 KB

english, 2008

25

Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: the singular complement method

F. Assous, P. Ciarlet Jr., S. Labrunie, J. Segré

Journal:

Journal of Computational Physics

Year:

2003

Language:

english

File:

PDF, 552 KB

english, 2003

26

Résolution des équations de Maxwell instationnaires avec charges dans un domaine singulier bidimensionnel

Franck Assous, Patrick Ciarlet, Jr., Emmanuelle Garcia

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2000

File:

PDF, 153 KB

2000

27

Un résultat de fermeture pour les équations de Maxwell en géométrie axisymétrique

Patrick Ciarlet, Jr., Nikolaı̈ Filonov, Simon Labrunie

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2000

File:

PDF, 144 KB

2000

28

Une caractérisation de l'orthogonal de Δ(H2(Ω) ∩ H01(Ω)) dans L2(Ω)

Franck Assous, Patrick Ciarlet Jr.

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1997

File:

PDF, 368 KB

1997

29

Quelques résultats sur la régularité en temps des équations de Maxwell instationnaires

Franck Assous, Patrick Ciarlet Jr

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1998

Language:

english

File:

PDF, 499 KB

english, 1998

30

Caractérisation des singularités et résolution des équations de Maxwell stationnaires en géométrie axisymétrique

Franck Assous, Patrick Ciarlet Jr., Simon Labrunie

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1999

Language:

english

File:

PDF, 397 KB

english, 1999

31

Condition inf-sup pour l'élément fini de Taylor–Hood P2-iso-P1, 3-D ; application aux équations de Maxwell

Patrick Ciarlet Jr., Vivette Girault

Journal:

Comptes Rendus Mathematique

Year:

2002

File:

PDF, 88 KB

2002

32

The Singular Complement Method for 2d scalar problems

Patrick Ciarlet Jr., Jiwen He

Journal:

Comptes Rendus Mathematique

Year:

2003

Language:

french

File:

PDF, 119 KB

french, 2003

33

Système de Stokes avec flux de vitesse et pression imposés

Patrick Ciarlet Jr.

Journal:

Comptes Rendus Mathematique

Year:

2003

Language:

english

File:

PDF, 105 KB

english, 2003

34

The Fourier Singular Complement Method for the Poisson problem. Part I: prismatic domains

P. Ciarlet Jr, B. Jung, S. Kaddouri, S. Labrunie, J. Zou

Journal:

Numerische Mathematik

Year:

2005

Language:

english

File:

PDF, 268 KB

english, 2005

35

Fully discrete finite element approaches for time-dependent Maxwell's equations

P. Ciarlet, Jr, Jun Zou

Journal:

Numerische Mathematik

Year:

1999

Language:

english

File:

PDF, 194 KB

english, 1999

36

T-coercivity: Application to the discretization of Helmholtz-like problems

Patrick Ciarlet Jr.

Journal:

Computers & Mathematics with Applications

Year:

2012

Language:

english

File:

PDF, 310 KB

english, 2012

37

A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials

Eric T. Chung, Patrick Ciarlet Jr.

Journal:

Journal of Computational and Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 1.06 MB

english, 2013

38

T-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients

Lucas Chesnel, Patrick Ciarlet Jr.

Journal:

Numerische Mathematik

Year:

2013

Language:

english

File:

PDF, 834 KB

english, 2013

39

On the approximation of electromagnetic fields by edge finite elements. Part 1: Sharp interpolation results for low-regularity fields

Ciarlet Jr., Patrick

Journal:

Computers & Mathematics with Applications

Year:

2016

Language:

english

File:

PDF, 504 KB

english, 2016

40

Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields

Ciarlet Jr., Patrick, Scheid, Claire

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2010

Language:

english

File:

PDF, 500 KB

english, 2010

41

On the approximation of electromagnetic fields by edge finite elements. Part 2: A heterogeneous multiscale method for Maxwell’s equations

Ciarlet Jr., Patrick, Fliss, Sonia, Stohrer, Christian

Journal:

Computers & Mathematics with Applications

Year:

2017

Language:

english

File:

PDF, 886 KB

english, 2017

42

Weighted regularization for composite materials in electromagnetism

Ciarlet Jr., Patrick, Lefèvre, François, Lohrengel, Stéphanie, Nicaise, Serge

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2010

Language:

english

File:

PDF, 551 KB

english, 2010

43

On the Convergence in $H^1$-Norm for the Fractional Laplacian

Borthagaray, Juan Pablo, Jr, Patrick Ciarlet

Journal:

SIAM Journal on Numerical Analysis

Year:

2019

Language:

english

File:

PDF, 526 KB

english, 2019

44

Finite element convergence for the Darwin model to Maxwell's equations

Ciarlet, P. Jr., Zou, Jun

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

1997

File:

PDF, 2.34 MB

1997