Claire Scheid

Assistant Professor                                                                                                                                                       (cette page en français)                 

E-Mail Claire.SCHEID (at) unice.fr
Phone +33 4 92 07 64 95
Fax
+33 4 93 51 79 74
Address





Office










Office
Laboratoire Jean Alexandre Dieudonné                                                                    
Universite de Nice Sophia-Antipolis                                                                              
Parc Valrose                                                                                                                  
06108 NICE, Cedex 02, France                                                                                    
                                                              
Room 814     
         

                     &

                             
                                                                        
INRIA Sophia-Antipolis
NACHOS project-team
2004 Route des Lucioles, B.P. 93
06902 Sophia Antipolis Cedex, France

Room G46



Short CV         




Research Interests  Teaching   Conferences and Seminars co-organization   Publications    PhD thesis     Communications    Students    Collaborators

CV

Short version

Research interests

Numerical analysis of partial differential equations in problems from theoretical physics.
Wave propagation in dispersive media.  Nanophotonics.
Finite Elements, Discontinous Galerkin methods.
Modelling of Electrowetting process (What is electrowetting?).
Elliptic PDE's in corner domains, Variational calculus
Shape optimization problems.

Teaching

2016/2017

Agrégation     UE1, Analysis (2016)

                        UE8, Modélisation, Calcul scientifique (2017)

M1 MPA/IM  Numerical Methods (2017)

M1 MPA        Analyse Hilbertienne 2016/2017

Archives

Conferences and Seminars co-organization

CompNano2016 : 5-7 October 2016

Journées Numériques, 17-18 May 2016

Conference IDTPSI, 12-14 January 2015.

Web page of the Colloquium of the Laboratoire Dieudonné.

NACHOS group seminar, INRIA Sophia Antipolis.

Publications

Analysis of a Generalized Dispersive Model coupled to a DGTD method with application to Nanophotonics,
S. Lanteri, C. Scheid, J. Viquerat, accepted to appear in SIAM Journal of Scientific Computing (SISC) (2017).

A DGTD method for the numerical modeling of the interaction of light with nanometer scale metallic structures taking into account non-local dispersion effects,
N. Schmitt, C. Scheid, S. Lanteri, J. Viquerat, A. Moreau, Journal of Computational Physics 316 (2016) 396–415.

Travelling waves for the Nonlinear Schrödinger Equation with general nonlinearity in dimension two,
D. Chiron, C. Scheid, Journal of Nonlinear Sciences (2016), 26, no. 1, 171-231 (preprint on HAL or online version).

A 3D curvilinear Discontinuous Galerkin time-domain method for nanoscale light-matter interactions,
 J. Viquerat, C. Scheid., J. Computational Applied Mathematics,   289, 37-50 (2015) (online version).

A parallel non-confoming multi-element DGTD method for the simulation of electromagnetic wave interaction with metallic nanoparticles,
R. Leger, J. Viquerat, C. Durochat, C. Scheid and S. Lanteri, accepted, to appear in J. Comput. Appl. Math. (2013).

High order non-conforming multi-element Discontinuous Galerkin method for time domain electromagnetics,
C. Durochat, S. Lanteri, C. Scheid, Appl. Math. Comp. 224, 681-704 (2013) (online version)

Recent advances on a DGTD method for time-domain electromagnetism,
S. Descombes, C. Durochat, S. Lanteri, L. Moya, C. Scheid, J. Viquerat, Photonics and Nanostructures, Volume 11, issue 4, 291-302 (2013)  (online version)

Convergence of a Discontinuous Galerkin scheme for the mixed time domain Maxwell's equations in dispersive media,
S. Lanteri, C. Scheid, IMA Journal of Numerical Analysis (2013), 33 (2): 432-459. (online version)

Convergence of a constrained finite element discretization of the Maxwell Klein Gordon equation
S.H.Christiansen, C.Scheid, M2AN 45, no. 4 (2011). 739-760. (article)

Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields
P.Ciarlet Jr., C.Scheid, M2AN 44 (2010) 647-670.(preprint)

A proof of the invariance of the contact angle in electrowetting.
C.Scheid, P.Witomski, Mathematical and Computer Modelling 49 (2009), pp. 647-665.(online version)

Numerical modelling of electrowetting by a shape inverse approach,
J.Monnier, P.Witomski, P.Chow Wing Bom, C.Scheid, SIAM J.Appl.Math., Vol.69, No.5., 2009 (online version) (pdf)

Preprints

Submitted

The Multiscale Hybrid-Mixed Method for the Maxwell equation in heterogeneous media, S. Lanteri, D. Paredes, C. Scheid, F. Valentin, submitted 2016.

Multiple branches of travelling waves for the Gross Pitaevskii equation, D. Chiron, C. Scheid, submitted 2017.

Research reports


Etude de convergence a-priori d'une methode de Galerkin discontinue en maillage hybride et non conforme pour resoudre les equations de Maxwell instationnaires, C. Durochat and C. Scheid, INRIA Research Report, n. 7933 (2012), in french (online version)

High order non-conforming multi-element Discontinuous Galerkin method for time domain electromagnetics,
C. Durochat, S. Lanteri, C. Scheid, INRIA Research Report, n. 8257 (2013) (online version)

Proceedings


A-priori convergence analysis of a Discontinuous Galerkin Time-domain method to solve Maxwell's equations on hybrid meshes, C. Durochat and C. Scheid, Numerical Mathematics and Advanced Applications 2011, Proceedings of ENUMATH 2011, the 9th European Conference on Numerical Mathematics and Advanced Applications, Leicester, September 2011, 91-99 (2013).

PhD thesis

Title
Theoretical and numerical analysis in the vicinity of the triple point in Electrowetting

Key words : Electrowetting, Shape optimization, Singularities in open sets with corners, Singularities treatment, Variational calculus

Year
2007


Recent Communications


Numerical contributions in nanophotonics,
Women in PDE's @ Karlsruhe, KIT, Karlsruhe, Germany, April 27-28 2017.

Numerical modelling of light-matter interaction at the nanoscale,
BioComp seminar, Simula, Oslo, Norway, November 9th 2016.

A structure preserving numerical discretization framework for the Maxwell Klein Gordon equation in 2D,
Workshop Structure and scaling in computational field theories, Oslo, Norway, 26-28 October 2016.

A high order discretization framework for the numerical modelling in nanoplasmonics,
Colloque Couplages Numériques, LJAD, Nice, France, 27-29 September 2016.

A discontinuous Galerkin framework for the numerical modelling in nanoplasmonics
Workshop "Recent advances in discontinuous Galerkin methods", University of Reading, UK, 13th June 2016.

A discontinuous Galerkin framework for the numerical modelling of light-matter interaction at the nanoscale,
28th CEA-GAMNI Seminar on CFD, IHP, Paris, 25-26 January 2016. 

Numerical computation of travelling waves for the Nonlinear Schrödinger equation in dimension 2,
SciCADE 2015, 14-18 Septembre 2015, Potsdam, Germany.

Numerical study of dispersive models for nanophotonics,
Waves 2015, 20-24 Juillet 2015, Karlsruhe, Germany.

MHM methods for time dependent propagation of electromagnetics waves,
PANACM 2015, 27-29 Avril 2015, Buenos Aires, Argentina.

Etude numérique de modèles milieux dispersifs et application en nanophotonique,
Séminaire Analyse Numérique et EDP, Laboratoire de Mathématiques d'Orsay, 12 Mars 2015, Orsay, France.

Numerical study of dispersive media and application to nanophotonics,
KIT Seminar, 9 Février 2015, Karlsruhe, Germany.

Etude de modèles de milieux dispersifs et application en nanophotonique, in french,
Séminaire du laboratoire de Mathématiques de Reims, 21 Octobre 2014, Reims, France.

Multiplicity of the travelling waves in the Kadomtsev-Petviashvili-I and the Gross-Pitaevskii equations, 
Workshop on "Blow up and dispersion in Nonlinear PDEs", July 2014, Vienna, Austria.

Propagation des ondes Electromagnetiques en milieux dispersifs : approche numérique et application en nanophotonique, in french,
CEM 2014, 17ème Colloque International et Exposition sur la Compatibilité ÉlectroMagnétique, July 2014, Clermont-Ferrand, France

Numerical study of the travelling waves for the nonlinear Schrödinger equation in dimension 2,
Oberwolfach workshop: Nonlinear evolution equations: Analysis and Numerics, March 16-21, 2014, Oberwolfach, Germany.

Numerical study of a discontinuous Galerkin time domain method for the propagation of electromagnetic waves in dispersive media,
PIERS 2013, 11-15 August, Stockholm, Sweden.

Complete lists of communications


Students



PhD:

JonathanViquerat, Thèse 2012-10 December 2015 : Co-supervising with S. Lanteri.
Nikolai Schmitt, Since October 2015: Co-supervising with S. Lanteri.


Collaborators



David Chiron (University of Nice)
Snorre H. Christiansen (University of Oslo)
Patrick Ciarlet, Jr. (ENSTA-ParisTech, and Project-team POEMS, INRIA)
Antoine Moreau (Université Blaise Pascal, Clermont-Ferrand, France)
Patrick Witomski

NACHOS Team (INRIA) :
Stéphane Descombes (University of Nice)
Clément Durochat (Former PhD of NACHOS project-team, INRIA, now at  LMA, Marseille)
Stéphane Lanteri (Project-team NACHOS, INRIA )
Raphaël Léger (Project-team NACHOS, INRIA )
Jonathan Viquerat (Project-team NACHOS, INRIA )

Associated team HOMAR

Link

Les-mathematiques.net

varioptic