Publications (since 1997 + a few older)

My research publications are ordered in anti-chronological order according to three main topics:
•  Electromagnetism - mainly Maxwell equations in polyhedra (20 enties),
•  Thin domains
- mainly plates and shells (16 enties)
•  Singularities
and singular perturbations of elliptic boundary value problems (22 entries)

More recent topics:
•  Quantum mechanics - ground states for Schrödinger operators
•  LBB constant - inf-sup constant of the divergence, Schur complement of the Stokes system, Cosserat spectrum, Friedrichs constant...

Both theoretical and numerical aspects are addressed.

Direct access to
-  the most recent contributions is provided by the left button NEW.
-  the publications by themes is provided by the left button PAPERS.


LBB constant


[LBB5]
Continuity properties of the inf-sup constant for the divergence

With Christine BERNARDI, Martin COSTABEL, and Vivette GIRAULT
[Oct 2015]
Web pagepdf file

[LBB4]
The inf-sup constant for the divergence on corner domains

With Martin COSTABEL, Michel CROUZEIX, and Yvon LAFRANCHE
[Feb 2014]
Web pagepdf file

[LBB3]
On the inequalities of Babuška–Aziz, Friedrichs and Horgan–Payne

With Martin COSTABEL
[Mar 2013]
Web pagepdf file

[LBB2]
On Friedrichs constant and Horgan-Payne angle for LBB condition

With Christine BERNARDI, Martin COSTABEL, and Vivette GIRAULT
[Mar 2013]
Web pagepdf file

[LBB1]
On the inf-sup constant of the divergence alias LBB constant

With Martin COSTABEL
[Feb 2013]
Web pageExtended abstractSlides


Quantum mechanics

Schrödinger operator and quantum guides

[Qua10]
On the semiclassical Laplacian with magnetic field having self-intersecting zero set

With Jean-Philippe MIQUEU and Nicolas RAYMOND
[July 2018]
Abstractpdf file

[Qua9]
Dirichlet spectrum of the Fichera layer

With Yvon LAFRANCHE and Thomas OURMIERES-BONAFOS
[November 2017]
Abstractpdf file

[Qua8]
Magnetic Laplacian in sharp three dimensional cones

With Virginie BONNAILLIE-NOEL, Nicolas POPOFF and Nicolas RAYMOND
[May 2015]
Abstractpdf file

[Qua7]
Spectral asymptotics of the Dirichlet Laplacian in a conical layer

With Thomas OURMIERES-BONAFOS and Nicolas RAYMOND
[Nov 2014]
Abstractpdf file

[Qua6]
Ground state energy of the magnetic Laplacian on corner domains

With Virginie BONNAILLIE-NOEL and Nicolas POPOFF, [2014]
AbstractPdf file

[Qua5]
Plane waveguides with corners in the small angle limit

With Nicolas RAYMOND
[Jan 2012]
Abstractpdf file

[Qua4]
Quantum waveguides with corners

With Yvon LAFRANCHE and Nicolas RAYMOND
From a plenary lecture at SMAI'2011 [May 2011, Guidel, France]
Abstract pdf file

[Qua3]
Discrete spectrum of a model Schrôdinger operator on the half-plane with Neumann conditions

With Virginie BONNAILLIE-NOEL, Nicolas POPOFF and Nicolas RAYMOND [2010]
AbstractPdf file

[Qua2]
Computations of the first eigenpairs for the Schrödinger operator with magnetic field

With Virginie BONNAILLIE-NOEL, Daniel MARTIN and Grégory VIAL. [2005]
AbstractPdf file (3.7 Mo)

[Qua1]
Asymptotics for the low-lying eigenstates of the Schrödinger operator with magnetic field near corners

With Virginie BONNAILLIE-NOEL [2005]
AbstractPdf file


Electromagnetism

Skin effect

[Ski3]
On the influence of the geometry on skin effect in electromagnetism

With Gabriel CALOZ, Erwan FAOU and Victor PÉRON [2010]
AbstractPdf file

[Ski2]
Comportement asymptotique à haute conductivité de l'épaisseur de peau en électromagnétisme

With Erwan FAOU and Victor PÉRON [2009]
AbstractPdf file

[Ski1]
Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism

With Gabriel CALOZ and Victor PÉRON [2009]
AbstractPdf file

Maxwell Singularities

[Max19]
Regularity for Maxwell eigenproblems in photonic crystal fibre modelling

With Richard NORTON and Robert SCHEICHL. [2013]
AbstractPdf file

[Max18]
Corner asymptotics of the magnetic potential in the eddy-current model

With Patrick DULAR, Laurent KRÄHENBÜHL, Victor PÉRON, Ronan PERRUSSEL, Clair POIGNARD [2013]
AbstractPdf file

[Max17]
Eddy currents and corner singularities

With François BURET, Patrick DULAR, Laurent KRÄHENBÜHL, Victor PÉRON, Ronan PERRUSSEL, Clair POIGNARD, Damien VOYER [2011]
HAL

[Max16]
Maxwell eigenmodes in tensor product domains

With Martin COSTABEL [2006]
AbstractPdf file

[Max15]
Exponential Convergence of hp-FEM for Maxwell's Equations with Weighted Regularization in Polygonal Domains

With With Martin COSTABEL and Christoph SCHWAB [2004]
AbstractPdf file

[Max14]
Algebraic convergence for anisotropic edge elements in polyhedral domains

With Annalisa BUFFA and Martin COSTABEL [2003]
AbstractPdf file

[Max13]
Corner singularities of Maxwell interface and eddy current problems

With Martin COSTABEL and Serge NICAISE [2003]
AbstractPDF file

[Max12]
Singularities of eddy current problems

With Martin COSTABEL and Serge NICAISE [2003]
AbstractPDF file SLIDES, pdf file

[Max11]
Computation of resonance frequencies for Maxwell equations in non smooth domains

With Martin COSTABEL [Survey article, Dec. 2002]
Abstract PDF file SLIDES, pdf file

[Max10]
Weighted Regularization of Maxwell Equations -- Computations in Curvilinear Polygons

With Martin COSTABEL, Daniel MARTIN and Gregory VIAL [2001]
Abstract PDF file

[Max9]
Weighted Regularization of Maxwell Equations in Polyhedral Domains

With Martin COSTABEL [2001]
Abstract PDF file Postscript file

[Max8]
Numerical investigation of a boundary penalization method for Maxwell equations

With Martin COSTABEL and Daniel MARTIN [1999]
AbstractPDF filePostscript file

[Max7]
Espaces fonctionnels Maxwell: Les gentils, les méchants et les singularités

Web publication [Nov. 1998]
With Martin COSTABEL
AbstractPDF filePostscript file

[Max6]
Singularities of electromagnetic fields in polyhedral domains

With Martin COSTABEL [1998]
AbstractPDF filePostscript file

[Max5]
Un résultat de densité pour les équations de Maxwell régularisées dans un domaine lipschitzien

With Martin COSTABEL (août 1998)
AbstractPostscript fileFile ps.gz

[Max4]
Singularities of Maxwell interface problems

With Martin COSTABEL and Serge NICAISE [1998]
AbstractPostscript fileFile ps.gz

[Max3]
Maxwell and Lamé Eigenvalues on Polyhedra

With Martin COSTABEL [1998]
AbstractPDF filePostscript file

[Max2]
Singularities of electromagnetic fields in polyhedral domains

With Martin COSTABEL [1997]
AbstractPostscript fileFile ps.gz

[Max1]
Singularités des équations de Maxwell dans un polyèdre

With Martin COSTABEL [1997]
AbstractPostscript fileFile ps.gz

Guides d'ondes et phénomènes de propagation

[Gui3]
Spectral analysis and singularities of a noncoercive transmission problem

With Anne-Sophie BONNET-BENDHIA (ENSTA) and Karim RAMDANI (ENSTA) [1999]
AbstractPdf file

[Gui2]
Study at high frequencies of a stratified waveguide

With Anne-Sophie BONNET-BENDHIA (ENSTA), Gabriel CALOZ and Fabrice MAHÉ [1998]
AbstractPostscript fileFile ps.gz

[Gui1]
Problèmes de transmission non coercifs dans des polygones

With Benjamin TEXIER (ENS Lyon) [1997]
Pdf file
 


Elasticity:

Thin Plates and Shells

[Th19]
High frequency oscillations of first eigenmodes in axisymmetric shells as the thickness tends to zero

With Marie CHAUSSADE-BEAUDOUIN, Erwan FAOU (Rennes) and Zohar YOSIBASH (Beer Sheva, Israel) [2016]
AbstractPdf file

[Th18]
Free Vibrations of Axisymmetric Shells: Parabolic and Elliptic cases

With Marie CHAUSSADE-BEAUDOUIN, Erwan FAOU (Rennes) and Zohar YOSIBASH (Beer Sheva, Israel) [2016]
AbstractPdf file

[Th17]
Koiter Estimate Revisited

With Erwan FAOU (Rennes) [2008]
AbstractPdf file

[Th16]
On the asymptotic behavior of the discrete spectrum in buckling problems for thin plates

With Manil SURI (Baltimore, MD, USA) [2004]
AbstractPdf file

[Th15]
Plates and shells: Asymptotic expansions and hierarchical models

With Erwan FAOU (Rennes) and Zohar YOSIBASH (Beer Sheva, Israel) [2004]
Abstract Pdf file

[Th14]
Numerical approximation of the spectra of non-compact operators arising in buckling problems

With Manil SURI (Baltimore, MD, USA) [2001]
Abstract Pdf file

[Th13]
hp-FEM for three-dimensional elastic plates

With Christoph SCHWAB (Zürich, Switzerland) [2001]
Abstract Pdf file

[Th12]
Eigen-Frequencies in Thin Elastic 3-D Domains and Reissner-Mindlin Plate Models

With Zohar YOSIBASH (Beer Sheva, Israel) [2001]
Abstract Pdf file

[Th11]
Linear Elastic Shell Theory

Color Slides [April 2000, MSRI, Berkeley, CA, USA]
Pdf file

[Th10]
On the Cosserat spectrum in polygons

With Martin COSTABEL    Slides [January 2000, EPFL, Lausanne, Switzerland]
AbstractPdf file

[Th9]
Développements asymptotiques complets pour des coques faiblement courbées encastrées ou libres

With Georgiana ANDREOIU and Erwan FAOU (Rennes) [2000]
Pdf file

[Th8]
Higher Order Responses of Three-Dimensional Elastic Plate-Like Structures and their Visualization

With Andreas ROESSLE (Stuttgart, Allemagne) and Zohar YOSIBASH (Beer Sheva, Israel) [1999]
AbstractPostscript filePdf file

[Th7]
Eigenmode Asymptotics in Thin Elastic Plates

With Erwan FAOU, Ivica DJURDJEVIC and Andreas ROESSLE (Stuttgart, Allemagne) [1999]
AbstractPdf file

[Th6]
The Influence of Lateral Boundary Conditions on the Asymptotics in Thin Elastic Plates

With Isabelle GRUAIS and Andreas ROESSLE (Stuttgart, Allemagne) [1998]
AbstractPdf file

[Th5]
Boundary Layer Realization in Thin Elastic 3-D Domains and 2-D Hierarchic Plate Models

With Zohar YOSIBASH (Beer Sheva, Israel) [1998]
AbstractPdf file

[Th4]
Full Asymptotic Expansions for Thin Elastic Free Plates

With Ivica DJURDJEVIC and Andreas ROESSLE (Stuttgart, Allemagne) [1998]
AbstractPdf file

[Th3]
Higher Order Bending and Membrane Answers of Thin Linearly Elastic Plates

With Ivica DJURDJEVIC and Andreas ROESSLE (Stuttgart, Allemagne) [1998]
AbstractPdf file

[Th2]
The Influence of Lateral Boundary Conditions on the Asymptotics in Thin Elastic Plates II: Frictional, Sliding Edge and Free Plates

With Isabelle GRUAIS and Andreas ROESSLE (Stuttgart, Allemagne) [1997]
AbstractPdf file

[Th1]
The Influence of Lateral Boundary Conditions on the Asymptotics in Thin Elastic Plates I: Clamped and Simply Supported Plates

With Isabelle GRUAIS and Andreas ROESSLE (Stuttgart, Allemagne) [1997]
AbstractPdf file
 


Edge and Corners

GLC

[GLC1]
Corner Singularities and Analytic Regularity for Linear Elliptic Systems. Part I: Smooth domains

With Martin COSTABEL and Serge NICAISE [2010]
AbstractPDF file

Structure of singularities

[Sin26]
Converging expansions for Lipschitz self-similar perforations of a plane sector

With Martin COSTABEL, Matteo DALLA RIVA, Paolo MUSOLINO [2017]
AbstractPdf file

[Sin25]
Extracting generalized edge flux intensity functions by the quasidual function method along circular 3-D edges

With Samuel SHANNON, Zohar YOSIBASH, and Martin COSTABEL, [2012]
AbstractPdf file

[Sin24]
Weighted Analytic Regularity in Polyhedra

With Martin COSTABEL and Serge NICAISE [2012]
AbstractPDF file

[Sin23]
Circular edge singularities for the Laplace equation and the elasticity system in 3-D domains

With Zohar YOSIBASH, Samuel SHANNON and Martin COSTABEL, [2010]
AbstractPdf file

[Sin22]
Analytic Regularity for Linear Elliptic Systems in Polygons and Polyhedra

With Martin COSTABEL and Serge NICAISE [2010]
AbstractPDF file

[Sin21]
Mellin analysis of weighted Sobolev spaces with nonhomogeneous norms on cones

With Martin COSTABEL and Serge NICAISE [2009]
AbstractPDF file

[Sin20]
Sparse tensor product wavelet approximation of singular functions

With Rob STEVENSON [2009]
AbstractPDF file

[Sin19]
Self-similar perturbation near a corner: matching versus multiscale expansions for a model problem

With Sébastien TORDEUX and Grégory VIAL [2009]
AbstractPdf file

[Sin18]
Edge stress intensity functions in 3-D anisotropic composites

With Zohar YOSIBASH and Netta OMER [2007]
AbstractPdf file

[Sin17]
Matching and multiscale expansions for a model singular perturbation problem

With Sébastien TORDEUX and Grégory VIAL [2006]
AbstractPdf file

[Sin16]
Edge Stress Intensity Functions in Polyhedral Domains and their Extraction by a Quasidual Function Method

With Zohar YOSIBASH, Netta OMER and Martin COSTABEL [2005]
AbstractPdf file

[Sin15]
Asymptotics near crack tips in hereditarily-elastic anisotropic aging two dimensional body

With Martin COSTABEL, Sergei A. NAZAROV, Jan SOKOLOWSKI [2004]
Abstract Pdf file

[Sin14]
Asymptotic expansion of the solution of an interface problem in a polygonal domain with thin layer

With Gabriel CALOZ, Martin COSTABEL and Grégory VIAL [2004]
Abstract Pdf file

[Sin13]
Edge Flux Intensity Functions in Polyhedral Domains and their Extraction by a Quasidual Function Method

With Martin COSTABEL, Netta OMER and Zohar YOSIBASH [2004]
AbstractPdf file

[Sin12]
A quasidual function method for extracting edge stress intensity functions

With Martin COSTABEL and Zohar YOSIBASH [2003]
AbstractPdf file

[Sin11]
Anisotropic regularity results for Laplace and Maxwell operators in a polyhedron

With Annalisa BUFFA and Martin COSTABEL [2003]
AbstractPdf file

[Sin10]
Edge-Corner interaction inside polyhedral singularities

Slides (Baltimore, Delaware, Oberwolfach) [2002]
AbstractPdf file

[Sin9]
Asymptotics without logarithmic terms for crack problems

With Martin COSTABEL and Roland DUDUCHAVA [2001]
AbstractPdf file

[Sin8]
Crack singularities for general elliptic systems

With Martin COSTABEL [1999]
AbstractPdf file

[Sin7]
Corner - Edge Asymptotics in Polyhedral Domains "for dummies"

Web publication [Nov. 2000]
Abstract PDF file

[Sin6]
Problems of Corner Singularities

Color Slides [July 1998, Stuttgart, Germany]
Pdf filePdf file

[Sin5]
Singularities of Corner Problems and Problems of Corner Singularities

Survey paper from a plenary lecture at CANUM'98 [May 1998, Arles, France]
AbstractLink to journalpdf file

[Sin4]
A fast semi-analytic method for the computation of elastic edge singularities

With Martin COSTABEL and Yvon LAFRANCHE [1998]
AbstractPdf file

[Sin3]
A singularly perturbed mixed boundary value problem

With Martin COSTABEL [1996]
AbstractPdf file

[Sin2]
Stable asymptotics for elliptic systems on plane domains with corners

With Martin COSTABEL [1994]
AbstractPdf file

[Sin1]
Construction of corner singularities for Agmon-Douglis-Nirenberg elliptic systems

With Martin COSTABEL [1993]
AbstractPdf file
 


Polynomial approximation, hp and p version, Spectral methods

See also [Max15]

[Spe8]
Theoretical and numerical investigation of the finite cell method

With Alexander DÜSTER and Ernst RANK [2014]
AbstractPdf file

[Spe7]
Discrete compactness for the p-version of discrete differential forms

With Daniele BOFFI, Martin COSTABEL, Leszek DEMKOWICZ and Ralf HIPTMAIR [2009]
AbstractPdf file

[Spe6]
The lifting of polynomial traces revisited

With Christine BERNARDI and Yvon MADAY [2008]
AbstractPdf file

[Spe5]
Polynomial extension operators for H1, Hcurl and Hdiv - spaces on a cube

With Martin COSTABEL and Leszek DEMKOWICZ [2007]
AbstractPdf file

[Spe4]
Polynomials in the Sobolev World

With Christine BERNARDI and Yvon MADAY [2007]
AbstractPdf file

[Spe3]
Discrete Compactness for the hp version of Rectangular Edge Finite Elements

With Daniele BOFFI, Martin COSTABEL and Leszek DEMKOWICZ [2004]
AbstractPdf file

[Spe2]
Compatibility of traces on the edges and corners of a polyhedron

With Christine BERNARDI and Yvon MADAY [2000]
AbstractPdf file

[Spe1]
Spectral Methods for Axisymmetric Domains

With Christine BERNARDI and Yvon MADAY [1999]
Abstract

Last modification: 8 March 2016