Skin effect

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

With Gabriel CALOZ, Erwan FAOU and Victor PÉRON [2010] Abstract — Pdf file

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

With Erwan FAOU and Victor PÉRON [2009] Abstract — Pdf file

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

With Gabriel CALOZ and Victor PÉRON [2009] Abstract — Pdf file

Maxwell Singularities

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

With Richard NORTON and Robert SCHEICHL. [2013] Abstract — Pdf 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] Abstract — Pdf 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] Abstract — Pdf 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] Abstract — Pdf file

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

With Annalisa BUFFA and Martin COSTABEL [2003] Abstract — Pdf file

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

With Martin COSTABEL and Serge NICAISE [2003] Abstract — PDF file

[Max12] Singularities of eddy current problems

With Martin COSTABEL and Serge NICAISE [2003] Abstract — PDF 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] Abstract — PDF file — Postscript file

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

Web publication [Nov. 1998] With Martin COSTABEL Abstract — PDF file — Postscript file

[Max6] Singularities of electromagnetic fields in polyhedral domains

With Martin COSTABEL [1998] Abstract — PDF file — Postscript file

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

With Martin COSTABEL (août 1998) Abstract — Postscript file — File ps.gz

[Max4] Singularities of Maxwell interface problems

With Martin COSTABEL and Serge NICAISE [1998] Abstract — Postscript file — File ps.gz

[Max3] Maxwell and Lamé Eigenvalues on Polyhedra

With Martin COSTABEL [1998] Abstract — PDF file — Postscript file

[Max2] Singularities of electromagnetic fields in polyhedral domains

With Martin COSTABEL [1997] Abstract — Postscript file — File ps.gz

[Max1] Singularités des équations de Maxwell dans un polyèdre

With Martin COSTABEL [1997] Abstract — Postscript file — File ps.gz

Guides d'ondes, phénomènes de propagation, scattering

[Gui4] Asymptotics for 2D whispering gallery modes in optical micro-disks with radially varying index

With Stéphane BALAC and Zoïs MOITIER [2020] Abstract — Pdf file

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

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

[Gui2] Study at high frequencies of a stratified waveguide

With Anne-Sophie BONNET-BENDHIA (ENSTA), Gabriel CALOZ and Fabrice MAHÉ [1998] Abstract — Postscript file — File 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] Abstract — Pdf 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] Abstract — Pdf file

[Th17] Koiter Estimate Revisited

With Erwan FAOU (Rennes) [2008] Abstract — Pdf file

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

With Manil SURI (Baltimore, MD, USA) [2004] Abstract — Pdf 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] Abstract — Pdf 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] Abstract — Postscript file — Pdf file

[Th7] Eigenmode Asymptotics in Thin Elastic Plates

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

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

With Isabelle GRUAIS and Andreas ROESSLE (Stuttgart, Allemagne) [1998] Abstract — Pdf file

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

With Zohar YOSIBASH (Beer Sheva, Israel) [1998] Abstract — Pdf file

[Th4] Full Asymptotic Expansions for Thin Elastic Free Plates

With Ivica DJURDJEVIC and Andreas ROESSLE (Stuttgart, Allemagne) [1998] Abstract — Pdf file

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

With Ivica DJURDJEVIC and Andreas ROESSLE (Stuttgart, Allemagne) [1998] Abstract — Pdf 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] Abstract — Pdf 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] Abstract — Pdf 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] Abstract — PDF 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] Abstract — Pdf 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] Abstract — Pdf file

[Sin24] Weighted Analytic Regularity in Polyhedra

With Martin COSTABEL and Serge NICAISE [2012] Abstract — PDF 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] Abstract — Pdf file

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

With Martin COSTABEL and Serge NICAISE [2010] Abstract — PDF file

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

With Martin COSTABEL and Serge NICAISE [2009] Abstract — PDF file

[Sin20] Sparse tensor product wavelet approximation of singular functions

With Rob STEVENSON [2009] Abstract — PDF file

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

With Sébastien TORDEUX and Grégory VIAL [2009] Abstract — Pdf file

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

With Zohar YOSIBASH and Netta OMER [2007] Abstract — Pdf file

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

With Sébastien TORDEUX and Grégory VIAL [2006] Abstract — Pdf 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] Abstract — Pdf 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] Abstract — Pdf file

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

With Martin COSTABEL and Zohar YOSIBASH [2003] Abstract — Pdf file

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

With Annalisa BUFFA and Martin COSTABEL [2003] Abstract — Pdf file

[Sin10] Edge-Corner interaction inside polyhedral singularities

Slides (Baltimore, Delaware, Oberwolfach) [2002] Abstract — Pdf file

[Sin9] Asymptotics without logarithmic terms for crack problems

With Martin COSTABEL and Roland DUDUCHAVA [2001] Abstract — Pdf file

[Sin8] Crack singularities for general elliptic systems

With Martin COSTABEL [1999] Abstract — Pdf 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 file — Pdf file

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

Survey paper from a plenary lecture at CANUM'98 [May 1998, Arles, France] Abstract — Link to journal — pdf file

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

With Martin COSTABEL and Yvon LAFRANCHE [1998] Abstract — Pdf file

[Sin3] A singularly perturbed mixed boundary value problem

With Martin COSTABEL [1996] Abstract — Pdf file

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

With Martin COSTABEL [1994] Abstract — Pdf file

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

With Martin COSTABEL [1993] Abstract — Pdf file

 

Polynomial approximation, hp and p version, Spectral methods

Last modification: 8 March 2016