Skin effect

[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

[Max16] Maxwell eigenmodes in tensor product domains

With Martin COSTABEL [2006] Abstract --- Pdf file (176 k)

[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 (380 k)

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

With Annalisa BUFFA and Martin COSTABEL [2003] Abstract --- Pdf file (92 k)

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

With Martin COSTABEL and Serge NICAISE [2003] Abstract --- PDF file (188 k)

[Max12] Singularities of eddy current problems

With Martin COSTABEL and Serge NICAISE [2003] Abstract --- PDF file (220 k) --- SLIDES, pdf file (116 k)

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

With Martin COSTABEL [Survey article, Dec. 2002] Abstract --- PDF file ( k) --- SLIDES, pdf file (168 k)

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

With Martin COSTABEL, Daniel MARTIN and Gregory VIAL [2001] Abstract --- PDF file (132 k)

[Max9] Weighted Regularization of Maxwell Equations in Polyhedral Domains

With Martin COSTABEL [2001] Abstract --- PDF file (268 k) --- Postscript file (440 k)

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

With Martin COSTABEL and Daniel MARTIN [1999] Abstract --- PDF file (152 k) --- Postscript file (202 k)

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

Web publication [Nov. 1998] With Martin COSTABEL Abstract --- PDF file (72 k) --- Postscript file (92 k)

[Max6] Singularities of electromagnetic fields in polyhedral domains

With Martin COSTABEL [1998] Abstract --- PDF file (656 k) --- Postscript file (390 k)

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

With Martin COSTABEL (août 1998) Abstract --- Postscript file (119 k) --- File ps.gz (48 k)

[Max4] Singularities of Maxwell interface problems

With Martin COSTABEL and Serge NICAISE [1998] Abstract --- Postscript file (288 k) --- File ps.gz (108 k)

[Max3] Maxwell and Lamé Eigenvalues on Polyhedra

With Martin COSTABEL [1998] Abstract --- PDF file (236 k) --- Postscript file (269 k)

[Max2] Singularities of electromagnetic fields in polyhedral domains

With Martin COSTABEL [1997] Abstract --- Postscript file (390 k) --- File ps.gz (140 k)

[Max1] Singularités des équations de Maxwell dans un polyèdre

With Martin COSTABEL [1997] Abstract --- Postscript file (119 k) --- File ps.gz (48 k)

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] Abstract --- Pdf file (104 k)

[Gui2] Study at high frequencies of a stratified waveguide

With Anne-Sophie BONNET-BENDHIA (ENSTA), Gabriel CALOZ and Fabrice MAHÉ [1998] Abstract --- Postscript file (1027 k) --- File ps.gz (234 k)

[Gui1] Problèmes de transmission non coercifs dans des polygones

With Benjamin TEXIER (ENS Lyon) [1997] Pdf file (140 k)

 

Elasticity:

Thin Plates and Shells

[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 (208 k)

[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

Structure of singularities

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

With Martin COSTABEL and Serge NICAISE [2009] Abstract --- PDF file (360 k)

[Sin20] Sparse tensor product wavelet approximation of singular functions

With Rob STEVENSON [2009] Abstract --- PDF file (367 k)

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

With Sébastien TORDEUX (Toulouse) and Grégory VIAL [2009] Abstract --- Pdf file

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

With Zohar YOSIBASH and Netta OMER (Beer Sheva, Israel) [2007] Abstract --- Pdf file

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

With Sébastien TORDEUX (Toulouse) 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 (Beer Sheva, Israel) 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 (Beer Sheva, Israel) [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

[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

See also [Max15]

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

With Daniele BOFFI, Martin COSTABEL, Leszek DEMKOWICZ and Ralf HIPTMAIR [2009] Abstract --- Pdf file

[Spe6] The lifting of polynomial traces revisited

With Christine BERNARDI and Yvon MADAY [2008] Abstract --- Pdf file

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

With Martin COSTABEL and Leszek DEMKOWICZ [2007] Abstract --- Pdf file

[Spe4] Polynomials in the Sobolev World

With Christine BERNARDI and Yvon MADAY [2007] Abstract --- Pdf file

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

With Daniele BOFFI, Martin COSTABEL and Leszek DEMKOWICZ [2004] Abstract --- Pdf file (380 k)

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

With Christine BERNARDI and Yvon MADAY [2000] Abstract --- Pdf file

[Spe1] Spectral Methods for Axisymmetric Domains

With Christine BERNARDI and Yvon MADAY [1999] Abstract

Last modification: 8 July 2009