Guides d'ondes, phénomènes de propagation, scattering, photonique

[Gui6] Whispering Gallery Modes and Frequency Combs: Two excursions in the world of photonic resonators
      Paper #171

[Gui5] Asymptotics for 2D whispering gallery modes in optical micro-disks with radially varying index
      Paper #167

[Gui4] Mathematical analysis of whispering gallery modes in graded index optical micro-disk resonators
      Paper #165

[Gui3] Spectral analysis and singularities of a noncoercive transmission problem
      Paper #78

[Gui2] Study at high frequencies of a stratified waveguide
      Paper #88

[Gui1] Problèmes de transmission non coercifs dans des polygones
      Paper #65

Skin effect

[Ski3] On the influence of the geometry on skin effect in electromagnetism
      Paper #137

[Ski2] Comportement asymptotique à haute conductivité de l'épaisseur de peau en électromagnétisme
      Paper #132

[Ski1] Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism
      Paper #134

Maxwell Singularities

[Max19] Maxwell eigenmodes in tensor product domains
      Paper #163

[Max18] Regularity for Maxwell eigenproblems in photonic crystal fibre modelling
      Paper #150

[Max17] Corner asymptotics of the magnetic potential in the eddy-current model
      Paper #149

[Max16] Eddy currents and corner singularities
      Paper #142

[Max15] Exponential Convergence of hp-FEM for Maxwell's Equations with Weighted Regularization in Polygonal Domains
      Paper #109

[Max14] Algebraic convergence for anisotropic edge elements in polyhedral domains
      Paper #108

[Max13] Corner singularities of Maxwell interface and eddy current problems
      Paper #104

[Max12] Singularities of eddy current problems
      Paper #100

[Max11] Computation of resonance frequencies for Maxwell equations in non smooth domains
      Paper #99

[Max10] Weighted Regularization of Maxwell Equations -- Computations in Curvilinear Polygons
      Paper #96

[Max9] Weighted Regularization of Maxwell Equations in Polyhedral Domains
      Paper #92

[Max8] Numerical investigation of a boundary penalization method for Maxwell equations
      Paper #83

[Max7] Espaces fonctionnels Maxwell: Les gentils, les méchants et les singularités
      Paper #73

[Max6] Un résultat de densité pour les équations de Maxwell régularisées dans un domaine lipschitzien
      Paper #73

[Max5] Singularities of electromagnetic fields in polyhedral domains
      Paper #80

[Max4] Singularities of Maxwell interface problems
      Paper #75

[Max3] Maxwell and Lamé Eigenvalues on Polyhedra
      Paper #74

[Max2] Singularities of Maxwell's equations on polyhedral domains
      Paper #66

[Max1] Singularités des équations de Maxwell dans un polyèdre
      Paper #63
 

Elasticity: Thin Plates and Shells

[Th16] High frequency oscillations of first eigenmodes in axisymmetric shells as the thickness tends to zero
      Paper #159

[Th15] Free Vibrations of Axisymmetric Shells: Parabolic and Elliptic cases
      Paper #160

[Th14] Koiter Estimate Revisited
      Paper #131

[Th13] On the asymptotic behavior of the discrete spectrum in buckling problems for thin plates
      Paper #112

[Th12] Plates and shells: Asymptotic expansions and hierarchical models
      Paper #106

[Th11] Numerical approximation of the spectra of non-compact operators arising in buckling problems
      Paper #94

[Th10] hp-FEM for three-dimensional elastic plates
      Paper #93

[Th9] Eigen-Frequencies in Thin Elastic 3-D Domains and Reissner-Mindlin Plate Models
      Paper #91

[Th8] Linear Elastic Shell Theory

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

[Th7] Développements asymptotiques complets pour des coques faiblement courbées encastrées ou libres
      Paper #84

[Th6] Higher Order Responses of Three-Dimensional Elastic Plate-Like Structures and their Visualization
      Paper #90

[Th5] Eigenmode Asymptotics in Thin Elastic Plates
      Paper #79

[Th4] The Influence of Lateral Boundary Conditions on the Asymptotics in Thin Elastic Plates
      Paper #81

[Th3] Boundary Layer Realization in Thin Elastic 3-D Domains and 2-D Hierarchic Plate Models
      Paper #82

[Th2] Full Asymptotic Expansions for Thin Elastic Free Plates
      Paper #68

[Th1] Higher Order Bending and Membrane Answers of Thin Linearly Elastic Plates
      Paper #67
 

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, including singular perturbations

[Sin28] Estimates for Harmonic functions near pseudo-corners
      Paper #173

[Sin27] Dirichlet problem on perturbed conical domains via converging generalized power series
      Paper #172

[Sin26] Converging expansions for Lipschitz self-similar perforations of a plane sector
      Paper #161

[Sin25] Extracting generalized edge flux intensity functions by the quasidual function method along circular 3-D edges
      Paper #145

[Sin24] Weighted Analytic Regularity in Polyhedra
      Paper #147

[Sin23] Circular edge singularities for the Laplace equation and the elasticity system in 3-D domains
      Paper #138

[Sin22] Analytic Regularity for Linear Elliptic Systems in Polygons and Polyhedra
      Paper #140

[Sin21] Mellin analysis of weighted Sobolev spaces with nonhomogeneous norms on cones
      Paper #130

[Sin20] Sparse tensor product wavelet approximation of singular functions
      Paper #135

[Sin19] Self-similar perturbation near a corner: matching versus multiscale expansions for a model problem
      Paper #129

[Sin18] Edge stress intensity functions in 3-D anisotropic composites
      Paper #124

[Sin17] Matching and multiscale expansions for a model singular perturbation problem
      Paper #118

[Sin16] Edge Stress Intensity Functions in Polyhedral Domains and their Extraction by a Quasidual Function Method
      Paper #111

[Sin15] Asymptotics near crack tips in hereditarily-elastic anisotropic aging two dimensional body
      Paper #113

[Sin14] Asymptotic expansion of the solution of an interface problem in a polygonal domain with thin layer
      Paper #116

[Sin13] Edge Flux Intensity Functions in Polyhedral Domains and their Extraction by a Quasidual Function Method
      Paper #105

[Sin12] A quasidual function method for extracting edge stress intensity functions
      Paper #103

[Sin11] Anisotropic regularity results for Laplace and Maxwell operators in a polyhedron
      Paper #97

[Sin10] Edge-Corner interaction inside polyhedral singularities

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

[Sin9] Asymptotics without logarithmic terms for crack problems
      Paper #98

[Sin8] Crack singularities for general elliptic systems
      Paper #89

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

Web publication [Nov. 2000] Abstract — PDF file

[Sin6] Problems of Corner Singularities

Slides [July 1998, Stuttgart, Germany] Pdf file — Pdf file

[Sin5] Singularities of Corner Problems and Problems of Corner Singularities
      Paper #76

[Sin4] A fast semi-analytic method for the computation of elastic edge singularities
      Paper #87

[Sin3] A singularly perturbed mixed boundary value problem
      Paper #55

[Sin2] Stable asymptotics for elliptic systems on plane domains with corners
      Paper #48

[Sin1] Construction of corner singularities for Agmon-Douglis-Nirenberg elliptic systems
      Paper #46
 

Polynomial approximation, hp and p version, Spectral methods

Last modification: 24 July 2026