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Dauge, Monique

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Author ID: dauge.monique Recent zbMATH articles by "Dauge, Monique"
Published as: Dauge, Monique; Dauge, M.
External Links: MGP
Documents Indexed: 135 Publications since 1980, including 5 Books
all top 5

Serials

15 Comptes Rendus de l’Académie des Sciences. Série I
7 Mathematical Methods in the Applied Sciences
7 Communications in Partial Differential Equations
6 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
5 Computer Methods in Applied Mechanics and Engineering
5 SIAM Journal on Mathematical Analysis
4 Integral Equations and Operator Theory
4 Asymptotic Analysis
4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
3 Journal of Differential Equations
3 SIAM Journal on Numerical Analysis
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 International Journal of Fracture
2 Archive for Rational Mechanics and Analysis
2 Journal of Mathematical Analysis and Applications
2 Mathematics of Computation
2 Mathematische Nachrichten
2 Numerische Mathematik
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Computers & Mathematics with Applications
1 IMA Journal of Applied Mathematics
1 International Journal of Solids and Structures
1 Journal of Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 BIT
1 Canadian Journal of Mathematics
1 International Journal for Numerical Methods in Engineering
1 Numerical Functional Analysis and Optimization
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Numerical Methods for Partial Differential Equations
1 Journal of Scientific Computing
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Annales Henri Poincaré
1 Journal of Numerical Mathematics
1 Communications on Pure and Applied Analysis
1 Oberwolfach Reports
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Lecture Notes in Mathematics
1 Lecture Notes in Pure and Applied Mathematics
1 Journal of Spectral Theory

Publications by Year

Citations contained in zbMATH Open

119 Publications have been cited 2,473 times in 1,670 Documents Cited by Year
Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions. Zbl 0668.35001
Dauge, Monique
436
1988
Vector potentials in three-dimensional non-smooth domains. Zbl 0914.35094
Amrouche, C.; Bernardi, C.; Dauge, M.; Girault, V.
339
1998
Stationary Stokes and Navier-Stokes systems on two- or three-dimensional domains with corners. I: Linearized equations. Zbl 0681.35071
Dauge, Monique
123
1989
Singularities of electromagnetic fields in polyhedral domains. Zbl 0968.35113
Costabel, Martin; Dauge, Monique
120
2000
Singularities of Maxwell interface problems. Zbl 0937.78003
Costabel, Martin; Dauge, Monique; Nicaise, Serge
113
1999
Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements. Zbl 1019.78009
Costabel, Martin; Dauge, Monique
99
2002
Neumann and mixed problems on curvilinear polyhedra. Zbl 0767.46026
Dauge, Monique
78
1992
Eigenvalues variation. I: Neumann problem for Sturm–Liouville operators. Zbl 0784.34021
Dauge, Monique; Helffer, Bernard
48
1993
Maxwell and Lamé eigenvalues on polyhedra. Zbl 0918.35096
Costabel, Martin; Dauge, Monique
42
1999
Spectral methods for axisymmetric domains. Numerical algorithms and tests due to Mejdi Azaïez. Zbl 0929.35001
Bernardi, Christine; Dauge, Monique; Maday, Yvon
42
1999
Analytic regularity for linear elliptic systems in polygons and polyhedra. Zbl 1257.35056
Costabel, Martin; Dauge, Monique; Nicaise, Serge
38
2012
Coefficients of the singularities for elliptic boundary value problems on domains with conical points. III: Finite element methods on polygonal domains. Zbl 0794.35015
Bourlard, Maryse; Dauge, Monique; Lubuma, Mbaro-Saman; Nicaise, Serge
36
1992
Exponential convergence of \(hp\)-FEM for Maxwell equations with weighted regularization in polygonal domains. Zbl 1078.65089
Costabel, Martin; Dauge, Monique; Schwab, Christoph
34
2005
Singularities of eddy current problems. Zbl 1170.35353
Costabel, Martin; Dauge, Monique; Nicaise, Serge
32
2003
Asymptotic expansion of the solution of an interface problem in a polygonal domain with thin layer. Zbl 1136.35021
Caloz, Gabriel; Costabel, Martin; Dauge, Monique; Vial, Grégory
29
2006
Asymptotics without logarithmic terms for crack problems. Zbl 1103.35321
Costabel, Martin; Dauge, Monique; Duduchava, Roland
28
2003
Asymptotics for the low-lying eigenstates of the Schrödinger operator with magnetic field near corners. Zbl 1134.81021
Bonnaillie-Noël, Virginie; Dauge, Monique
27
2006
Construction of corner singularities for Agmon-Douglis-Nirenberg elliptic systems. Zbl 0802.35032
Costabel, Martin; Dauge, Monique
25
1993
Computation of resonance frequencies for Maxwell equations in non-smooth domains. Zbl 1116.78002
Costabel, Martin; Dauge, Monique
25
2003
Invertibility of the biharmonic single layer potential operator. Zbl 0840.47039
Costabel, Martin; Dauge, Monique
23
1996
Crack singularities for general elliptic systems. Zbl 1094.35038
Costabel, Martin; Dauge, Monique
22
2002
The influence of lateral boundary conditions on the asymptotics in thin elastic plates. Zbl 0958.74034
Dauge, Monique; Gruais, Isabelle; Rössle, Andreas
21
2000
Theoretical and numerical investigation of the finite cell method. Zbl 1331.65160
Dauge, Monique; Düster, Alexander; Rank, Ernst
20
2015
A singularly perturbed mixed boundary value problem. Zbl 0879.35017
Costabel, Martin; Dauge, Monique
20
1996
On the inequalities of Babuška-Aziz, Friedrichs and Horgan-Payne. Zbl 1329.35019
Costabel, Martin; Dauge, Monique
20
2015
A density result for the regularized Maxwell equations in a Lipschitz domain. (Un résultat de densité pour les équations de Maxwell régularisées dans un domaine lipschitzien.) Zbl 0921.35169
Costabel, Martin; Dauge, Monique
19
1998
Algebraic convergence for anisotropic edge elements in polyhedral domains. Zbl 1116.78020
Buffa, A.; Costabel, M.; Dauge, M.
17
2005
Plane waveguides with corners in the small angle limit. Zbl 1278.81098
Dauge, Monique; Raymond, Nicolas
16
2012
A quasi-dual function method for extracting edge stress intensity functions. Zbl 1141.35363
Costabel, Martin; Dauge, Monique; Yosibash, Zohar
16
2004
Spectral analysis and singularities of a non-coercive transmission problem. (Analyse specrale et singularités d’un problème de transmission non coercif.) Zbl 0932.35153
Bonnet-Bendhia, Anne-Sophie; Dauge, Monique; Ramdani, Karim
16
1999
General edge asymptotics of solutions of second-order elliptic boundary value problems. I. Zbl 0791.35032
Costabel, Martin; Dauge, Monique
16
1993
Discrete compactness for the \(hp\) version of rectangular edge finite elements. Zbl 1122.65110
Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek
15
2006
Fast semi-analytic computation of elastic edge singularities. Zbl 1013.74078
Costabel, Martin; Dauge, Monique; Lafranche, Yvon
15
2001
Sparse tensor product wavelet approximation of singular functions. Zbl 1218.65127
Dauge, Monique; Stevenson, Rob
14
2010
Selfsimilar perturbation near a corner: matching versus multiscale expansions for a model problem. Zbl 1190.35069
Dauge, Monique; Tordeux, Sébastien; Vial, Grégory
14
2010
Asymptotics of arbitrary order for a thin elastic clamped plate. I: Optimal error estimates. Zbl 0856.73029
Dauge, Monique; Gruais, Isabelle
14
1996
Discrete spectrum of a model Schrödinger operator on the half-plane with Neumann conditions. Zbl 1238.35070
Bonnaillie-Noël, Virginie; Dauge, Monique; Popoff, Nicolas; Raymond, Nicolas
13
2012
General edge asymptotics of solutions of second-order elliptic boundary value problems. II. Zbl 0791.35033
Costabel, Martin; Dauge, Monique
13
1993
Anisotropic regularity results for Laplace and Maxwell operators in a polyhedron. Zbl 1113.78300
Buffa, Annalisa; Costabel, Martin; Dauge, Monique
13
2003
Computations of the first eigenpairs for the Schrödinger operator with magnetic field. Zbl 1173.81300
Bonnaillie-Noël, V.; Dauge, M.; Martin, D.; Vial, G.
12
2007
Boundary layer realization in thin elastic three-dimensional domains and two-dimensional hierarchic plate models. Zbl 0973.74043
Dauge, M.; Yosibash, Z.
12
2000
Edge flux intensity functions in polyhedral domains and their extraction by a quasidual function method. Zbl 1187.74080
Omer, Netta; Yosibash, Zohar; Costabel, Martin; Dauge, Monique
11
2004
Computation of corner singularities in linear elasticity. Zbl 0822.35040
Costabel, Martin; Dauge, Monique
11
1995
Stable asymptotics for elliptic systems on plane domains with corners. Zbl 0814.35024
Costabel, Martin; Dauge, Monique
11
1994
Oblique derivative and interface problems on polygonal domains and networks. Zbl 0727.35037
Dauge, Monique; Nicaise, Serge
11
1989
Regularité Gevrey pour le problème de Dirichlet dans des domaines à singularités coniques. Zbl 0573.35024
Bolley, Pierre; Dauge, Monique; Camus, Jacques
10
1985
Polynomial extension operators for \(H^1\), \(H(\mathrm{curl})\) and \(H(\mathrm{div})\)-spaces on a cube. Zbl 1198.65235
Costabel, M.; Dauge, M.; Demkowicz, L.
10
2008
On representation formulas and radiation conditions. Zbl 0876.35021
Costabel, Martin; Dauge, Monique
10
1997
Eigenvalues variation. II: Multidimensional problems. Zbl 0807.34033
Dauge, Monique; Helffer, Bernard
10
1993
Error estimates on the coefficients obtained by the singular function method. Zbl 0705.65079
Bourlard, Maryse; Dauge, Monique; Nicaise, Serge
10
1989
Problèmes mixtes pour le laplacien dans des domaines polyédraux courbes. (Mixed problems for the Laplace operator on polyhedral curvilinear domains). Zbl 0715.35022
Dauge, Monique
10
1989
Spectral asymptotics of the Dirichlet Laplacian in a conical layer. Zbl 1422.35015
Dauge, Monique; Ourmières-Bonafos, Thomas; Raymond, Nicolas
10
2015
Weighted analytic regularity in polyhedra. Zbl 1352.35024
Costabel, Martin; Dauge, Monique; Nicaise, Serge
10
2014
Matching and multiscale expansions for a model singular perturbation problem. Zbl 1109.35013
Tordeux, Sébastien; Vial, Grégory; Dauge, Monique
9
2006
Singularities of Maxwell’s equations on polyhedral domains. Zbl 0904.35089
Costabel, M.; Dauge, M.
9
1998
A density result for Maxwell’s equations. (Un résultat de densité pour les équations de Maxwell.) Zbl 0880.35115
Ben Belgacem, Faker; Bernardi, Christine; Costabel, Martin; Dauge, Monique
9
1997
Numerical approximation of the spectra of non-compact operators arising in buckling problems. Zbl 1099.74545
Dauge, M.; Suri, M.
9
2002
The inf-sup constant for the divergence on corner domains. Zbl 1309.65131
Costabel, Martin; Crouzeix, Michel; Dauge, Monique; Lafranche, Yvon
9
2015
Continuity properties of the inf-sup constant for the divergence. Zbl 1339.35230
Bernardi, Christine; Costabel, Martin; Dauge, Monique; Girault, Vivette
9
2016
Quantum waveguides with corners. Zbl 1357.81100
Dauge, Monique; Lafranche, Yvon; Raymond, Nicolas
8
2012
Edge stress intensity functions in polyhedral domains and their extraction by a quasidual function method. Zbl 1197.74043
Yosibash, Zohar; Omer, Netta; Costabel, Martin; Dauge, Monique
8
2005
On the influence of the geometry on skin effect in electromagnetism. Zbl 1225.78003
Caloz, Gabriel; Dauge, Monique; Faou, Erwan; Péron, Victor
8
2011
Trace liftings which preserve polynomials. (Relèvements de traces préservant les polynômes.) Zbl 0755.65103
Bernardi, Christine; Dauge, Monique; Maday, Yvon
8
1992
Eigenmode asymptotics in thin elastic plates. Zbl 0966.74027
Dauge, M.; Djurdjevic, I.; Faou, E.; Rössle, A.
8
1999
Problèmes de Neumann et de Dirichlet sur un polyèdre dans \(R^ 3:\) régularité dans des espaces de Sobolev \(L_ p\). (Neumann and Dirichlet problems on a three dimensional polyhedron: Regularity in the \(L_ p\) Sobolev spaces). Zbl 0647.46035
Dauge, Monique
8
1988
Coefficients des singularités pour des problèmes aux limites elliptiques sur un domaine à points coniques. I: Résultats généraux pour le problème de Dirichlet. (Singularity coefficients for boundary value problems in domains with conical points. I: General results for the Dirichlet problem). Zbl 0691.35023
Dauge, Monique; Nicaise, Serge; Bourlard, Maryse; Lubuma, Jean Mbaro-Saman
8
1990
Coefficients des singularités pour des problèmes aux limites elliptiques sur un domaine à points coniques. II: Quelques opérateurs particuliers. (Singularity coefficients for boundary values in domains with conical points. II: Some particular operators). Zbl 0723.35035
Dauge, M.; Nicaise, S.; Bourlard, M.; Lubuma, J. Mbaro-Saman
8
1990
Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism. Zbl 1194.35452
Caloz, Gabriel; Dauge, Monique; Péron, Victor
7
2010
Mellin analysis of weighted Sobolev spaces with nonhomogeneous norms on cones. Zbl 1196.46024
Costabel, Martin; Dauge, Monique; Nicaise, Serge
7
2010
Discrete compactness for the \(p\)-version of discrete differential forms. Zbl 1230.78025
Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek; Hiptmair, Ralf
6
2011
Interpolation of nullspaces for polynomial approximation of divergence- free functions in a cube. Zbl 0830.46015
Bernardi, Christine; Dauge, Monique; Maday, Yvon
6
1995
Corner singularities of Maxwell interface and eddy current problems. Zbl 1054.35100
Costabel, Martin; Dauge, Monique; Nicaise, Serge
6
2004
Coefficients des singularités pour le problème de Dirichlet sur un polygone. (Coefficients of singularities for the Dirichlet problem in a polygon). Zbl 0619.35033
Dauge, Monique; Lubuma, Mbaro-Saman; Nicaise, Serge
6
1987
Opérateur de Stokes dans des espaces de Sobolev à poids sur des domaines anguleux. Zbl 0471.46021
Dauge, Monique
5
1982
On the asymptotic behaviour of the discrete spectrum in buckling problems for thin plates. Zbl 1100.35107
Dauge, Monique; Suri, Manil
5
2006
Singularities of corner problems and problems of corner singularities. Zbl 0921.35048
Dauge, Monique
5
1999
Strongly elliptic problems near cuspidal points and edges. Zbl 0853.35018
Dauge, Monique
5
1996
Weyl’s formula for a class of pseudodifferential operators with negative order in \(L^ 2({\mathbb{R}}^ n)\). Zbl 0629.35098
Dauge, Monique; Robert, Didier
5
1987
Compatibility of traces on the edges and corners of a polyhedron. (Compatibilité de traces aux arêtes et coins d’un polyèdre.) Zbl 0976.52008
Bernardi, Christine; Dauge, Monique; Maday, Yvon
5
2000
The lifting of polynomial traces revisited. Zbl 1227.46026
Bernardi, Christine; Dauge, Monique; Maday, Yvon
4
2010
Asymptotic behavior at high conductivity of skin depth in electromagnetism. (Comportement asymptotique à haute conductivité de l’épaisseur de peau en électromagnétisme.) Zbl 1188.35022
Dauge, Monique; Faou, Erwan; Péron, Victor
4
2010
Asymptotics of arbitrary order for a thin elastic clamped plate. (Développement asymptotique d’ordre arbitraire pour une plaque élastique mince encastrée.) Zbl 0837.73033
Dauge, Monique; Gruais, Isabelle
4
1995
Numerical approximation of a singularly perturbed contact problem. Zbl 0955.74048
Costabel, Martin; Dauge, Monique; Suri, Manil
4
1998
Weighted regularization of Maxwell equations: computations in curvilinear polygons. Zbl 1057.78011
Costabel, M.; Dauge, M.; Martin, Daniel; Vial, G.
4
2003
Higher order oblique derivatives problems on polyhedral domains. Zbl 0727.35038
Dauge, Monique
4
1989
Numerical investigation of a boundary penalization method for Maxwell equations. Zbl 0980.78011
Costabel, M.; Dauge, M.; Martin, D.
4
2000
Converging expansions for Lipschitz self-similar perforations of a plane sector. Zbl 1379.35064
Costabel, Martin; Dalla Riva, Matteo; Dauge, Monique; Musolino, Paolo
4
2017
Koiter estimate revisited. Zbl 1423.74568
Dauge, Monique; Faou, Erwan
3
2010
Corner asymptotics of the magnetic potential in the eddy-current model. Zbl 1301.35166
Dauge, Monique; Dular, Patrick; Krähenbühl, Laurent; Péron, Victor; Perrussel, Ronan; Poignard, Clair
3
2014
Asymptotics of arbitrary order for a thin elastic clamped plate. II: Analysis of the boundary layer terms. Zbl 0941.74031
Dauge, Monique; Gruais, Isabelle
3
1998
Problème de Dirichlet pour le laplacien dans un polygone curviligne. (Dirichlet problem for the Laplacian in a curvilinear polygonal domain). Zbl 0642.35064
Dauge, Monique; Steux, Jean-Luc
3
1987
Existence et régularité de la fonction potentiel pour des écoulements subcritiques s’établissant autour d’un corps à singularité conique. (Existence and regularity of the potential function for subcritical flows forming around a body at conical singularity). Zbl 0667.76023
Dauge, Monique; Pogu, Marc
3
1988
Free vibrations of axisymmetric shells: parabolic and elliptic cases. Zbl 1374.74088
Chaussade-Beaudouin, Marie; Dauge, Monique; Faou, Erwan; Yosibash, Zohar
3
2017
Dirichlet spectrum of the Fichera layer. Zbl 1401.35032
Dauge, Monique; Lafranche, Yvon; Ourmières-Bonafos, Thomas
3
2018
Ground state energy of the magnetic Laplacian on corner domains. Zbl 1368.81072
Bonnaillie-Noël, Virginie; Dauge, Monique; Popoff, Nicolas
3
2016
Second membre analytique pour un problème aux limites elliptique d’ordre 2m sur un polygone. Zbl 0549.35037
Dauge, Monique
2
1984
Full asymptotic expansions for thin elastic free plates. Zbl 0916.73021
Dauge, Monique; Djurdjevic, Ivica; Rössle, Andreas
2
1998
Higher order bending and membrane responses of thin linearly elastic plates. Zbl 0914.73025
Dauge, Monique; Djurdjevic, Ivica; Rössle, Andreas
2
1998
Singularities of Maxwell equations in a polyhedron. (Singularités des équations de Maxwell dans un polyèdre.) Zbl 0879.35147
Costabel, Martin; Dauge, Monique
2
1997
Edge layers in thin elastic plates. Zbl 0961.74040
Dauge, Monique; Gruais, Isabelle
2
1998
Trace Hardy inequality for the Euclidean space with a cut and its applications. Zbl 1464.26018
Dauge, Monique; Jex, Michal; Lotoreichik, Vladimir
1
2021
Dirichlet spectrum of the Fichera layer. Zbl 1401.35032
Dauge, Monique; Lafranche, Yvon; Ourmières-Bonafos, Thomas
3
2018
Converging expansions for Lipschitz self-similar perforations of a plane sector. Zbl 1379.35064
Costabel, Martin; Dalla Riva, Matteo; Dauge, Monique; Musolino, Paolo
4
2017
Free vibrations of axisymmetric shells: parabolic and elliptic cases. Zbl 1374.74088
Chaussade-Beaudouin, Marie; Dauge, Monique; Faou, Erwan; Yosibash, Zohar
3
2017
High frequency oscillations of first eigenmodes in axisymmetric shells as the thickness tends to zero. Zbl 1366.74042
Chaussade-Beaudouin, Marie; Dauge, Monique; Faou, Erwan; Yosibash, Zohar
2
2017
Continuity properties of the inf-sup constant for the divergence. Zbl 1339.35230
Bernardi, Christine; Costabel, Martin; Dauge, Monique; Girault, Vivette
9
2016
Ground state energy of the magnetic Laplacian on corner domains. Zbl 1368.81072
Bonnaillie-Noël, Virginie; Dauge, Monique; Popoff, Nicolas
3
2016
Magnetic Laplacian in sharp three-dimensional cones. Zbl 1402.81148
Bonnaillie-Noël, Virginie; Dauge, Monique; Popoff, Nicolas; Raymond, Nicolas
1
2016
Theoretical and numerical investigation of the finite cell method. Zbl 1331.65160
Dauge, Monique; Düster, Alexander; Rank, Ernst
20
2015
On the inequalities of Babuška-Aziz, Friedrichs and Horgan-Payne. Zbl 1329.35019
Costabel, Martin; Dauge, Monique
20
2015
Spectral asymptotics of the Dirichlet Laplacian in a conical layer. Zbl 1422.35015
Dauge, Monique; Ourmières-Bonafos, Thomas; Raymond, Nicolas
10
2015
The inf-sup constant for the divergence on corner domains. Zbl 1309.65131
Costabel, Martin; Crouzeix, Michel; Dauge, Monique; Lafranche, Yvon
9
2015
Regularity for Maxwell eigenproblems in photonic crystal fibre modelling. Zbl 1311.35045
Dauge, Monique; Norton, Richard A.; Scheichl, Robert
1
2015
Weighted analytic regularity in polyhedra. Zbl 1352.35024
Costabel, Martin; Dauge, Monique; Nicaise, Serge
10
2014
Corner asymptotics of the magnetic potential in the eddy-current model. Zbl 1301.35166
Dauge, Monique; Dular, Patrick; Krähenbühl, Laurent; Péron, Victor; Perrussel, Ronan; Poignard, Clair
3
2014
On Friedrichs constant and Horgan-Payne angle for LBB condition. Zbl 1360.35174
Dauge, Monique; Bernardi, Christine; Costabel, Martin; Girault, Vivette
2
2014
Analytic regularity for linear elliptic systems in polygons and polyhedra. Zbl 1257.35056
Costabel, Martin; Dauge, Monique; Nicaise, Serge
38
2012
Plane waveguides with corners in the small angle limit. Zbl 1278.81098
Dauge, Monique; Raymond, Nicolas
16
2012
Discrete spectrum of a model Schrödinger operator on the half-plane with Neumann conditions. Zbl 1238.35070
Bonnaillie-Noël, Virginie; Dauge, Monique; Popoff, Nicolas; Raymond, Nicolas
13
2012
Quantum waveguides with corners. Zbl 1357.81100
Dauge, Monique; Lafranche, Yvon; Raymond, Nicolas
8
2012
On the influence of the geometry on skin effect in electromagnetism. Zbl 1225.78003
Caloz, Gabriel; Dauge, Monique; Faou, Erwan; Péron, Victor
8
2011
Discrete compactness for the \(p\)-version of discrete differential forms. Zbl 1230.78025
Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek; Hiptmair, Ralf
6
2011
Circular edge singularities for the Laplace equation and the elasticity system in 3-D domains. Zbl 1283.74017
Yosibash, Zohar; Shannon, Samuel; Dauge, Monique; Costabel, Martin
1
2011
Sparse tensor product wavelet approximation of singular functions. Zbl 1218.65127
Dauge, Monique; Stevenson, Rob
14
2010
Selfsimilar perturbation near a corner: matching versus multiscale expansions for a model problem. Zbl 1190.35069
Dauge, Monique; Tordeux, Sébastien; Vial, Grégory
14
2010
Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism. Zbl 1194.35452
Caloz, Gabriel; Dauge, Monique; Péron, Victor
7
2010
Mellin analysis of weighted Sobolev spaces with nonhomogeneous norms on cones. Zbl 1196.46024
Costabel, Martin; Dauge, Monique; Nicaise, Serge
7
2010
The lifting of polynomial traces revisited. Zbl 1227.46026
Bernardi, Christine; Dauge, Monique; Maday, Yvon
4
2010
Asymptotic behavior at high conductivity of skin depth in electromagnetism. (Comportement asymptotique à haute conductivité de l’épaisseur de peau en électromagnétisme.) Zbl 1188.35022
Dauge, Monique; Faou, Erwan; Péron, Victor
4
2010
Koiter estimate revisited. Zbl 1423.74568
Dauge, Monique; Faou, Erwan
3
2010
Polynomial extension operators for \(H^1\), \(H(\mathrm{curl})\) and \(H(\mathrm{div})\)-spaces on a cube. Zbl 1198.65235
Costabel, M.; Dauge, M.; Demkowicz, L.
10
2008
Computations of the first eigenpairs for the Schrödinger operator with magnetic field. Zbl 1173.81300
Bonnaillie-Noël, V.; Dauge, M.; Martin, D.; Vial, G.
12
2007
Asymptotic expansion of the solution of an interface problem in a polygonal domain with thin layer. Zbl 1136.35021
Caloz, Gabriel; Costabel, Martin; Dauge, Monique; Vial, Grégory
29
2006
Asymptotics for the low-lying eigenstates of the Schrödinger operator with magnetic field near corners. Zbl 1134.81021
Bonnaillie-Noël, Virginie; Dauge, Monique
27
2006
Discrete compactness for the \(hp\) version of rectangular edge finite elements. Zbl 1122.65110
Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek
15
2006
Matching and multiscale expansions for a model singular perturbation problem. Zbl 1109.35013
Tordeux, Sébastien; Vial, Grégory; Dauge, Monique
9
2006
On the asymptotic behaviour of the discrete spectrum in buckling problems for thin plates. Zbl 1100.35107
Dauge, Monique; Suri, Manil
5
2006
Exponential convergence of \(hp\)-FEM for Maxwell equations with weighted regularization in polygonal domains. Zbl 1078.65089
Costabel, Martin; Dauge, Monique; Schwab, Christoph
34
2005
Algebraic convergence for anisotropic edge elements in polyhedral domains. Zbl 1116.78020
Buffa, A.; Costabel, M.; Dauge, M.
17
2005
Edge stress intensity functions in polyhedral domains and their extraction by a quasidual function method. Zbl 1197.74043
Yosibash, Zohar; Omer, Netta; Costabel, Martin; Dauge, Monique
8
2005
A quasi-dual function method for extracting edge stress intensity functions. Zbl 1141.35363
Costabel, Martin; Dauge, Monique; Yosibash, Zohar
16
2004
Edge flux intensity functions in polyhedral domains and their extraction by a quasidual function method. Zbl 1187.74080
Omer, Netta; Yosibash, Zohar; Costabel, Martin; Dauge, Monique
11
2004
Corner singularities of Maxwell interface and eddy current problems. Zbl 1054.35100
Costabel, Martin; Dauge, Monique; Nicaise, Serge
6
2004
Singularities of eddy current problems. Zbl 1170.35353
Costabel, Martin; Dauge, Monique; Nicaise, Serge
32
2003
Asymptotics without logarithmic terms for crack problems. Zbl 1103.35321
Costabel, Martin; Dauge, Monique; Duduchava, Roland
28
2003
Computation of resonance frequencies for Maxwell equations in non-smooth domains. Zbl 1116.78002
Costabel, Martin; Dauge, Monique
25
2003
Anisotropic regularity results for Laplace and Maxwell operators in a polyhedron. Zbl 1113.78300
Buffa, Annalisa; Costabel, Martin; Dauge, Monique
13
2003
Weighted regularization of Maxwell equations: computations in curvilinear polygons. Zbl 1057.78011
Costabel, M.; Dauge, M.; Martin, Daniel; Vial, G.
4
2003
Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements. Zbl 1019.78009
Costabel, Martin; Dauge, Monique
99
2002
Crack singularities for general elliptic systems. Zbl 1094.35038
Costabel, Martin; Dauge, Monique
22
2002
Numerical approximation of the spectra of non-compact operators arising in buckling problems. Zbl 1099.74545
Dauge, M.; Suri, M.
9
2002
Eigen-frequencies in thin elastic 3-D domains and Reissner-Mindlin plate models. Zbl 1107.74312
Dauge, Monique; Yosibash, Zohar
1
2002
Higher-order responses of three-dimensional elastic plate structures and their numerical illustration by \(p\)-FEM. Zbl 1112.74507
Dauge, Monique; Rössle, Andreas; Yosibash, Zohar
1
2002
\(hp\)-FEM for three-dimensional elastic plates. Zbl 1070.74046
Dauge, Monique; Schwab, Christoph
1
2002
Fast semi-analytic computation of elastic edge singularities. Zbl 1013.74078
Costabel, Martin; Dauge, Monique; Lafranche, Yvon
15
2001
Study at high frequencies of a stratified waveguide. Zbl 0986.78014
Bonnet-Ben Dhia, A. S.; Caloz, G.; Dauge, M.; Mahé, F.
2
2001
Singularities of electromagnetic fields in polyhedral domains. Zbl 0968.35113
Costabel, Martin; Dauge, Monique
120
2000
The influence of lateral boundary conditions on the asymptotics in thin elastic plates. Zbl 0958.74034
Dauge, Monique; Gruais, Isabelle; Rössle, Andreas
21
2000
Boundary layer realization in thin elastic three-dimensional domains and two-dimensional hierarchic plate models. Zbl 0973.74043
Dauge, M.; Yosibash, Z.
12
2000
Compatibility of traces on the edges and corners of a polyhedron. (Compatibilité de traces aux arêtes et coins d’un polyèdre.) Zbl 0976.52008
Bernardi, Christine; Dauge, Monique; Maday, Yvon
5
2000
Numerical investigation of a boundary penalization method for Maxwell equations. Zbl 0980.78011
Costabel, M.; Dauge, M.; Martin, D.
4
2000
Full asymptotic expansions for clamped or free shallow shells. (Développements asymptotiques complets pour des coques faiblement courbées encastrées ou libres.) Zbl 0960.74044
Andreoiu, Georgiana; Dauge, Monique; Faou, Erwan
1
2000
Singularities of Maxwell interface problems. Zbl 0937.78003
Costabel, Martin; Dauge, Monique; Nicaise, Serge
113
1999
Maxwell and Lamé eigenvalues on polyhedra. Zbl 0918.35096
Costabel, Martin; Dauge, Monique
42
1999
Spectral methods for axisymmetric domains. Numerical algorithms and tests due to Mejdi Azaïez. Zbl 0929.35001
Bernardi, Christine; Dauge, Monique; Maday, Yvon
42
1999
Spectral analysis and singularities of a non-coercive transmission problem. (Analyse specrale et singularités d’un problème de transmission non coercif.) Zbl 0932.35153
Bonnet-Bendhia, Anne-Sophie; Dauge, Monique; Ramdani, Karim
16
1999
Eigenmode asymptotics in thin elastic plates. Zbl 0966.74027
Dauge, M.; Djurdjevic, I.; Faou, E.; Rössle, A.
8
1999
Singularities of corner problems and problems of corner singularities. Zbl 0921.35048
Dauge, Monique
5
1999
Vector potentials in three-dimensional non-smooth domains. Zbl 0914.35094
Amrouche, C.; Bernardi, C.; Dauge, M.; Girault, V.
339
1998
A density result for the regularized Maxwell equations in a Lipschitz domain. (Un résultat de densité pour les équations de Maxwell régularisées dans un domaine lipschitzien.) Zbl 0921.35169
Costabel, Martin; Dauge, Monique
19
1998
Singularities of Maxwell’s equations on polyhedral domains. Zbl 0904.35089
Costabel, M.; Dauge, M.
9
1998
Numerical approximation of a singularly perturbed contact problem. Zbl 0955.74048
Costabel, Martin; Dauge, Monique; Suri, Manil
4
1998
Asymptotics of arbitrary order for a thin elastic clamped plate. II: Analysis of the boundary layer terms. Zbl 0941.74031
Dauge, Monique; Gruais, Isabelle
3
1998
Full asymptotic expansions for thin elastic free plates. Zbl 0916.73021
Dauge, Monique; Djurdjevic, Ivica; Rössle, Andreas
2
1998
Higher order bending and membrane responses of thin linearly elastic plates. Zbl 0914.73025
Dauge, Monique; Djurdjevic, Ivica; Rössle, Andreas
2
1998
Edge layers in thin elastic plates. Zbl 0961.74040
Dauge, Monique; Gruais, Isabelle
2
1998
On representation formulas and radiation conditions. Zbl 0876.35021
Costabel, Martin; Dauge, Monique
10
1997
A density result for Maxwell’s equations. (Un résultat de densité pour les équations de Maxwell.) Zbl 0880.35115
Ben Belgacem, Faker; Bernardi, Christine; Costabel, Martin; Dauge, Monique
9
1997
Singularities of Maxwell equations in a polyhedron. (Singularités des équations de Maxwell dans un polyèdre.) Zbl 0879.35147
Costabel, Martin; Dauge, Monique
2
1997
Invertibility of the biharmonic single layer potential operator. Zbl 0840.47039
Costabel, Martin; Dauge, Monique
23
1996
A singularly perturbed mixed boundary value problem. Zbl 0879.35017
Costabel, Martin; Dauge, Monique
20
1996
Asymptotics of arbitrary order for a thin elastic clamped plate. I: Optimal error estimates. Zbl 0856.73029
Dauge, Monique; Gruais, Isabelle
14
1996
Strongly elliptic problems near cuspidal points and edges. Zbl 0853.35018
Dauge, Monique
5
1996
Computation of corner singularities in linear elasticity. Zbl 0822.35040
Costabel, Martin; Dauge, Monique
11
1995
Interpolation of nullspaces for polynomial approximation of divergence- free functions in a cube. Zbl 0830.46015
Bernardi, Christine; Dauge, Monique; Maday, Yvon
6
1995
Asymptotics of arbitrary order for a thin elastic clamped plate. (Développement asymptotique d’ordre arbitraire pour une plaque élastique mince encastrée.) Zbl 0837.73033
Dauge, Monique; Gruais, Isabelle
4
1995
Boundary value problems and integral equations in nonsmooth domains. Proceedings of the conference, held at the CIRM, Luminy, France, May 3-7, 1993. Zbl 0810.00016
Costabel, Martin; Dauge, Monique; Nicaise, Serge
1
1995
Stable asymptotics for elliptic systems on plane domains with corners. Zbl 0814.35024
Costabel, Martin; Dauge, Monique
11
1994
Interpolation of nullspaces of differential operators with application to spectral methods. (Interpolation de noyaux d’opérateurs différentiels, application aux méthodes spectrales.) Zbl 0802.41002
Bernardi, Christine; Dauge, Monique; Maday, Yvon
1
1994
Eigenvalues variation. I: Neumann problem for Sturm–Liouville operators. Zbl 0784.34021
Dauge, Monique; Helffer, Bernard
48
1993
Construction of corner singularities for Agmon-Douglis-Nirenberg elliptic systems. Zbl 0802.35032
Costabel, Martin; Dauge, Monique
25
1993
General edge asymptotics of solutions of second-order elliptic boundary value problems. I. Zbl 0791.35032
Costabel, Martin; Dauge, Monique
16
1993
General edge asymptotics of solutions of second-order elliptic boundary value problems. II. Zbl 0791.35033
Costabel, Martin; Dauge, Monique
13
1993
Eigenvalues variation. II: Multidimensional problems. Zbl 0807.34033
Dauge, Monique; Helffer, Bernard
10
1993
Neumann and mixed problems on curvilinear polyhedra. Zbl 0767.46026
Dauge, Monique
78
1992
Coefficients of the singularities for elliptic boundary value problems on domains with conical points. III: Finite element methods on polygonal domains. Zbl 0794.35015
Bourlard, Maryse; Dauge, Monique; Lubuma, Mbaro-Saman; Nicaise, Serge
36
1992
Trace liftings which preserve polynomials. (Relèvements de traces préservant les polynômes.) Zbl 0755.65103
Bernardi, Christine; Dauge, Monique; Maday, Yvon
8
1992
Edge singularities for elliptic boundary value problems. (Singularités d’arêtes pour les problèmes aux limites elliptiques.) Zbl 0796.35033
Costabel, Martin; Dauge, Monique
1
1992
Développement asymptotique le long d’une arête pour des équations elliptiques d’ordre 2 dans \({\mathbb{R}}^ 3\). (Edge asymptotics for second order elliptic equations in piecewise analytic domains in \({\mathbb{R}}^ 3)\). Zbl 0722.35021
Costabel, Martin; Dauge, Monique
1
1991
Coefficients des singularités pour des problèmes aux limites elliptiques sur un domaine à points coniques. I: Résultats généraux pour le problème de Dirichlet. (Singularity coefficients for boundary value problems in domains with conical points. I: General results for the Dirichlet problem). Zbl 0691.35023
Dauge, Monique; Nicaise, Serge; Bourlard, Maryse; Lubuma, Jean Mbaro-Saman
8
1990
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Cited by 1,761 Authors

77 Nicaise, Serge
49 Dauge, Monique
37 Brenner, Susanne Cecelia
37 Ciarlet, Patrick jun.
28 Nazarov, Sergeĭ Aleksandrovich
27 Bernardi, Christine
26 Costabel, Martin
23 Hiptmair, Ralf
21 Helffer, Bernard
21 Li, Hengguang
20 Rodríguez, Rodolfo
19 Schwab, Christoph
18 Buffa, Annalisa
17 Zou, Jun
16 Bonnaillie-Noël, Virginie
16 Nistor, Victor
16 Raymond, Nicolas
14 Apel, Thomas
14 Schötzau, Dominik
13 Amrouche, Chérif
13 Duan, Huoyuan
12 Bramble, James H.
12 Pasciak, Joseph E.
12 Rukavishnikov, Viktor Anatol’evich
12 Vial, Grégory
12 Wendland, Wolfgang L.
12 Yosibash, Zohar
11 Assous, Franck
11 Claeys, Xavier
11 Girault, Vivette
11 Guermond, Jean-Luc
11 Kweon, Jae Ryong
11 Li, Jichun
11 Pankrashkin, Konstantin
11 Péron, Victor
11 Perugia, Ilaria
11 Rehberg, Joachim
11 Stevenson, Rob P.
11 Yousept, Irwin
10 Alonso Rodríguez, Ana
10 Cui, Jintao
10 Tordeux, Sébastien
10 Valli, Alberto
10 Yang, Yidu
9 Bi, Hai
9 Dambrine, Marc
9 Lubuma, Jean Mbaro-Saman
9 Nkemzi, Boniface
9 Pan, Xingbin
8 Bermúdez, Alfredo
8 Boffi, Daniele
8 Bonnet-Ben Dhia, Anne-Sophie
8 Carstensen, Carsten
8 Demkowicz, Leszek F.
8 Fournais, Søren
8 Hecht, Frédéric
8 Joly, Patrick
8 Kachmar, Ayman
8 Kang, Tong
8 Li, Buyang
8 Maz’ya, Vladimir Gilelevich
8 Meddahi, Salim
8 Nochetto, Ricardo Horacio
8 Ourmiéres-Bonafos, Thomas
8 Paquet, Luc
8 Pauly, Dirk
8 Repin, Sergeĭ Igorevich
8 Rossmann, Jürgen
8 Ruiz-Baier, Ricardo
8 Salgado, Abner J.
8 Sändig, Anna-Margarete
8 Stephan, Ernst Peter
8 Suri, Manil
8 Tan, Roger C. E.
7 Babuška, Ivo
7 Bacuta, Constantin
7 Badia, Santiago
7 Chesnel, Lucas
7 Chorfi, Nejmeddine
7 Cockburn, Bernardo
7 Creusé, Emmanuel
7 Gatica, Gabriel N.
7 Guzmán, Johnny
7 Kaiser, Hans-Christoph
7 Labrunie, Simon
7 Mitrea, Marius
7 Moiola, Andrea
7 Musolino, Paolo
7 Otárola, Enrique
7 Pfefferer, Johannes
7 Rank, Ernst
7 Salgado, Pilar
7 Sayas, Francisco-Javier
7 Schmidt, Gunther
7 Zhang, Shangyou
7 Zheng, Weiying
6 Ben Belgacem, Faker
6 Bonnet, Guy
6 Choi, Hyung Jun
6 Corfdir, Alain
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Cited in 250 Serials

89 Mathematics of Computation
74 Journal of Computational and Applied Mathematics
74 Numerische Mathematik
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63 Computers & Mathematics with Applications
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49 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
45 Journal of Scientific Computing
43 SIAM Journal on Numerical Analysis
36 Journal of Mathematical Analysis and Applications
33 Applied Numerical Mathematics
30 Journal of Computational Physics
26 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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20 Archive for Rational Mechanics and Analysis
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19 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
16 Mathematische Nachrichten
15 Journal de Mathématiques Pures et Appliquées. Neuvième Série
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13 Integral Equations and Operator Theory
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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11 Journal of Mathematical Fluid Mechanics
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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3 Annales de l’Institut Fourier
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3 Chinese Annals of Mathematics. Series B
3 Revista Matemática Iberoamericana
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3 Annales de l’Institut Henri Poincaré. Physique Théorique
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52 Quantum theory (81-XX)
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