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Author ID: dauge.monique Recent zbMATH articles by "Dauge, Monique"
Published as: Dauge, Monique; Dauge, M.
External Links: MGP
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 Integral Equations and Operator Theory
5 SIAM Journal on Mathematical Analysis
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 IMA Journal of Applied Mathematics
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
2 Oberwolfach Reports
1 Computers & Mathematics with Applications
1 International Journal of Solids and Structures
1 Journal of Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 BIT
1 Calcolo
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 Discrete and Continuous Dynamical Systems
1 Annales Henri Poincaré
1 Journal of Numerical Mathematics
1 Communications on Pure and Applied Analysis
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 Series in Applied Mathematics (Paris)
1 Journal of Spectral Theory

Publications by Year

Citations contained in zbMATH Open

124 Publications have been cited 3,244 times in 2,202 Documents Cited by Year
Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions. Zbl 0668.35001
Dauge, Monique
563
1988
Vector potentials in three-dimensional non-smooth domains. Zbl 0914.35094
Amrouche, C.; Bernardi, C.; Dauge, M.; Girault, V.
448
1998
Singularities of electromagnetic fields in polyhedral domains. Zbl 0968.35113
Costabel, Martin; Dauge, Monique
157
2000
Stationary Stokes and Navier-Stokes systems on two- or three-dimensional domains with corners. I: Linearized equations. Zbl 0681.35071
Dauge, Monique
153
1989
Singularities of Maxwell interface problems. Zbl 0937.78003
Costabel, Martin; Dauge, Monique; Nicaise, Serge
147
1999
Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements. Zbl 1019.78009
Costabel, Martin; Dauge, Monique
122
2002
Spectral methods for axisymmetric domains. Numerical algorithms and tests due to Mejdi Azaïez. Zbl 0929.35001
Bernardi, Christine; Dauge, Monique; Maday, Yvon
98
1999
Neumann and mixed problems on curvilinear polyhedra. Zbl 0767.46026
Dauge, Monique
92
1992
Eigenvalues variation. I: Neumann problem for Sturm–Liouville operators. Zbl 0784.34021
Dauge, Monique; Helffer, Bernard
61
1993
Maxwell and Lamé eigenvalues on polyhedra. Zbl 0918.35096
Costabel, Martin; Dauge, Monique
57
1999
Analytic regularity for linear elliptic systems in polygons and polyhedra. Zbl 1257.35056
Costabel, Martin; Dauge, Monique; Nicaise, Serge
54
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
41
1992
Theoretical and numerical investigation of the finite cell method. Zbl 1331.65160
Dauge, Monique; Düster, Alexander; Rank, Ernst
41
2015
Exponential convergence of \(hp\)-FEM for Maxwell equations with weighted regularization in polygonal domains. Zbl 1078.65089
Costabel, Martin; Dauge, Monique; Schwab, Christoph
37
2005
Singularities of eddy current problems. Zbl 1170.35353
Costabel, Martin; Dauge, Monique; Nicaise, Serge
37
2003
Asymptotics without logarithmic terms for crack problems. Zbl 1103.35321
Costabel, Martin; Dauge, Monique; Duduchava, Roland
36
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
34
2006
Computation of resonance frequencies for Maxwell equations in non-smooth domains. Zbl 1116.78002
Costabel, Martin; Dauge, Monique
32
2003
A singularly perturbed mixed boundary value problem. Zbl 0879.35017
Costabel, Martin; Dauge, Monique
30
1996
Asymptotics for the low-lying eigenstates of the Schrödinger operator with magnetic field near corners. Zbl 1134.81021
Bonnaillie-Noël, Virginie; Dauge, Monique
29
2006
Invertibility of the biharmonic single layer potential operator. Zbl 0840.47039
Costabel, Martin; Dauge, Monique
28
1996
Construction of corner singularities for Agmon-Douglis-Nirenberg elliptic systems. Zbl 0802.35032
Costabel, Martin; Dauge, Monique
28
1993
Crack singularities for general elliptic systems. Zbl 1094.35038
Costabel, Martin; Dauge, Monique
26
2002
On the inequalities of Babuška-Aziz, Friedrichs and Horgan-Payne. Zbl 1329.35019
Costabel, Martin; Dauge, Monique
26
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
25
1998
Plane waveguides with corners in the small angle limit. Zbl 1278.81098
Dauge, Monique; Raymond, Nicolas
25
2012
The influence of lateral boundary conditions on the asymptotics in thin elastic plates. Zbl 0958.74034
Dauge, Monique; Gruais, Isabelle; Rössle, Andreas
24
2000
Algebraic convergence for anisotropic edge elements in polyhedral domains. Zbl 1116.78020
Buffa, A.; Costabel, M.; Dauge, M.
23
2005
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
22
1999
A quasi-dual function method for extracting edge stress intensity functions. Zbl 1141.35363
Costabel, Martin; Dauge, Monique; Yosibash, Zohar
22
2004
General edge asymptotics of solutions of second-order elliptic boundary value problems. I. Zbl 0791.35032
Costabel, Martin; Dauge, Monique
20
1993
Fast semi-analytic computation of elastic edge singularities. Zbl 1013.74078
Costabel, Martin; Dauge, Monique; Lafranche, Yvon
17
2001
Sparse tensor product wavelet approximation of singular functions. Zbl 1218.65127
Dauge, Monique; Stevenson, Rob
17
2010
Discrete compactness for the \(hp\) version of rectangular edge finite elements. Zbl 1122.65110
Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek
17
2006
Selfsimilar perturbation near a corner: matching versus multiscale expansions for a model problem. Zbl 1190.35069
Dauge, Monique; Tordeux, Sébastien; Vial, Grégory
17
2010
Asymptotics of arbitrary order for a thin elastic clamped plate. I: Optimal error estimates. Zbl 0856.73029
Dauge, Monique; Gruais, Isabelle
16
1996
Eigenvalues variation. II: Multidimensional problems. Zbl 0807.34033
Dauge, Monique; Helffer, Bernard
16
1993
Singularities of Maxwell’s equations on polyhedral domains. Zbl 0904.35089
Costabel, M.; Dauge, M.
15
1998
Computations of the first eigenpairs for the Schrödinger operator with magnetic field. Zbl 1173.81300
Bonnaillie-Noël, V.; Dauge, M.; Martin, D.; Vial, G.
15
2007
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
15
2012
Anisotropic regularity results for Laplace and Maxwell operators in a polyhedron. Zbl 1113.78300
Buffa, Annalisa; Costabel, Martin; Dauge, Monique
14
2003
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
14
1987
General edge asymptotics of solutions of second-order elliptic boundary value problems. II. Zbl 0791.35033
Costabel, Martin; Dauge, Monique
14
1993
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
14
1990
On representation formulas and radiation conditions. Zbl 0876.35021
Costabel, Martin; Dauge, Monique
13
1997
Boundary layer realization in thin elastic three-dimensional domains and two-dimensional hierarchic plate models. Zbl 0973.74043
Dauge, M.; Yosibash, Z.
13
2000
Eigenmode asymptotics in thin elastic plates. Zbl 0966.74027
Dauge, M.; Djurdjevic, I.; Faou, E.; Rössle, A.
13
1999
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
13
2004
Oblique derivative and interface problems on polygonal domains and networks. Zbl 0727.35037
Dauge, Monique; Nicaise, Serge
13
1989
Singularities of corner problems and problems of corner singularities. Zbl 0921.35048
Dauge, Monique
12
1999
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.
12
2008
Regularité Gevrey pour le problème de Dirichlet dans des domaines à singularités coniques. Zbl 0573.35024
Bolley, Pierre; Dauge, Monique; Camus, Jacques
12
1985
Mellin analysis of weighted Sobolev spaces with nonhomogeneous norms on cones. Zbl 1196.46024
Costabel, Martin; Dauge, Monique; Nicaise, Serge
12
2010
Spectral asymptotics of the Dirichlet Laplacian in a conical layer. Zbl 1422.35015
Dauge, Monique; Ourmières-Bonafos, Thomas; Raymond, Nicolas
12
2015
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
12
1990
Trace liftings which preserve polynomials. (Relèvements de traces préservant les polynômes.) Zbl 0755.65103
Bernardi, Christine; Dauge, Monique; Maday, Yvon
12
1992
Quantum waveguides with corners. Zbl 1357.81100
Dauge, Monique; Lafranche, Yvon; Raymond, Nicolas
12
2012
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
11
1997
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
Continuity properties of the inf-sup constant for the divergence. Zbl 1339.35230
Bernardi, Christine; Costabel, Martin; Dauge, Monique; Girault, Vivette
11
2016
The inf-sup constant for the divergence on corner domains. Zbl 1309.65131
Costabel, Martin; Crouzeix, Michel; Dauge, Monique; Lafranche, Yvon
11
2015
Converging expansions for Lipschitz self-similar perforations of a plane sector. Zbl 1379.35064
Costabel, Martin; Dalla Riva, Matteo; Dauge, Monique; Musolino, Paolo
11
2017
Weighted analytic regularity in polyhedra. Zbl 1352.35024
Costabel, Martin; Dauge, Monique; Nicaise, Serge
11
2014
Corner singularities of Maxwell interface and eddy current problems. Zbl 1054.35100
Costabel, Martin; Dauge, Monique; Nicaise, Serge
10
2004
Numerical approximation of the spectra of non-compact operators arising in buckling problems. Zbl 1099.74545
Dauge, M.; Suri, M.
10
2002
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
Discrete compactness for the \(p\)-version of discrete differential forms. Zbl 1230.78025
Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek; Hiptmair, Ralf
10
2011
Ground state energy of the magnetic Laplacian on corner domains. Zbl 1368.81072
Bonnaillie-Noël, Virginie; Dauge, Monique; Popoff, Nicolas
10
2016
On the influence of the geometry on skin effect in electromagnetism. Zbl 1225.78003
Caloz, Gabriel; Dauge, Monique; Faou, Erwan; Péron, Victor
10
2011
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
9
2005
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
9
1988
Matching and multiscale expansions for a model singular perturbation problem. Zbl 1109.35013
Tordeux, Sébastien; Vial, Grégory; Dauge, Monique
9
2006
Interpolation of nullspaces for polynomial approximation of divergence- free functions in a cube. Zbl 0830.46015
Bernardi, Christine; Dauge, Monique; Maday, Yvon
8
1995
Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism. Zbl 1194.35452
Caloz, Gabriel; Dauge, Monique; Péron, Victor
8
2010
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
7
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
7
1988
Dirichlet spectrum of the Fichera layer. Zbl 1401.35032
Dauge, Monique; Lafranche, Yvon; Ourmières-Bonafos, Thomas
7
2018
Strongly elliptic problems near cuspidal points and edges. Zbl 0853.35018
Dauge, Monique
6
1996
The lifting of polynomial traces revisited. Zbl 1227.46026
Bernardi, Christine; Dauge, Monique; Maday, Yvon
6
2010
Asymptotics of arbitrary order for a thin elastic clamped plate. II: Analysis of the boundary layer terms. Zbl 0941.74031
Dauge, Monique; Gruais, Isabelle
6
1998
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
6
2000
On the asymptotic behaviour of the discrete spectrum in buckling problems for thin plates. Zbl 1100.35107
Dauge, Monique; Suri, Manil
6
2006
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
6
2014
Opérateur de Stokes dans des espaces de Sobolev à poids sur des domaines anguleux. Zbl 0471.46021
Dauge, Monique
6
1982
Numerical approximation of a singularly perturbed contact problem. Zbl 0955.74048
Costabel, Martin; Dauge, Monique; Suri, Manil
5
1998
Weighted regularization of Maxwell equations: computations in curvilinear polygons. Zbl 1057.78011
Costabel, M.; Dauge, M.; Martin, Daniel; Vial, G.
5
2003
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
5
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 investigation of a boundary penalization method for Maxwell equations. Zbl 0980.78011
Costabel, M.; Dauge, M.; Martin, D.
4
2000
Edge layers in thin elastic plates. Zbl 0961.74040
Dauge, Monique; Gruais, Isabelle
4
1998
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
4
1995
Higher order oblique derivatives problems on polyhedral domains. Zbl 0727.35038
Dauge, Monique
4
1989
Asymptotics for 2D whispering gallery modes in optical micro-disks with radially varying index. Zbl 1491.78008
Balac, Stéphane; Dauge, Monique; Moitier, Zoïs
4
2021
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
4
2017
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
Koiter estimate revisited. Zbl 1423.74568
Dauge, Monique; Faou, Erwan
3
2010
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
3
2011
Free vibrations of axisymmetric shells: parabolic and elliptic cases. Zbl 1374.74088
Chaussade-Beaudouin, Marie; Dauge, Monique; Faou, Erwan; Yosibash, Zohar
3
2017
Asymptotics for 2D whispering gallery modes in optical micro-disks with radially varying index. Zbl 1491.78008
Balac, Stéphane; Dauge, Monique; Moitier, Zoïs
4
2021
Trace Hardy inequality for the Euclidean space with a cut and its applications. Zbl 1464.26018
Dauge, Monique; Jex, Michal; Lotoreichik, Vladimir
1
2021
On the semiclassical Laplacian with magnetic field having self-intersecting zero set. Zbl 1470.35245
Dauge, Monique; Miqueu, Jean-Philippe; Raymond, Nicolas
1
2020
Maxwell eigenmodes in product domains. Zbl 1445.78001
Costabel, Martin; Dauge, Monique
3
2019
Dirichlet spectrum of the Fichera layer. Zbl 1401.35032
Dauge, Monique; Lafranche, Yvon; Ourmières-Bonafos, Thomas
7
2018
Converging expansions for Lipschitz self-similar perforations of a plane sector. Zbl 1379.35064
Costabel, Martin; Dalla Riva, Matteo; Dauge, Monique; Musolino, Paolo
11
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
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
Continuity properties of the inf-sup constant for the divergence. Zbl 1339.35230
Bernardi, Christine; Costabel, Martin; Dauge, Monique; Girault, Vivette
11
2016
Ground state energy of the magnetic Laplacian on corner domains. Zbl 1368.81072
Bonnaillie-Noël, Virginie; Dauge, Monique; Popoff, Nicolas
10
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
41
2015
On the inequalities of Babuška-Aziz, Friedrichs and Horgan-Payne. Zbl 1329.35019
Costabel, Martin; Dauge, Monique
26
2015
Spectral asymptotics of the Dirichlet Laplacian in a conical layer. Zbl 1422.35015
Dauge, Monique; Ourmières-Bonafos, Thomas; Raymond, Nicolas
12
2015
The inf-sup constant for the divergence on corner domains. Zbl 1309.65131
Costabel, Martin; Crouzeix, Michel; Dauge, Monique; Lafranche, Yvon
11
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
11
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
6
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
54
2012
Plane waveguides with corners in the small angle limit. Zbl 1278.81098
Dauge, Monique; Raymond, Nicolas
25
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
15
2012
Quantum waveguides with corners. Zbl 1357.81100
Dauge, Monique; Lafranche, Yvon; Raymond, Nicolas
12
2012
Discrete compactness for the \(p\)-version of discrete differential forms. Zbl 1230.78025
Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek; Hiptmair, Ralf
10
2011
On the influence of the geometry on skin effect in electromagnetism. Zbl 1225.78003
Caloz, Gabriel; Dauge, Monique; Faou, Erwan; Péron, Victor
10
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
3
2011
Sparse tensor product wavelet approximation of singular functions. Zbl 1218.65127
Dauge, Monique; Stevenson, Rob
17
2010
Selfsimilar perturbation near a corner: matching versus multiscale expansions for a model problem. Zbl 1190.35069
Dauge, Monique; Tordeux, Sébastien; Vial, Grégory
17
2010
Mellin analysis of weighted Sobolev spaces with nonhomogeneous norms on cones. Zbl 1196.46024
Costabel, Martin; Dauge, Monique; Nicaise, Serge
12
2010
Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism. Zbl 1194.35452
Caloz, Gabriel; Dauge, Monique; Péron, Victor
8
2010
The lifting of polynomial traces revisited. Zbl 1227.46026
Bernardi, Christine; Dauge, Monique; Maday, Yvon
6
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
5
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.
12
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.
15
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
34
2006
Asymptotics for the low-lying eigenstates of the Schrödinger operator with magnetic field near corners. Zbl 1134.81021
Bonnaillie-Noël, Virginie; Dauge, Monique
29
2006
Discrete compactness for the \(hp\) version of rectangular edge finite elements. Zbl 1122.65110
Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek
17
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
6
2006
Exponential convergence of \(hp\)-FEM for Maxwell equations with weighted regularization in polygonal domains. Zbl 1078.65089
Costabel, Martin; Dauge, Monique; Schwab, Christoph
37
2005
Algebraic convergence for anisotropic edge elements in polyhedral domains. Zbl 1116.78020
Buffa, A.; Costabel, M.; Dauge, M.
23
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
9
2005
A quasi-dual function method for extracting edge stress intensity functions. Zbl 1141.35363
Costabel, Martin; Dauge, Monique; Yosibash, Zohar
22
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
13
2004
Corner singularities of Maxwell interface and eddy current problems. Zbl 1054.35100
Costabel, Martin; Dauge, Monique; Nicaise, Serge
10
2004
Singularities of eddy current problems. Zbl 1170.35353
Costabel, Martin; Dauge, Monique; Nicaise, Serge
37
2003
Asymptotics without logarithmic terms for crack problems. Zbl 1103.35321
Costabel, Martin; Dauge, Monique; Duduchava, Roland
36
2003
Computation of resonance frequencies for Maxwell equations in non-smooth domains. Zbl 1116.78002
Costabel, Martin; Dauge, Monique
32
2003
Anisotropic regularity results for Laplace and Maxwell operators in a polyhedron. Zbl 1113.78300
Buffa, Annalisa; Costabel, Martin; Dauge, Monique
14
2003
Weighted regularization of Maxwell equations: computations in curvilinear polygons. Zbl 1057.78011
Costabel, M.; Dauge, M.; Martin, Daniel; Vial, G.
5
2003
Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements. Zbl 1019.78009
Costabel, Martin; Dauge, Monique
122
2002
Crack singularities for general elliptic systems. Zbl 1094.35038
Costabel, Martin; Dauge, Monique
26
2002
Numerical approximation of the spectra of non-compact operators arising in buckling problems. Zbl 1099.74545
Dauge, M.; Suri, M.
10
2002
Eigen-frequencies in thin elastic 3-D domains and Reissner-Mindlin plate models. Zbl 1107.74312
Dauge, Monique; Yosibash, Zohar
2
2002
\(hp\)-FEM for three-dimensional elastic plates. Zbl 1070.74046
Dauge, Monique; Schwab, Christoph
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
Fast semi-analytic computation of elastic edge singularities. Zbl 1013.74078
Costabel, Martin; Dauge, Monique; Lafranche, Yvon
17
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
157
2000
The influence of lateral boundary conditions on the asymptotics in thin elastic plates. Zbl 0958.74034
Dauge, Monique; Gruais, Isabelle; Rössle, Andreas
24
2000
Boundary layer realization in thin elastic three-dimensional domains and two-dimensional hierarchic plate models. Zbl 0973.74043
Dauge, M.; Yosibash, Z.
13
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
6
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
147
1999
Spectral methods for axisymmetric domains. Numerical algorithms and tests due to Mejdi Azaïez. Zbl 0929.35001
Bernardi, Christine; Dauge, Monique; Maday, Yvon
98
1999
Maxwell and Lamé eigenvalues on polyhedra. Zbl 0918.35096
Costabel, Martin; Dauge, Monique
57
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
22
1999
Eigenmode asymptotics in thin elastic plates. Zbl 0966.74027
Dauge, M.; Djurdjevic, I.; Faou, E.; Rössle, A.
13
1999
Singularities of corner problems and problems of corner singularities. Zbl 0921.35048
Dauge, Monique
12
1999
Vector potentials in three-dimensional non-smooth domains. Zbl 0914.35094
Amrouche, C.; Bernardi, C.; Dauge, M.; Girault, V.
448
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
25
1998
Singularities of Maxwell’s equations on polyhedral domains. Zbl 0904.35089
Costabel, M.; Dauge, M.
15
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
6
1998
Numerical approximation of a singularly perturbed contact problem. Zbl 0955.74048
Costabel, Martin; Dauge, Monique; Suri, Manil
5
1998
Edge layers in thin elastic plates. Zbl 0961.74040
Dauge, Monique; Gruais, Isabelle
4
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
On representation formulas and radiation conditions. Zbl 0876.35021
Costabel, Martin; Dauge, Monique
13
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
11
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
Solvability of a system of integral equations for clamped plates. Zbl 0892.73017
Costabel, Martin; Dauge, Monique
2
1997
A singularly perturbed mixed boundary value problem. Zbl 0879.35017
Costabel, Martin; Dauge, Monique
30
1996
Invertibility of the biharmonic single layer potential operator. Zbl 0840.47039
Costabel, Martin; Dauge, Monique
28
1996
Asymptotics of arbitrary order for a thin elastic clamped plate. I: Optimal error estimates. Zbl 0856.73029
Dauge, Monique; Gruais, Isabelle
16
1996
Strongly elliptic problems near cuspidal points and edges. Zbl 0853.35018
Dauge, Monique
6
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
8
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
4
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
61
1993
Construction of corner singularities for Agmon-Douglis-Nirenberg elliptic systems. Zbl 0802.35032
Costabel, Martin; Dauge, Monique
28
1993
General edge asymptotics of solutions of second-order elliptic boundary value problems. I. Zbl 0791.35032
Costabel, Martin; Dauge, Monique
20
1993
Eigenvalues variation. II: Multidimensional problems. Zbl 0807.34033
Dauge, Monique; Helffer, Bernard
16
1993
General edge asymptotics of solutions of second-order elliptic boundary value problems. II. Zbl 0791.35033
Costabel, Martin; Dauge, Monique
14
1993
Neumann and mixed problems on curvilinear polyhedra. Zbl 0767.46026
Dauge, Monique
92
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
41
1992
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Cited by 2,269 Authors

82 Nicaise, Serge
53 Dauge, Monique
46 Brenner, Susanne Cecelia
43 Ciarlet, Patrick jun.
37 Nazarov, Sergeĭ Aleksandrovich
37 Sung, Li-Yeng
29 Bernardi, Christine
28 Costabel, Martin
27 Schwab, Christoph
26 Hiptmair, Ralf
25 Helffer, Bernard
24 Rodríguez, Rodolfo
22 Li, Hengguang
21 Zou, Jun
20 Raymond, Nicolas
19 Nistor, Victor
18 Amrouche, Chérif
18 Buffa, Annalisa
18 Duan, Huoyuan
17 Bonnaillie-Noël, Virginie
15 Chorfi, Nejmeddine
14 Apel, Thomas
14 Assous, Franck
14 Guermond, Jean-Luc
14 Li, Jichun
14 Schötzau, Dominik
14 Vial, Grégory
13 Chaumont-Frelet, Théophile
13 Pan, Xingbin
13 Pankrashkin, Konstantin
13 Rukavishnikov, Viktor Anatol’evich
13 Wendland, Wolfgang L.
13 Yousept, Irwin
12 Bi, Hai
12 Bramble, James H.
12 Claeys, Xavier
12 Düster, Alexander
12 Kachmar, Ayman
12 Musolino, Paolo
12 Nkemzi, Boniface
12 Pasciak, Joseph E.
12 Péron, Victor
12 Rehberg, Joachim
12 Spence, Euan A.
12 Stevenson, Rob P.
12 Yang, Yidu
12 Yosibash, Zohar
11 Alonso Rodríguez, Ana
11 Carstensen, Carsten
11 Chesnel, Lucas
11 Girault, Vivette
11 Guo, Ben-Yu
11 Huang, Xuehai
11 Kang, Tong
11 Kweon, Jae Ryong
11 Meddahi, Salim
11 Perugia, Ilaria
11 Qiu, Weifeng
11 Tordeux, Sébastien
10 Bonnet-Ben Dhia, Anne-Sophie
10 Cui, Jintao
10 Fournais, Søren
10 Gatica, Gabriel N.
10 Gopalakrishnan, Jay
10 Li, Buyang
10 Mao, Shipeng
10 Otárola, Enrique
10 Pauly, Dirk
10 Rank, Ernst
10 Rossmann, Jürgen
10 Salgado, Abner J.
10 Stephan, Ernst Peter
10 Valli, Alberto
9 Bermúdez, Alfredo
9 Boffi, Daniele
9 Creusé, Emmanuel
9 Dambrine, Marc
9 Gallistl, Dietmar
9 Kollmannsberger, Stefan
9 Liu, Hongyu
9 Lubuma, Jean Mbaro-Saman
9 Marcati, Carlo
9 Moiola, Andrea
9 Nochetto, Ricardo Horacio
9 Ruiz-Baier, Ricardo
8 Babuška, Ivo
8 Bacuta, Constantin
8 Badia, Santiago
8 Ben Belgacem, Faker
8 Cockburn, Bernardo
8 Demkowicz, Leszek F.
8 Ern, Alexandre
8 Hecht, Frédéric
8 Heuer, Norbert
8 Huang, Jianguo
8 Huang, Yunqing
8 Joly, Patrick
8 Labrunie, Simon
8 Lotoreichik, Vladimir
8 Maz’ya, Vladimir Gilelevich
...and 2,169 more Authors
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Cited in 294 Serials

100 Mathematics of Computation
96 Computers & Mathematics with Applications
96 Computer Methods in Applied Mechanics and Engineering
87 Mathematical Methods in the Applied Sciences
87 Journal of Computational and Applied Mathematics
84 Numerische Mathematik
63 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
60 SIAM Journal on Numerical Analysis
60 Journal of Scientific Computing
59 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
49 Journal of Mathematical Analysis and Applications
43 Journal of Computational Physics
41 Numerical Methods for Partial Differential Equations
40 Applied Numerical Mathematics
34 Journal of Differential Equations
29 SIAM Journal on Mathematical Analysis
29 Comptes Rendus. Mathématique. Académie des Sciences, Paris
26 Applied Mathematics and Computation
25 Mathematische Nachrichten
23 Journal of Functional Analysis
21 Communications in Partial Differential Equations
20 Archive for Rational Mechanics and Analysis
19 Journal de Mathématiques Pures et Appliquées. Neuvième Série
19 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
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16 ZAMP. Zeitschrift für angewandte Mathematik und Physik
16 Integral Equations and Operator Theory
16 Computational Mechanics
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
15 Journal of Elasticity
15 Journal of Mathematical Sciences (New York)
14 International Journal for Numerical Methods in Engineering
14 Engineering Analysis with Boundary Elements
14 Journal of Mathematical Fluid Mechanics
13 Journal of Spectral Theory
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11 Calculus of Variations and Partial Differential Equations
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11 Boundary Value Problems
10 Inverse Problems
10 Numerical Functional Analysis and Optimization
10 Foundations of Computational Mathematics
9 BIT
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9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
8 Zeitschrift für Analysis und ihre Anwendungen
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5 Communications in Computational Physics
5 S\(\vec{\text{e}}\)MA Journal
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4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Journal of the London Mathematical Society. Second Series
4 Proceedings of the American Mathematical Society
4 Revista Matemática Iberoamericana
4 Journal of Integral Equations and Applications
4 Applied Mathematical Modelling
4 International Journal of Computer Mathematics
4 Mémoires de la Société Mathématique de France. Nouvelle Série
4 Annales Henri Poincaré
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