Monique Dauge - Author Profile

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Dauge, Monique

Author ID:	dauge.monique
Published as:	Dauge, Monique; Dauge, M.
Homepage:	https://perso.univ-rennes1.fr/monique.dauge/
External Links:	MGP · Wikidata · Google Scholar · ResearchGate · dblp

Documents Indexed:	138 Publications since 1980, including 3 Books and 4 Additional arXiv Preprints
	6 Contributions as Editor
Co-Authors:	75 Co-Authors with 130 Joint Publications
	2,437 Co-Co-Authors

all top 5

Co-Authors

14	single-authored
56	Costabel, Martin
15	Nicaise, Serge
10	Bernardi, Christine
10	Yosibash, Zohar
7	Faou, Erwan
6	Bonnaillie-Noël, Virginie
6	Caloz, Gabriel
6	Maday, Yvon
6	Raymond, Nicolas
5	Gruais, Isabelle
5	Rössle, Andreas
5	Vial, Grégory
4	Bourlard, Maryse
4	Lafranche, Yvon
4	Péron, Victor
4	Popoff, Nicolas
3	Demkowicz, Leszek
3	Djurdjevic, Ivica
3	Girault, Vivette
3	Robert, Didier
3	Suri, Manil
2	Boffi, Daniele
2	Bolley, Pierre
2	Bonnet-Ben Dhia, Anne-Sophie
2	Buffa, Annalisa
2	Camus, Jacques
2	Chaussade-Beaudouin, Marie
2	Dalla Riva, Matteo
2	Helffer, Bernard
2	Lubuma, Jean Mbaro-Saman
2	Lubuma, Mbaro-Saman
2	Musolino, Paolo
2	Omer, Netta
2	Ourmiéres-Bonafos, Thomas
2	Pogu, Marc
2	Schwab, Christoph
2	Shannon, Samuel
2	Tordeux, Sébastien
1	Amrouche, Chérif
1	Andreoiu, Georgiana
1	Azaïez, Mejdi
1	Balac, Stéphane
1	Ben Belgacem, Faker
1	Brahimi, Mohamed
1	Chandler-Wilde, Simon N.
1	Crouzeix, Michel
1	Duduchava, Roland
1	Dular, Patrick
1	Düster, Alexander
1	Hall, Michael A.
1	Hiptmair, Ralf
1	Hu, Junqi
1	Jex, Michal
1	Krähenbühl, Laurent
1	Langer, Ulrich
1	Lotoreichik, Vladimir
1	Mahé, Fabrice
1	Miqueu, Jean-Philippe
1	Moitier, Zoïs
1	Monk, Peter B.
1	Nazarov, Sergeĭ Aleksandrovich
1	Nedaiasl, Khadijeh
1	Norton, Richard A.
1	Pauly, Dirk
1	Perrussel, Ronan
1	Poignard, Clair
1	Ramdani, Karim
1	Rank, Ernst
1	Scheichl, Robert
1	Sokołowski, Jan
1	Spence, Euan A.
1	Steux, Jean-Luc
1	Stevenson, Rob P.
1	Texier, Benjamin
1	Vũ Ngọc, San
1	Wunsch, Jared

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

all top 5

Fields

106	Partial differential equations (35-XX)
31	Numerical analysis (65-XX)
29	Mechanics of deformable solids (74-XX)
23	Optics, electromagnetic theory (78-XX)
14	Functional analysis (46-XX)
13	Operator theory (47-XX)
8	Quantum theory (81-XX)
6	General and overarching topics; collections (00-XX)
6	Fluid mechanics (76-XX)
5	Integral equations (45-XX)
4	Approximations and expansions (41-XX)
3	Potential theory (31-XX)
2	Ordinary differential equations (34-XX)
2	Harmonic analysis on Euclidean spaces (42-XX)
1	Number theory (11-XX)
1	Linear and multilinear algebra; matrix theory (15-XX)
1	Real functions (26-XX)
1	Convex and discrete geometry (52-XX)
1	Global analysis, analysis on manifolds (58-XX)
1	Statistical mechanics, structure of matter (82-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

125 Publications have been cited 3,293 times in 2,245 Documents	Cited by ▼	Year ▼
Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions. Zbl 0668.35001 Dauge, Monique	573	1988
Vector potentials in three-dimensional non-smooth domains. Zbl 0914.35094 Amrouche, C.; Bernardi, C.; Dauge, M.; Girault, V.	458	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	157	1989
Singularities of Maxwell interface problems. Zbl 0937.78003 Costabel, Martin; Dauge, Monique; Nicaise, Serge	152	1999
Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements. Zbl 1019.78009 Costabel, Martin; Dauge, Monique	124	2002
Spectral methods for axisymmetric domains. Numerical algorithms and tests due to Mejdi Azaïez. Zbl 0929.35001 Bernardi, Christine; Dauge, Monique; Maday, Yvon	105	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	64	1993
Maxwell and Lamé eigenvalues on polyhedra. Zbl 0918.35096 Costabel, Martin; Dauge, Monique	58	1999
Analytic regularity for linear elliptic systems in polygons and polyhedra. Zbl 1257.35056 Costabel, Martin; Dauge, Monique; Nicaise, Serge	54	2012
Theoretical and numerical investigation of the finite cell method. Zbl 1331.65160 Dauge, Monique; Düster, Alexander; Rank, Ernst	42	2015
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
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
Exponential convergence of \(hp\)-FEM for Maxwell equations with weighted regularization in polygonal domains. Zbl 1078.65089 Costabel, Martin; Dauge, Monique; Schwab, Christoph	35	2005
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	31	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
On the inequalities of Babuška-Aziz, Friedrichs and Horgan-Payne. Zbl 1329.35019 Costabel, Martin; Dauge, Monique	27	2015
Construction of corner singularities for Agmon-Douglis-Nirenberg elliptic systems. Zbl 0802.35032 Costabel, Martin; Dauge, Monique	27	1993
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	26	1998
Crack singularities for general elliptic systems. Zbl 1094.35038 Costabel, Martin; Dauge, Monique	26	2002
Plane waveguides with corners in the small angle limit. Zbl 1278.81098 Dauge, Monique; Raymond, Nicolas	25	2012
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	23	1999
Algebraic convergence for anisotropic edge elements in polyhedral domains. Zbl 1116.78020 Buffa, A.; Costabel, M.; Dauge, M.	23	2005
The influence of lateral boundary conditions on the asymptotics in thin elastic plates. Zbl 0958.74034 Dauge, Monique; Gruais, Isabelle; Rössle, Andreas	22	2000
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
Asymptotics of arbitrary order for a thin elastic clamped plate. I: Optimal error estimates. Zbl 0856.73029 Dauge, Monique; Gruais, Isabelle	19	1996
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
Discrete compactness for the \(hp\) version of rectangular edge finite elements. Zbl 1122.65110 Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek	17	2006
Singularities of Maxwell’s equations on polyhedral domains. Zbl 0904.35089 Costabel, M.; Dauge, M.	16	1998
Eigenvalues variation. II: Multidimensional problems. Zbl 0807.34033 Dauge, Monique; Helffer, Bernard	16	1993
Fast semi-analytic computation of elastic edge singularities. Zbl 1013.74078 Costabel, Martin; Dauge, Monique; Lafranche, Yvon	15	2001
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
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
Singularities of corner problems and problems of corner singularities. Zbl 0921.35048 Dauge, Monique	14	1999
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
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
General edge asymptotics of solutions of second-order elliptic boundary value problems. II. Zbl 0791.35033 Costabel, Martin; Dauge, Monique	14	1993
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
On representation formulas and radiation conditions. Zbl 0876.35021 Costabel, Martin; Dauge, Monique	13	1997
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
Mellin analysis of weighted Sobolev spaces with nonhomogeneous norms on cones. Zbl 1196.46024 Costabel, Martin; Dauge, Monique; Nicaise, Serge	13	2010
Oblique derivative and interface problems on polygonal domains and networks. Zbl 0727.35037 Dauge, Monique; Nicaise, Serge	13	1989
Anisotropic regularity results for Laplace and Maxwell operators in a polyhedron. Zbl 1113.78300 Buffa, Annalisa; Costabel, Martin; Dauge, Monique	12	2003
Trace liftings which preserve polynomials. (Relèvements de traces préservant les polynômes.) Zbl 0755.65103 Bernardi, Christine; Dauge, Monique; Maday, Yvon	12	1992
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
Quantum waveguides with corners. Zbl 1357.81100 Dauge, Monique; Lafranche, Yvon; Raymond, Nicolas	12	2012
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
Computation of corner singularities in linear elasticity. Zbl 0822.35040 Costabel, Martin; Dauge, Monique	11	1995
Regularité Gevrey pour le problème de Dirichlet dans des domaines à singularités coniques. Zbl 0573.35024 Bolley, Pierre; Dauge, Monique; Camus, Jacques	11	1985
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
Stable asymptotics for elliptic systems on plane domains with corners. Zbl 0814.35024 Costabel, Martin; Dauge, Monique	11	1994
The inf-sup constant for the divergence on corner domains. Zbl 1309.65131 Costabel, Martin; Crouzeix, Michel; Dauge, Monique; Lafranche, Yvon	11	2015
Continuity properties of the inf-sup constant for the divergence. Zbl 1339.35230 Bernardi, Christine; Costabel, Martin; Dauge, Monique; Girault, Vivette	11	2016
Weighted analytic regularity in polyhedra. Zbl 1352.35024 Costabel, Martin; Dauge, Monique; Nicaise, Serge	11	2014
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	10	1997
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	10	1988
Corner singularities of Maxwell interface and eddy current problems. Zbl 1054.35100 Costabel, Martin; Dauge, Monique; Nicaise, Serge	10	2004
Error estimates on the coefficients obtained by the singular function method. Zbl 0705.65079 Bourlard, Maryse; Dauge, Monique; Nicaise, Serge	10	1989
On the influence of the geometry on skin effect in electromagnetism. Zbl 1225.78003 Caloz, Gabriel; Dauge, Monique; Faou, Erwan; Péron, Victor	10	2011
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
Numerical approximation of the spectra of non-compact operators arising in buckling problems. Zbl 1099.74545 Dauge, M.; Suri, M.	10	2002
Ground state energy of the magnetic Laplacian on corner domains. Zbl 1368.81072 Bonnaillie-Noël, Virginie; Dauge, Monique; Popoff, Nicolas	10	2016
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
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
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
Weighted regularization of Maxwell equations: computations in curvilinear polygons. Zbl 1057.78011 Costabel, M.; Dauge, M.; Martin, Daniel; Vial, G.	6	2003
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
Strongly elliptic problems near cuspidal points and edges. Zbl 0853.35018 Dauge, Monique	6	1996
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
The lifting of polynomial traces revisited. Zbl 1227.46026 Bernardi, Christine; Dauge, Monique; Maday, Yvon	6	2010
On the asymptotic behaviour of the discrete spectrum in buckling problems for thin plates. Zbl 1100.35107 Dauge, Monique; Suri, Manil	6	2006
Numerical approximation of a singularly perturbed contact problem. Zbl 0955.74048 Costabel, Martin; Dauge, Monique; Suri, Manil	5	1998
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
Numerical investigation of a boundary penalization method for Maxwell equations. Zbl 0980.78011 Costabel, M.; Dauge, M.; Martin, D.	4	2000
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
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
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
Maxwell eigenmodes in product domains. Zbl 1445.78001 Costabel, Martin; Dauge, Monique	4	2019
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
Full asymptotic expansions for thin elastic free plates. Zbl 0916.73021 Dauge, Monique; Djurdjevic, Ivica; Rössle, Andreas	3	1998
Free vibrations of axisymmetric shells: parabolic and elliptic cases. Zbl 1374.74088 Chaussade-Beaudouin, Marie; Dauge, Monique; Faou, Erwan; Yosibash, Zohar	3	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
Stability analysis of a simple discretization method for a class of strongly singular integral equations. Zbl 1534.45006 Costabel, Martin; Dauge, Monique; Nedaiasl, Khadijeh	1	2023
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	2	2020
Maxwell eigenmodes in product domains. Zbl 1445.78001 Costabel, Martin; Dauge, Monique	4	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	42	2015
On the inequalities of Babuška-Aziz, Friedrichs and Horgan-Payne. Zbl 1329.35019 Costabel, Martin; Dauge, Monique	27	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
On the influence of the geometry on skin effect in electromagnetism. Zbl 1225.78003 Caloz, Gabriel; Dauge, Monique; Faou, Erwan; Péron, Victor	10	2011
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
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	13	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	35	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	12	2003
Weighted regularization of Maxwell equations: computations in curvilinear polygons. Zbl 1057.78011 Costabel, M.; Dauge, M.; Martin, Daniel; Vial, G.	6	2003
Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements. Zbl 1019.78009 Costabel, Martin; Dauge, Monique	124	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	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	157	2000
The influence of lateral boundary conditions on the asymptotics in thin elastic plates. Zbl 0958.74034 Dauge, Monique; Gruais, Isabelle; Rössle, Andreas	22	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	152	1999
Spectral methods for axisymmetric domains. Numerical algorithms and tests due to Mejdi Azaïez. Zbl 0929.35001 Bernardi, Christine; Dauge, Monique; Maday, Yvon	105	1999
Maxwell and Lamé eigenvalues on polyhedra. Zbl 0918.35096 Costabel, Martin; Dauge, Monique	58	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	23	1999
Singularities of corner problems and problems of corner singularities. Zbl 0921.35048 Dauge, Monique	14	1999
Eigenmode asymptotics in thin elastic plates. Zbl 0966.74027 Dauge, M.; Djurdjevic, I.; Faou, E.; Rössle, A.	13	1999
Vector potentials in three-dimensional non-smooth domains. Zbl 0914.35094 Amrouche, C.; Bernardi, C.; Dauge, M.; Girault, V.	458	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	26	1998
Singularities of Maxwell’s equations on polyhedral domains. Zbl 0904.35089 Costabel, M.; Dauge, M.	16	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	3	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	10	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	31	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	19	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	64	1993
Construction of corner singularities for Agmon-Douglis-Nirenberg elliptic systems. Zbl 0802.35032 Costabel, Martin; Dauge, Monique	27	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
...and 25 more Documents

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Cited by 2,316 Authors

82	Nicaise, Serge
53	Dauge, Monique
48	Brenner, Susanne Cecelia
44	Ciarlet, Patrick jun.
39	Sung, Li-Yeng
37	Nazarov, Sergeĭ Aleksandrovich
32	Hiptmair, Ralf
29	Bernardi, Christine
28	Costabel, Martin
26	Schwab, Christoph
25	Helffer, Bernard
25	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	Apel, Thomas
15	Chorfi, Nejmeddine
15	Wendland, Wolfgang L.
14	Assous, Franck
14	Chaumont-Frelet, Théophile
14	Guermond, Jean-Luc
14	Li, Jichun
14	Pan, Xingbin
14	Schötzau, Dominik
14	Vial, Grégory
13	Kachmar, Ayman
13	Nkemzi, Boniface
13	Pankrashkin, Konstantin
13	Rukavishnikov, Viktor Anatol’evich
13	Spence, Euan A.
13	Yousept, Irwin
12	Bi, Hai
12	Bramble, James H.
12	Claeys, Xavier
12	Düster, Alexander
12	Huang, Xuehai
12	Musolino, Paolo
12	Pasciak, Joseph E.
12	Péron, Victor
12	Rehberg, Joachim
12	Stevenson, Rob P.
12	Yang, Yidu
12	Yosibash, Zohar
11	Alonso Rodríguez, Ana
11	Carstensen, Carsten
11	Chesnel, Lucas
11	Guo, Ben-Yu
11	Kang, Tong
11	Kweon, Jae Ryong
11	Mao, Shipeng
11	Meddahi, Salim
11	Perugia, Ilaria
11	Qiu, Weifeng
11	Tordeux, Sébastien
10	Bermúdez, Alfredo
10	Bonnet-Ben Dhia, Anne-Sophie
10	Cui, Jintao
10	Fournais, Søren
10	Gatica, Gabriel N.
10	Girault, Vivette
10	Gopalakrishnan, Jay
10	Li, Buyang
10	Otárola, Enrique
10	Pauly, Dirk
10	Rank, Ernst
10	Rossmann, Jürgen
10	Salgado, Abner J.
10	Stephan, Ernst Peter
10	Valli, Alberto
10	Venegas, Pablo
9	Creusé, Emmanuel
9	Dambrine, Marc
9	Gallistl, Dietmar
9	Hecht, Frédéric
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
9	Salgado, Pilar
8	Babuška, Ivo
8	Bacuta, Constantin
8	Badia, Santiago
8	Beirão da Veiga, Lourenço
8	Ben Belgacem, Faker
8	Boffi, Daniele
8	Cockburn, Bernardo
8	Ding, Qianqian
8	Ern, Alexandre
8	Heuer, Norbert
8	Huang, Jianguo
8	Huang, Yunqing
8	Joly, Patrick
...and 2,216 more Authors

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Cited in 295 Serials

102	Mathematics of Computation
98	Computers & Mathematics with Applications
96	Computer Methods in Applied Mechanics and Engineering
89	Journal of Computational and Applied Mathematics
88	Mathematical Methods in the Applied Sciences
85	Numerische Mathematik
63	Journal of Scientific Computing
61	SIAM Journal on Numerical Analysis
60	M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
60	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
42	Numerical Methods for Partial Differential Equations
40	Applied Numerical Mathematics
35	Journal of Differential Equations
30	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	Archive for Rational Mechanics and Analysis
21	Communications in Partial Differential Equations
20	SIAM Journal on Scientific Computing
19	Journal de Mathématiques Pures et Appliquées. Neuvième Série
19	M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
18	Applicable Analysis
18	Calcolo
18	Advances in Computational Mathematics
18	Computational Methods in Applied Mathematics
17	Journal of Mathematical Physics
17	International Journal for Numerical Methods in Engineering
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	Engineering Analysis with Boundary Elements
14	Journal of Mathematical Fluid Mechanics
13	Journal of Spectral Theory
12	Computational Optimization and Applications
11	Calculus of Variations and Partial Differential Equations
11	Foundations of Computational Mathematics
11	Journal of Numerical Mathematics
11	Boundary Value Problems
10	Inverse Problems
10	Numerical Functional Analysis and Optimization
9	BIT
9	SIAM Journal on Control and Optimization
9	RAIRO. Modélisation Mathématique et Analyse Numérique
9	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
9	Numerical Linear Algebra with Applications
9	European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
8	Transactions of the American Mathematical Society
8	Zeitschrift für Analysis und ihre Anwendungen
8	Applied Mathematics Letters
8	SIAM Journal on Applied Mathematics
8	St. Petersburg Mathematical Journal
8	ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
8	Discrete and Continuous Dynamical Systems. Series S
8	Science China. Mathematics
7	Computing
7	Mathematical and Computer Modelling
7	Asymptotic Analysis
7	Applications of Mathematics
7	Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7	Discrete and Continuous Dynamical Systems
7	Multiscale Modeling & Simulation
6	Communications in Mathematical Physics
6	Wave Motion
6	Mathematical Problems in Engineering
6	Abstract and Applied Analysis
6	Differential Equations
6	Communications in Computational Physics
5	Computers and Fluids
5	Reviews in Mathematical Physics
5	Functional Analysis and its Applications
5	Mathematics and Computers in Simulation
5	Mathematische Zeitschrift
5	Quarterly of Applied Mathematics
5	The Journal of Geometric Analysis
5	Numerical Algorithms
5	Mathematics and Mechanics of Solids
5	European Journal of Mechanics. A. Solids
5	Nonlinear Analysis. Real World Applications
5	Communications on Pure and Applied Analysis
5	International Journal of Numerical Analysis and Modeling
5	International Journal of Fracture
5	S\(\vec{\text{e}}\)MA Journal
5	Evolution Equations and Control Theory
4	Journal d’Analyse Mathématique
4	Letters in Mathematical Physics
4	Annales de l’Institut Fourier
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
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Cited in 53 Fields

1,429	Partial differential equations (35-XX)
1,188	Numerical analysis (65-XX)
470	Optics, electromagnetic theory (78-XX)
431	Fluid mechanics (76-XX)
334	Mechanics of deformable solids (74-XX)
137	Calculus of variations and optimal control; optimization (49-XX)
122	Operator theory (47-XX)
91	Global analysis, analysis on manifolds (58-XX)
78	Quantum theory (81-XX)
72	Functional analysis (46-XX)
69	Statistical mechanics, structure of matter (82-XX)
43	Potential theory (31-XX)
43	Integral equations (45-XX)
42	Approximations and expansions (41-XX)
35	Ordinary differential equations (34-XX)
24	Classical thermodynamics, heat transfer (80-XX)
23	Systems theory; control (93-XX)
22	Harmonic analysis on Euclidean spaces (42-XX)
18	Differential geometry (53-XX)
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10	Geophysics (86-XX)
9	Special functions (33-XX)
8	Information and communication theory, circuits (94-XX)
7	Dynamical systems and ergodic theory (37-XX)
6	Linear and multilinear algebra; matrix theory (15-XX)
5	Functions of a complex variable (30-XX)
5	Several complex variables and analytic spaces (32-XX)
5	Relativity and gravitational theory (83-XX)
5	Astronomy and astrophysics (85-XX)
4	Mechanics of particles and systems (70-XX)
3	General and overarching topics; collections (00-XX)
3	Combinatorics (05-XX)
3	Number theory (11-XX)
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3	Convex and discrete geometry (52-XX)
3	Operations research, mathematical programming (90-XX)
2	History and biography (01-XX)
2	Category theory; homological algebra (18-XX)
2	Group theory and generalizations (20-XX)
2	Topological groups, Lie groups (22-XX)
2	Measure and integration (28-XX)
2	Manifolds and cell complexes (57-XX)
1	Associative rings and algebras (16-XX)
1	Difference and functional equations (39-XX)
1	Abstract harmonic analysis (43-XX)
1	Geometry (51-XX)
1	Algebraic topology (55-XX)
1	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1	Mathematics education (97-XX)

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