Monique Dauge
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Thèse Université de Nantes 1980
Why Is Monique Dauge Influential?
(Suggest an Edit or Addition)According to Wikipedia, Monique Dauge is a French mathematician and numerical analyst specializing in partial differential equations, spectral theory, and applications to scientific computing. She is an emeritus senior researcher at the French National Centre for Scientific Research , associated with the University of Rennes 1.
Monique Dauge's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Vector potentials in three-dimensional non-smooth domains (1998) (819)
- Elliptic boundary value problems on corner domains (1988) (746)
- Elliptic Boundary Value Problems on Corner Domains: Smoothness and Asymptotics of Solutions (1988) (643)
- Singularities of Electromagnetic Fields¶in Polyhedral Domains (2000) (346)
- Stationary Stokes and Navier-Stokes systems on two-or three-dimensional domains with corners (1989) (291)
- Singularities of Maxwell interface problems (1999) (287)
- Weighted regularization of Maxwell equations in polyhedral domains (2002) (247)
- Spectral Methods for Axisymmetric Domains (1999) (218)
- Neumann and mixed problems on curvilinear polyhedra (1992) (173)
- Eigenvalues Variation. I.: Neumann Problem for Sturm-Liouville Operators (1993) (139)
- Maxwell and Lamé eigenvalues on polyhedra (1999) (129)
- Corner Singularities and Analytic Regularity for Linear Elliptic Systems. Part I: Smooth domains. (2010) (97)
- EXPONENTIAL CONVERGENCE OF hp-FEM FOR MAXWELL EQUATIONS WITH WEIGHTED REGULARIZATION IN POLYGONAL DOMAINS (2005) (93)
- Coefficients of the singularities for elliptic boundary value problems on domains with conical points. III: finite element methods on polygonal domains (1992) (89)
- Theoretical and Numerical Investigation of the Finite Cell Method (2015) (85)
- Asymptotics Without Logarithmic Terms for Crack Problems (2003) (84)
- ANALYTIC REGULARITY FOR LINEAR ELLIPTIC SYSTEMS IN POLYGONS AND POLYHEDRA (2010) (83)
- Asymptotics of arbitrary order for a thin elastic clamped plate (1996) (76)
- General edge asymptotics of solutions of second-order elliptic boundary value problems I (1993) (73)
- Crack Singularities for General Elliptic Systems (2002) (72)
- Asymptotics for the Low-Lying Eigenstates of the Schrödinger Operator with Magnetic Field near Corners (2006) (71)
- Asymptotic expansion of the solution of an interface problem in a polygonal domain with thin layer (2006) (70)
- Computation of resonance frequencies for Maxwell equations in non-smooth domains (2003) (68)
- Construction of Corner Singularities for Agmon‐Douglis‐Nirenberg Elliptic Systems (1993) (63)
- Singularities of eddy current problems (2003) (63)
- A Quasi-Dual Function Method for Extracting Edge Stress Intensity Functions (2004) (59)
- A singularly perturbed mixed boundary value problem (1996) (58)
- The Influence of Lateral Boundary Conditions on the Asymptotics in Thin Elastic Plates (1999) (56)
- On the Inequalities of Babuška–Aziz, Friedrichs and Horgan–Payne (2013) (52)
- Invertibility of the biharmonic single layer potential operator (1996) (51)
- Polynomials in the Sobolev World (2007) (50)
- Edge Stress Intensity Functions in Polyhedral Domains and their Extraction by a Quasidual Function Method (2004) (48)
- Computations of the first eigenpairs for the Schrödinger operator with magnetic field (2007) (43)
- Plane waveguides with corners in the small angle limit (2012) (43)
- Selfsimilar Perturbation near a Corner: Matching Versus Multiscale Expansions for a Model Problem (2010) (42)
- EIGENMODE ASYMPTOTICS IN THIN ELASTIC PLATES (1999) (42)
- Discrete spectrum of a model Schrödinger operator on the half-plane with Neumann conditions (2012) (42)
- Discrete Compactness for the hp Version of Rectangular Edge Finite Elements (2006) (41)
- Algebraic convergence for anisotropic edge elements in polyhedral domains (2005) (38)
- Koiter Estimate Revisited (2010) (37)
- Stable Asymptotics for Elliptic Systems on Plane Domains with Corners (1994) (37)
- Fast semi-analytic computation of elastic edge singularities (2001) (36)
- Discrete Compactness for the p-Version of Discrete Differential Forms (2009) (35)
- Edge flux intensity functions in polyhedral domains and their extraction by a quasidual function method (2004) (34)
- Sparse Tensor Product Wavelet Approximation of Singular Functions (2010) (32)
- Plates and Shells: Asymptotic Expansions and Hierarchic Models (2004) (32)
- Weyl's formula for a class of pseudodifferential operators with negative order on L2(Rn) (1987) (31)
- Anisotropic regularity results for Laplace and Maxwell operators in a polyhedron (2003) (29)
- Quantum waveguides with corners (2011) (26)
- Polynomial extension operators for H1, H(curl) and H(div)-spaces on a cube (2007) (25)
- On Representation Formulas and Radiation Conditions (1997) (24)
- Boundary layer realization in thin elastic three-dimensional domains and two-dimensional Hierarchic plate models (2000) (24)
- Singularities of Corner Problems and Problems of Corner Singularities (1999) (23)
- Numerical approximation of the spectra of non-compact operators arising in buckling problems (2002) (23)
- Spectral asymptotics of the Dirichlet Laplacian in a conical layer (2014) (22)
- Corner Singularities of Maxwell Interface and Eddy Current Problems (2004) (22)
- Ground state energy of the magnetic Laplacian on general three-dimensional corner domains (2014) (21)
- Eigenvalues variation. II: Multidimensional problems (1993) (20)
- Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism (2009) (20)
- Error estimates on the coeficients obtained by the singular function method (1989) (20)
- The inf‐sup constant for the divergence on corner domains (2014) (19)
- Mellin analysis of weighted Sobolev spaces with nonhomogeneous norms on cones (2010) (19)
- Oblique derivative and interface problems on polygonal domains and networks (1989) (18)
- Non-coercive transmission problems in polygonal domains. -- Problèmes de transmission non coercifs dans des polygones (2011) (18)
- Plates and Shells: Asymptotic Expansions and Hierarchical Models (2017) (18)
- Matching and multiscale expansions for a model singular perturbation problem (2006) (18)
- Continuity Properties of the Inf-Sup Constant for the Divergence (2015) (17)
- Extracting generalized edge flux intensity functions with the quasidual function method along circular 3-D edges (2013) (15)
- Weighted analytic regularity in polyhedra (2014) (14)
- Circular edge singularities for the Laplace equation and the elasticity system in 3-D domains (2011) (14)
- On the influence of the geometry on skin effect in electromagnetism (2010) (14)
- On the asymptotic behaviour of the discrete spectrum in buckling problems for thin plates (2006) (13)
- Converging Expansions for Lipschitz Self-Similar Perforations of a Plane Sector (2017) (13)
- Strongly Elliptic Problems Near Cuspidal Points and Edges (1996) (12)
- Weighted regularization of Maxwell equations: computations in curvilinear polygons (2003) (11)
- Dirichlet Spectrum of the Fichera Layer (2017) (11)
- Corner asymptotics of the magnetic potential in the eddy‐current model (2014) (10)
- Eddy Currents and Corner Singularities (2012) (9)
- Edge Asymptotics on a Skew Cylinder (1992) (9)
- Computation of Corner Singularities in Linear Elasticity (2007) (9)
- Full asymptotic expansions for thin elastic free plates (1998) (9)
- Higher order oblique derivatives problems on polyhedral domains (1989) (8)
- Numerical investigation of a boundary penalization method for Maxwell equations (1999) (8)
- Ground State Energy of the Magnetic Laplacian on Corner Domains (2014) (8)
- The lifting of polynomial traces revisited (2010) (7)
- Magnetic Laplacian in sharp three dimensional cones (2015) (7)
- High Frequency Oscillations of First Eigenmodes in Axisymmetric Shells as the Thickness Tends to Zero (2016) (7)
- Eigen‐frequencies in thin elastic 3‐D domains and Reissner–Mindlin plate models (2002) (7)
- Asymptotics for 2D whispering gallery modes in optical micro-disks with radially varying index (2020) (6)
- Higher order bending and membrane responses of thin linearly elastic plates (1998) (6)
- Numerical approximation of a singularly perturbed contact problem (1998) (6)
- Edge stress intensity functions in 3-D anisotropic composites (2008) (6)
- ON FRIEDRICHS CONSTANT AND HORGAN-PAYNE ANGLE FOR LBB CONDITION (2014) (6)
- Formule de Weyl pour une classe d'opérateurs pseudodifférentiels d'ordre négatif sur $L^2({\mathbb R}^n)$@@@Weyl formula for a class of pseudodifferential operators of negative order on $L^2({\mathbb R}^n))$ (1986) (5)
- Polynomial extension operators for H^1 , boldsymbol{mathit{H}}(mathbf{curl}) and boldsymbol{mathit{H}}(mathbf{div}) -spaces on a cube (2008) (5)
- MAXWELL EIGENMODES IN TENSOR PRODUCT DOMAINS (2006) (5)
- Ground Energy of the Magnetic Laplacian in Polyhedral Bodies (2013) (4)
- hp-FEM for three-dimensional elastic plates (2002) (4)
- Free vibrations of axisymmetric shells: Parabolic and elliptic cases (2016) (3)
- Selfsimilar perturbation near a corner: Matching and Multiscale expansions (2007) (3)
- Study at high frequencies of a stratified waveguide (2001) (3)
- Maxwell eigenmodes in product domains (2019) (3)
- Maxwell and Lam E Eigenvalues on Polyhedra (2007) (3)
- On the semiclassical Laplacian with magnetic field having self-intersecting zero set (2018) (3)
- Edge asymptotics on a skew cylinder: complex variable form (1992) (3)
- Higher‐order responses of three‐dimensional elastic plate structures and their numerical illustration by p‐FEM (2002) (2)
- Boundary value problems and integral equations in nonsmooth domains : proceedings of the conference at the CIRM, Luminy (1995) (2)
- Primal and Shadow functions, Dual and Dual-Shadow functions for a circular crack and a circular 90 o V-notch with Neumann boundary conditions (2012) (2)
- Mathematical analysis of whispering gallery modes in graded index optical micro-disk resonators (2020) (2)
- Analysis of crack singularities in an aging elastic material (2006) (2)
- The Rotation Number for Quantum Integrable Systems (2019) (2)
- Asymptotic Description of the Magnetic Potential near a Corner Singularity in the Bidimensional Eddy-Current Problem (2012) (1)
- Coefficients of the singularities on domains with conical points (1992) (1)
- 6. Maxwell eigenmodes in product domains (2018) (1)
- Characterization of Sobolev spaces by their Fourier coefficients in axisymmetric domains (2020) (1)
- Discrete spectrum of a model Schrödinger operator on the half-plane with Neumann conditions (2011) (1)
- Two-dimensional domains (1988) (1)
- Regularity for Maxwell eigenproblems in photonic crystal fibre modelling (2013) (1)
- Spectral-Fourier Method for Axisymmetric Problems (2011) (1)
- ZOHAR YOSIBASH at laying more rigorous mathematical bases to shell theory see for instance the works of (2017) (1)
- Solvability of a System of Integral Equations for Clamped Plates (1997) (1)
- Skin Effect in Electromagnetism and Asymptotic Behaviour of Skin Depth for High Conductivity (2010) (1)
- Erratum to: Mathematical analysis of whispering gallery modes in graded index optical micro-disk resonators (2020) (1)
- Trace Hardy inequality for the Euclidean space with a cut and its applications (2020) (1)
- Stability Analysis of a Simple Discretization Method for a Class of Strongly Singular Integral Equations (2023) (1)
- Singularities along the edges (1988) (0)
- Eigenpairs of a Model Schrödinger Operator with Neumann Boundary Conditions (2011) (0)
- Skin-Effect Description in Electromagnetism with a Scaled Asymptotic Expansion (2009) (0)
- Mini-Workshop: Mathematical and Numerical Analysis of Maxwell’s Equations (2019) (0)
- Mathematical analysis of whispering gallery modes in graded index optical micro-disk resonators (2020) (0)
- O ct 2 01 8 Maxwell eigenmodes in product domains (2018) (0)
- On the inf-sup constant of the divergence alias LBB constant (2013) (0)
- Regularity for Maxwell eigenproblems in photonic crystal fibre modelling (2014) (0)
- THE DRIVING OF GALLERIES AND THE SURVEYING OF TRANSVERSE PROFILES BY MEANS OF PROFILE PHOTOGRAPHS (1974) (0)
- On the Inequalities of Babuška–Aziz, Friedrichs and Horgan–Payne (2015) (0)
- A Transmission Problem in Electromagnetism with a Singular Interface (2010) (0)
- Variational boundary value problems on smooth domains (1988) (0)
- Maxwell formulations Classical time harmonic (1999) (0)
- Initiation into corner singularities (2016) (0)
- Converging Expansions for Lipschitz Self-Similar Perforations of a Plane Sector (2017) (0)
- Impedance condition close to a corner in eddy-current problems (2011) (0)
- Skin Effect Description in Electromagnetism with a Multiscaled Asymptotic Expansion (2009) (0)
- Variational boundary value problems on polyhedral domains (1988) (0)
- Theoretical and Numerical Investigation of the Finite Cell Method (2015) (0)
- AN INVERSE DIRICHLET PROBLEM FOR THE HELMHOLTZ EQUATION (2007) (0)
- Mathematical investigations of resonances in optical micro-resonators (2018) (0)
- A fast semi-analytic method for the computation of elastic edge singularities (2008) (0)
- Asymptotic lattices, good labellings, and the rotation number for quantum integrable systems (2019) (0)
- 2D electrostatic problems with rounded corners (2011) (0)
- Lamé Eigenvalues on Polyhedra (2007) (0)
- Dirichlet Spectrum of the Fichera Layer (2018) (0)
- Fredholm and semi-Fredholm results (1988) (0)
- EIGENPAIRS OF A MODEL SCHR ¨ ODINGER OPERATOR WITH NEUMANN BOUNDARY CONDITIONS (2011) (0)
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