World's Best Scientists 2026 revealed!

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Mathematics

D-Index
44
Citations
9280
World Ranking
1567
National Ranking
92

Overview

Monique Dauge is affiliated with the University of Rennes in France. Their research integrates fields of engineering and mathematics, contributing notably to electrical and electronic engineering, mathematical physics, atomic and molecular physics, and optics, as well as computational theory and mathematics.

Their work extensively covers advanced mathematical modeling in engineering, numerical methods in inverse problems, advanced fiber laser technologies, photonic and optical devices, spectral theory in mathematical physics, advanced numerical methods in computational mathematics, and electromagnetic scattering and analysis.

Monique Dauge has authored papers published in a variety of scholarly venues. Selected recent works include:

  • Mathematical analysis of whispering gallery modes in graded index optical micro-disk resonators (2020), The European Physical Journal D
  • Asymptotics for 2D whispering gallery modes in optical micro-disks with radially varying index (2021), IMA Journal of Applied Mathematics
  • On the semiclassical Laplacian with magnetic field having self-intersecting zero set (2020), Journal of Spectral Theory
  • Characterization of Sobolev spaces by their Fourier coefficients in axisymmetric domains (2023), CALCOLO
  • Stability Analysis of a Simple Discretization Method for a Class of Strongly Singular Integral Equations (2023), Integral Equations and Operator Theory

Their frequent coauthors include Stéphane Balac, Martin Costabel, Zoïs Moitier, Yannick Dumeige, and Patrice Féron. These collaborations reflect interdisciplinary efforts spanning mathematical analysis and engineering applications.

Monique Dauge's publications appear predominantly in venues such as arXiv (Cornell University), The European Physical Journal D, IMA Journal of Applied Mathematics, Journal of Spectral Theory, and CALCOLO.

Best Publications

  • Elliptic Boundary Value Problems on Corner Domains: Smoothness and Asymptotics of Solutions

    Monique Dauge

  • Vector potentials in three-dimensional non-smooth domains

    C. Amrouche;C. Bernardi;M. Dauge;V. Girault

  • Elliptic boundary value problems on corner domains

    Unknown

  • Singularities of Electromagnetic Fields¶in Polyhedral Domains

    Martin Costabel;Monique Dauge

  • Stationary stokes and Navier-Stokes systems on two-or three-dimensional domains with corners. Part I: linearized equations

    Monique Dauge

  • Singularities of Maxwell interface problems

    Martin Costabel;Monique Dauge;Serge Nicaise

  • Weighted regularization of Maxwell equations in polyhedral domains

    Martin Costabel;Monique Dauge

  • Spectral Methods for Axisymmetric Domains

    Christine Bernardi;Monique Dauge;Yvon Maday

  • Neumann and mixed problems on curvilinear polyhedra

    Monique Dauge

  • Eigenvalues Variation. I.: Neumann Problem for Sturm-Liouville Operators

    M. Dauge;B. Helffer

  • Maxwell and Lamé eigenvalues on polyhedra

    Martin Costabel;Monique Dauge

  • Coefficients of the singularities for elliptic boundary value problems on domains with conical points. III: finite element methods on polygonal domains

    Maryse Bourlard;Monique Dauge;Mbaro-Saman Lubuma;Serge Nicaise

  • EXPONENTIAL CONVERGENCE OF hp-FEM FOR MAXWELL EQUATIONS WITH WEIGHTED REGULARIZATION IN POLYGONAL DOMAINS

    Martin Costabel;Monique Dauge;Christoph Schwab

  • Asymptotic expansion of the solution of an interface problem in a polygonal domain with thin layer

    Gabriel Caloz;Martin Costabel;Monique Dauge;Grégory Vial

  • Theoretical and Numerical Investigation of the Finite Cell Method

    Monique Dauge;Alexander Düster;Ernst Rank

  • Asymptotics Without Logarithmic Terms for Crack Problems

    Martin Costabel;Monique Dauge;Roland Duduchava

  • Crack Singularities for General Elliptic Systems

    Martin Costabel;Monique Dauge

  • Asymptotics for the Low-Lying Eigenstates of the Schrödinger Operator with Magnetic Field near Corners

    Virginie Bonnaillie-Noël;Virginie Bonnaillie-Noël;Monique Dauge

  • Asymptotics of arbitrary order for a thin elastic clamped plate, I. Optimal error estimates

    Monique Dauge;Isabelle Gruais

  • ANALYTIC REGULARITY FOR LINEAR ELLIPTIC SYSTEMS IN POLYGONS AND POLYHEDRA

    Martin Costabel;Monique Dauge;Serge Nicaise

  • Corner Singularities and Analytic Regularity for Linear Elliptic Systems. Part I: Smooth domains.

    Martin Costabel;Monique Dauge;Serge Nicaise

Frequent Co-Authors

Martin Costabel
Martin Costabel University of Rennes
Serge Nicaise
Serge Nicaise University Polytechnic Hauts-de-France
Leszek Demkowicz
Leszek Demkowicz The University of Texas at Austin
Yvon Maday
Yvon Maday Sorbonne University
Daniele Boffi
Daniele Boffi King Abdullah University of Science and Technology
Robert Scheichl
Robert Scheichl Heidelberg University
Bernard Helffer
Bernard Helffer University of Nantes
Annalisa Buffa
Annalisa Buffa École Polytechnique Fédérale de Lausanne
Ralf Hiptmair
Ralf Hiptmair ETH Zurich

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