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Martin Costabel

Martin Costabel

D-Index & Metrics

Mathematics

D-Index
46
Citations
9307
World Ranking
1351
National Ranking
71

Overview

Martin Costabel is affiliated with the University of Rennes in France. Their research spans fields such as Engineering, Mathematics, and Physics and Astronomy, with a particular focus on subfields including Electrical and Electronic Engineering, Atomic and Molecular Physics and Optics, Computational Theory and Mathematics, Numerical Analysis, and Mathematical Physics.

Their work covers several main topics related to advanced numerical and computational methods, notably:

  • Electromagnetic Scattering and Analysis
  • Advanced Mathematical Modeling in Engineering
  • Electromagnetic Simulation and Numerical Methods
  • Numerical methods in inverse problems
  • Microwave and Dielectric Measurement Techniques
  • Numerical methods in engineering
  • Advanced Numerical Methods in Computational Mathematics

Martin Costabel has published in a variety of scientific venues, including:

  • arXiv (Cornell University)
  • CALCOLO
  • Integral Equations and Operator Theory
  • Computers & Mathematics with Applications
  • Journal of Differential Equations

Recent works authored by Costabel include:

  • 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
  • Stability Analysis of a Simple Discretization Method for a Class of Strongly Singular Integral Equations, 2023, arXiv (Cornell University)
  • Convergence of a simple discretization of the finite Hilbert transformation, 2023, arXiv (Cornell University)
  • Convergence of a simple discretization of the finite Hilbert transformation, 2023, Computers & Mathematics with Applications

Frequent collaborators working alongside Costabel include:

  • Monique Dauge
  • Khadijeh Nedaiasl
  • Jun-Qi Hu
  • Маттео Далла Ріва
  • Паоло Мусоліно

Best Publications

  • Boundary Integral Operators on Lipschitz Domains: Elementary Results

    Martin Costabel

  • On traces for H(curl,Ω) in Lipschitz domains

    Annalisa Buffa;M. Costabel;D. Sheen

  • A direct boundary integral equation method for transmission problems

    Martin Costabel;Ernst Stephan

  • Singularities of Electromagnetic Fields¶in Polyhedral Domains

    Martin Costabel;Monique Dauge

  • A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains

    Martin Costabel

  • Symmetric Methods for the Coupling of Finite Elements and Boundary Elements (Invited contribution)

    M. Costabel

  • Singularities of Maxwell interface problems

    Martin Costabel;Monique Dauge;Serge Nicaise

  • Weighted regularization of Maxwell equations in polyhedral domains

    Martin Costabel;Monique Dauge

  • A coercive bilinear form for Maxwell's equations

    Martin Costabel

  • Boundary integral equations for mixed boundary value problems in polygonal domains and Galerkin approximation

    Martin Costabel;Ernst Stephan

  • Time‐Dependent Problems with the Boundary Integral Equation Method

    Martin Costabel

  • BOUNDARY INTEGRAL OPERATORS FOR THE HEAT EQUATION

    Martin Costabel

  • Coupling of finite and boundary element methods for an elastoplastic interface problem

    Martin Costabel;Ernst P. Stephan

  • Boundary element methods for Maxwell's equations on non-smooth domains

    Annalisa Buffa;Martin Costabel;Christoph Schwab

  • On Bogovskiĭ and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains

    Martin Costabel;Alan McIntosh

  • Maxwell and Lamé eigenvalues on polyhedra

    Martin Costabel;Monique Dauge

  • 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

  • Asymptotics Without Logarithmic Terms for Crack Problems

    Martin Costabel;Monique Dauge;Roland Duduchava

  • On Bogovski\u{\i} and regularized Poincar'e integral operators for de Rham complexes on Lipschitz domains

    Martin Costabel;Alan McIntosh

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

    Martin Costabel;Monique Dauge;Serge Nicaise

  • Boundary element methods for Maxwell's equations on non-smooth domains

    Annalisa Buffa;Martin Costabel

Frequent Co-Authors

Monique Dauge
Monique Dauge University of Rennes
Ernst P. Stephan
Ernst P. Stephan University of Hannover
Leszek Demkowicz
Leszek Demkowicz The University of Texas at Austin
Serge Nicaise
Serge Nicaise University Polytechnic Hauts-de-France
Annalisa Buffa
Annalisa Buffa École Polytechnique Fédérale de Lausanne
Alan McIntosh
Alan McIntosh Australian National University
Daniele Boffi
Daniele Boffi King Abdullah University of Science and Technology
Reinhold Schneider
Reinhold Schneider Technical University of Berlin
Wolfgang L. Wendland
Wolfgang L. Wendland University of Stuttgart
Ralf Hiptmair
Ralf Hiptmair ETH Zurich

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