Martin Costabel

Institut de recherche mathématique de Rennes — France

Computer Science · Physical Sciences

41h-index6.6kcitations147works0.52yr avg
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Research Topics

Advanced Mathematical Modeling in Engineering(68), Numerical methods in engineering(64), Advanced Numerical Methods in Computational Mathematics(53), Numerical methods in inverse problems(42), Electromagnetic Scattering and Analysis(30)

Publications147 total

Estimates for harmonic functions near pseudo-corners
arXiv (Cornell University)·2025Open Access
Dirichlet problem on perturbed conical domains via converging generalized power series
Journal of Differential Equations·2025· 1 citedOpen Access
Stability Analysis of a Simple Discretization Method for a Class of Strongly Singular Integral Equations
Integral Equations and Operator Theory·2023· 1 citedOpen Access
Convergence of a simple discretization of the finite Hilbert transformation
Computers & Mathematics with Applications·2023Open Access
Convergence of a simple discretization of the finite Hilbert transformation
arXiv (Cornell University)·2023Open Access
Stability Analysis of a Simple Discretization Method for a Class of Strongly Singular Integral Equations
arXiv (Cornell University)·2023Open Access
Characterization of Sobolev spaces by their Fourier coefficients in axisymmetric domains
CALCOLO·2023· 1 citedOpen Access
On the limit Sobolev regularity for Dirichlet and Neumann problems on Lipschitz domains
Mathematische Nachrichten·2019· 1 citedOpen Access
6. Maxwell eigenmodes in product domains
2019· 6 cited
Maxwell eigenmodes in product domains
arXiv (Cornell University)·2018· 3 citedOpen Access
Time‐Dependent Problems with the Boundary Integral Equation Method
2017· 126 cited
On the limit Sobolev regularity for Dirichlet and Neumann problems on Lipschitz domains
arXiv (Cornell University)·2017· 21 citedOpen Access
Inequalities of Babuška–Aziz and Friedrichs–Velte for Differential Forms
Operator theory·2017· 3 citedOpen Access
Volume integral equations for electromagnetic scattering in two dimensions
Computers & Mathematics with Applications·2015· 17 citedOpen Access
On the Inequalities of Babuška–Aziz, Friedrichs and Horgan–Payne
Archive for Rational Mechanics and Analysis·2015· 33 citedOpen Access
Edge stress intensity functions in polyhedral domains and their extraction by a quasidual function method
2015
On the Spectrum of Volume Integral Operators in Acoustic Scattering
2015· 13 citedOpen Access
Discrete compactness for the hp version of rectangular edge finite elements
2014Open Access
Polynomial extension operators for H1, H(curl) and H(div)-spaces on a cube
2014· 7 citedOpen Access
The inf‐sup constant for the divergence on corner domains
Numerical Methods for Partial Differential Equations·2014· 16 citedOpen Access
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Frequent Co-authors

Monique Dauge(25), Ernst P. Stephan(9), Annalisa Buffa(3), Serge Nicaise(2), Serge Nicaise(2), Éric Darrigrand(2), Zohar Yosibash(2), Daniele Boffi(2), Leszek Demkowicz(2), Frédérique Le Louër(2), Dongwoo Sheen(1), C. Schwab(1), Francisco‐Javier Sayas(1), Christoph Schwab(1), Roland Duduchava(1), Gabriel Caloz(1), Grégory Vial(1), El Hadji Koné(1), Netta Omer(1), Hamdi Sakly(1)