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The essential spectrum of the volume integral operator in electromagnetic scattering by a homogeneous body

Martin Costabel , Eric Darrigrand , Hamdi Sakly
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2012, 350, pp.193-197. ⟨10.1016/j.crma.2012.01.017⟩
Article dans une revue hal-00646229v2
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Polynomial extension operators for H1, Hcurl and Hdiv - spaces on a cube

Martin Costabel , Monique Dauge , Leszek Demkowicz
Mathematics of Computation, 2008, 77 (264), pp.1967-1999
Article dans une revue hal-00163158v2
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Some historical remarks on the positivity of boundary integral operators

Martin Costabel
Schanz, Martin; Steinbach, Olaf. Boundary Element Analysis - Mathematical Aspects and Applications, Springer, pp.1-27, 2007, Series: Lecture Notes in Applied and Computational Mechanics Vol. 29
Chapitre d'ouvrage hal-00022885v1
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Discrete compactness for the p-version of discrete differential forms

Daniele Boffi , Martin Costabel , Monique Dauge , Leszek Demkowicz , Ralf Hiptmair
SIAM Journal on Numerical Analysis, 2011, 49 (1), pp.135-158. ⟨10.1137/090772629⟩
Article dans une revue hal-00420150v4
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On the Kleinman-Martin integral equation method for electromagnetic scattering by a dielectric body

Martin Costabel , Frédérique Le Louër
SIAM Journal on Applied Mathematics, 2011, 71 (2), pp.635-656. ⟨10.1137/090779462⟩
Article dans une revue hal-00439221v2
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On Friedrichs constant and Horgan-Payne angle for LBB condition

Monique Dauge , Christine Bernardi , Martin Costabel , Vivette Girault
Monografías Matemáticas García de Galdeano, 39, pp.222, 2014, Twelfth International Conference Zaragoza-Pau on Mathematics, ISBN: 978-84-16028-35-1
Chapitre d'ouvrage hal-00797642v1
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Edge Stress Intensity Functions in Polyhedral Domains and their Extraction by a Quasidual Function Method

Zohar Yosibash , Netta Omer , Martin Costabel , Monique Dauge
International Journal of Fracture, 2005, 136 (1-4), pp.37--73
Article dans une revue hal-00012184v1
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Analytic Regularity for Linear Elliptic Systems in Polygons and Polyhedra

Martin Costabel , Monique Dauge , Serge Nicaise
Mathematical Models and Methods in Applied Sciences, 2012, 22 (8), 63 p. ⟨10.1142/S0218202512500157⟩
Article dans une revue hal-00454133v3
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Weighted analytic regularity in polyhedra

Martin Costabel , Monique Dauge , Serge Nicaise
Computers & Mathematics with Applications, 2014, 67 (4), pp.807-817. ⟨10.1016/j.camwa.2013.03.006⟩
Article dans une revue hal-00735620v2
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Shape derivatives of boundary integral operators in electromagnetic scattering. Part II : Application to scattering by a homogeneous dielectric obstacle

Martin Costabel , Frédérique Le Louër
Integral Equations and Operator Theory, 2012, 73 (1), pp.17-48. ⟨10.1007/s00020-012-1955-y⟩
Article dans une revue hal-00592282v2
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The inf-sup constant for the divergence on corner domains

Martin Costabel , Michel Crouzeix , Monique Dauge , Yvon Lafranche
Numerical Methods for Partial Differential Equations, 2015, 31 (2), pp.439-458. ⟨10.1002/num.21916⟩
Article dans une revue hal-00947143v2
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On the limit Sobolev regularity for Dirichlet and Neumann problems on Lipschitz domains

Martin Costabel
Mathematical News / Mathematische Nachrichten, 2019, 292 (10), pp.2165-2173. ⟨10.1002/mana.201800077⟩
Article dans une revue hal-01638088v2
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Potential maps, Hardy spaces, and tent spaces on special Lipschitz domains

Martin Costabel , Alan Mcintosh , Robert Taggart
Publicacions Matemàtiques, 2013, 57 (2), pp.295-331. ⟨10.5565/PUBLMAT_57213_02⟩
Article dans une revue hal-00490854v1
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On Bogovskii and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains

Martin Costabel , Alan Mcintosh
Mathematische Zeitschrift, 2010, 265 (2), pp.297-320. ⟨10.1007/s00209-009-0517-8⟩
Article dans une revue hal-00311594v2

Analysis of Boundary Element Methods

Martin Costabel , Ernst Peter Stephan
Oberwolfach Reports, 2008, 5 (2), pp.953-1030. ⟨10.4171/OWR/2008/19⟩
Article dans une revue hal-00687054v1
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Inequalities of Babuška-Aziz and Friedrichs-Velte for differential forms

Martin Costabel
Vladimir Maz'ya; David Natroshvili; Eugene Shargorodsky; Wolfgang L. Wendland. Recent Trends in Operator Theory and Partial Differential Equations, 258, Springer, pp.79-88, 2017, Operator Theory: Advances and Applications, 978-3-319-47077-1. ⟨10.1007/978-3-319-47079-5_4⟩
Chapitre d'ouvrage hal-01181963v1

On domain derivatives of the solution to the electromagnetic transmission problem

Frédérique Le Louër , Martin Costabel
Oberwolfach Reports, 2008, 5 (2), pp.967-969
Article dans une revue hal-00719335v1
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Analysis of crack singularities in an aging elastic material

Martin Costabel , Monique Dauge , Sergei A. Nazarov , Jan Sokolowski
ESAIM: Mathematical Modelling and Numerical Analysis, 2006, 40 (3), pp.553-595. ⟨10.1051/m2an:2006022⟩
Article dans une revue hal-00012082v1
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On the inequalities of Babuška-Aziz, Friedrichs and Horgan-Payne

Martin Costabel , Monique Dauge
Archive for Rational Mechanics and Analysis, 2015, 217 (3), pp.873-898. ⟨10.1007/s00205-015-0845-2⟩
Article dans une revue hal-00804385v2
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CONVERGENCE OF A SIMPLE DISCRETIZATION OF THE FINITE HILBERT TRANSFORMATION

Martin Costabel
Computers & Mathematics with Applications, 2023, 150, pp.15-21. ⟨10.1016/j.camwa.2023.09.004⟩
Article dans une revue hal-04043771v2
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A fast semi-analytic method for the computation of elastic edge singularities

Martin Costabel , Monique Dauge , Yvon Lafranche
Computer Methods in Applied Mechanics and Engineering, 2001, 190, pp.2111--2134
Article dans une revue hal-00276711v1
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Continuity properties of the inf-sup constant for the divergence

Christine Bernardi , Martin Costabel , Monique Dauge , Vivette Girault
SIAM Journal on Mathematical Analysis, 2016, 48 (2), pp.1250-1271. ⟨10.1137/15M1044989⟩
Article dans une revue hal-01215296v3
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On the Spectrum of Volume Integral Operators in Acoustic Scattering

M Costabel
C. Constanda, A. Kirsch. Integral Methods in Science and Engineering, Birkhäuser, pp.119-127, 2015, 978-3-319-16726-8. ⟨10.1007/978-3-319-16727-5_11⟩
Chapitre d'ouvrage hal-01098834v2
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Corner Singularities and Analytic Regularity for Linear Elliptic Systems. Part I: Smooth domains.

Martin Costabel , Monique Dauge , Serge Nicaise
2010
Pré-publication, Document de travail hal-00453934v2
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Volume integral equations for electromagnetic scattering in two dimensions

Martin Costabel , Eric Darrigrand , Hamdi Sakly
Computers & Mathematics with Applications, 2015, 70 (8), pp.2087-2101. ⟨10.1016/j.camwa.2015.08.026⟩
Article dans une revue hal-01145730v2
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Stability Analysis of a Simple Discretization Method for a Class of Strongly Singular Integral Equations

Martin Costabel , Monique Dauge , Khadijeh Nedaiasl
Integral Equations and Operator Theory, 2023, 95 (4), pp.29. ⟨10.1007/s00020-023-02750-7⟩
Article dans une revue hal-04004998v3
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Converging expansions for Lipschitz self-similar perforations of a plane sector

Martin Costabel , Matteo Dalla Riva , Monique Dauge , Paolo Musolino
Integral Equations and Operator Theory, 2017, 88 (3), pp.401-449. ⟨10.1007/s00020-017-2377-7⟩
Article dans une revue hal-01482187v2

On the inf-sup constant of the divergence alias LBB constant

Martin Costabel , Monique Dauge
Computational Electromagnetism and Acoustics, Jan 2013, Oberwolfach, Germany. pp.169-172
Communication dans un congrès hal-01075442v1

p version edge element approximation of the Maxwell eigenvalue problem

Martin Costabel , Daniele Boffi , Monique Dauge , Leszek Demkowicz , Ralf Hiptmair , et al.
Oberwolfach Reports, 2010, 7 (1), pp.443-445. ⟨10.4171/OWR/2010/10⟩
Article dans une revue hal-00719320v1
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Circular edge singularities for the Laplace equation and the elasticity system in 3-D domains

Zohar Yosibash , Samuel Shannon , Monique Dauge , Martin Costabel
International Journal of Fracture, 2011, 168, pp.31-52. ⟨10.1007/s10704-010-9553-y⟩
Article dans une revue hal-00490971v2