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1

Boundary Integral Operators on Lipschitz Domains: Elementary Results

Costabel, Martin

Journal:

SIAM Journal on Mathematical Analysis

Year:

1988

Language:

english

File:

PDF, 1.22 MB

english, 1988

2

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

Martin Costabel, Eric Darrigrand, Hamdi Sakly

Journal:

Comptes Rendus Mathematique

Year:

2012

Language:

french

File:

PDF, 152 KB

french, 2012

3

Boundary integral operators for the heat equation

Martin Costabel

Journal:

Integral Equations and Operator Theory

Year:

1990

Language:

english

File:

PDF, 2.20 MB

english, 1990

4

Singularities of Electromagnetic Fields¶in Polyhedral Domains

Martin Costabel, Monique Dauge

Journal:

Archive for Rational Mechanics and Analysis

Year:

2000

Language:

english

File:

PDF, 377 KB

english, 2000

5

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

Martin Costabel

Journal:

Mathematical Methods in the Applied Sciences

Year:

1990

Language:

english

File:

PDF, 202 KB

english, 1990

6

A direct boundary integral equation method for transmission problems

Martin Costabel, Ernst Stephan

Journal:

Journal of Mathematical Analysis and Applications

Year:

1985

Language:

english

File:

PDF, 1.97 MB

english, 1985

7

Principles of boundary element methods

Martin Costabel

Journal:

Computer Physics Reports

Year:

1987

Language:

english

File:

PDF, 2.01 MB

english, 1987

8

Un résultat de densité pour les équations de Maxwell

Faker Ben Belgacem, Christine Bernardi, Martin Costabel, Monique Dauge

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1997

Language:

english

File:

PDF, 349 KB

english, 1997

9

An improved boundary element Galerkin method for three-dimensional crack problems

Martin Costabel, Ernst P. Stephan

Journal:

Integral Equations and Operator Theory

Year:

1987

Language:

english

File:

PDF, 1.35 MB

english, 1987

10

Spline collocation for strongly elliptic equations on the torus

Martin Costabel, William McLean

Journal:

Numerische Mathematik

Year:

1992

Language:

english

File:

PDF, 1.10 MB

english, 1992

11

Duality estimates for the numerical solution of integral equations

Martin Costabel, Ernst P. Stephan

Journal:

Numerische Mathematik

Year:

1989

Language:

english

File:

PDF, 639 KB

english, 1989

12

A singular integral operator related to the one-sided Hilbert transformation

Martin Costabel

Journal:

Integral Equations and Operator Theory

Year:

1978

Language:

english

File:

PDF, 415 KB

english, 1978

13

Singular integral operators on curves with corners

Martin Costabel

Journal:

Integral Equations and Operator Theory

Year:

1980

Language:

english

File:

PDF, 805 KB

english, 1980

14

A contribution to the theory of singular integral equations with carleman shift

Martin Costabel

Journal:

Integral Equations and Operator Theory

Year:

1979

Language:

english

File:

PDF, 416 KB

english, 1979

15

Shape Derivatives of Boundary Integral Operators in Electromagnetic Scattering. Part I: Shape Differentiability of Pseudo-homogeneous Boundary Integral Operators

Martin Costabel, Frédérique Le Louër

Journal:

Integral Equations and Operator Theory

Year:

2012

Language:

english

File:

PDF, 346 KB

english, 2012

16

Shape Derivatives of Boundary Integral Operators in Electromagnetic Scattering. Part II: Application to Scattering by a Homogeneous Dielectric Obstacle

Martin Costabel, Frédérique Le Louër

Journal:

Integral Equations and Operator Theory

Year:

2012

Language:

english

File:

PDF, 395 KB

english, 2012

17

On the Kleinman–Martin Integral Equation Method for Electromagnetic Scattering by a Dielectric Body

Costabel, Martin, Louër, Frédérique Le

Journal:

SIAM Journal on Applied Mathematics

Year:

2011

Language:

english

File:

PDF, 285 KB

english, 2011

18

ANALYTIC REGULARITY FOR LINEAR ELLIPTIC SYSTEMS IN POLYGONS AND POLYHEDRA

COSTABEL, MARTIN, DAUGE, MONIQUE, NICAISE, SERGE

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2012

Language:

english

File:

PDF, 846 KB

english, 2012

19

On the Inequalities of Babuška–Aziz, Friedrichs and Horgan–Payne

Costabel, Martin, Dauge, Monique

Journal:

Archive for Rational Mechanics and Analysis

Year:

2015

Language:

english

File:

PDF, 390 KB

english, 2015

20

A Singularly mixed boundary value problem

Martin, Costabel, Monique, Dauge

Journal:

Communications in Partial Differential Equations

Year:

1996

Language:

english

File:

PDF, 1.02 MB

english, 1996

21

On the limit Sobolev regularity for Dirichlet and Neumann problems on Lipschitz domains

Costabel, Martin

Journal:

Mathematische Nachrichten

Year:

2019

Language:

english

File:

PDF, 193 KB

english, 2019

22

On Representation Formulas and Radiation Conditions

Martin Costabel, Monique Dauge

Journal:

Mathematical Methods in the Applied Sciences

Year:

1997

Language:

english

File:

PDF, 336 KB

english, 1997

23

Maxwell and Lamé eigenvalues on polyhedra

Martin Costabel, Monique Dauge

Journal:

Mathematical Methods in the Applied Sciences

Year:

1999

Language:

english

File:

PDF, 249 KB

english, 1999

24

Crack Singularities for General Elliptic Systems

Martin Costabel, Monique Dauge

Journal:

Mathematische Nachrichten

Year:

2002

Language:

english

File:

PDF, 272 KB

english, 2002

25

Construction of Corner Singularities for Agmon-Douglis-Nirenberg Elliptic Systems

Martin Costabel, Monique Dauge

Journal:

Mathematische Nachrichten

Year:

1993

Language:

english

File:

PDF, 1.23 MB

english, 1993

26

A coercive bilinear form for Maxwell's equations

Martin Costabel

Journal:

Journal of Mathematical Analysis and Applications

Year:

1991

Language:

english

File:

PDF, 672 KB

english, 1991

27

Fast semi-analytic computation of elastic edge singularities

Martin Costabel, Monique Dauge, Yvon Lafranche

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2001

Language:

english

File:

PDF, 876 KB

english, 2001

28

Numerical approximation of a singularly perturbed contact problem

Martin Costabel, Monique Dauge, Manil Suri

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1998

Language:

english

File:

PDF, 1.18 MB

english, 1998

29

Singularités des équations de Maxwell dans un polyèdre

Martin Costabel, Monique Dauge

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1997

Language:

english

File:

PDF, 404 KB

english, 1997

30

Un résultat de densité pour les équations de Maxwell régularisées dans un domaine lipschitzien

Martin Costabel, Monique Dauge

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1998

Language:

english

File:

PDF, 379 KB

english, 1998

31

Anisotropic regularity results for Laplace and Maxwell operators in a polyhedron

Annalisa Buffa, Martin Costabel, Monique Dauge

Journal:

Comptes Rendus Mathematique

Year:

2003

Language:

french

File:

PDF, 111 KB

french, 2003

32

Invertibility of the biharmonic single layer potential operator

Martin Costabel, Monique Dauge

Journal:

Integral Equations and Operator Theory

Year:

1996

Language:

english

File:

PDF, 808 KB

english, 1996

33

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

Martin Costabel, Alan McIntosh

Journal:

Mathematische Zeitschrift

Year:

2010

Language:

english

File:

PDF, 313 KB

english, 2010

34

Weighted regularization of Maxwell equations in polyhedral domains

Martin Costabel, Monique Dauge

Journal:

Numerische Mathematik

Year:

2002

Language:

english

File:

PDF, 309 KB

english, 2002

35

Edge Stress Intensity Functions in Polyhedral Domains and their Extraction by a Quasidual Function Method

Zohar Yosibash, Netta Omer, Martin Costabel, Monique Dauge

Journal:

International Journal of Fracture

Year:

2005

Language:

english

File:

PDF, 1.66 MB

english, 2005

36

Circular edge singularities for the Laplace equation and the elasticity system in 3-D domains

Zohar Yosibash, Samuel Shannon, Monique Dauge, Martin Costabel

Journal:

International Journal of Fracture

Year:

2011

Language:

english

File:

PDF, 660 KB

english, 2011

37

Edge flux intensity functions in polyhedral domains and their extraction by a quasidual function method

Netta Omer, Zohar Yosibash, Martin Costabel, Monique Dauge

Journal:

International Journal of Fracture

Year:

2004

Language:

english

File:

PDF, 1.58 MB

english, 2004

38

Boundary integral operators on curved polygons

Martin Costabel

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

1983

Language:

english

File:

PDF, 1.14 MB

english, 1983

39

Discrete Compactness for the p -Version of Discrete Differential Forms

Boffi, Daniele, Costabel, Martin, Dauge, Monique, Demkowicz, Leszek, Hiptmair, Ralf

Journal:

SIAM Journal on Numerical Analysis

Year:

2011

Language:

english

File:

PDF, 325 KB

english, 2011

40

Coupling of Finite and Boundary Element Methods for an Elastoplastic Interface Problem

Costabel, Martin, Stephan, Ernst P.

Journal:

SIAM Journal on Numerical Analysis

Year:

1990

Language:

english

File:

PDF, 1.32 MB

english, 1990

41

General edge asymptotics of solutions of second-order elliptic boundary value problems I

Costabel, Martin, Dauge, Monique

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

1993

Language:

english

File:

PDF, 1.92 MB

english, 1993

42

General edge asymptotics of solutions of second-order elliptic boundary value problems II

Costabel, Martin, Dauge, Monique

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

1993

Language:

english

File:

PDF, 1.31 MB

english, 1993

43

Discrete Compactness for the hp Version of Rectangular Edge Finite Elements

Boffi, Daniele, Costabel, Martin, Dauge, Monique, Demkowicz, Leszek

Journal:

SIAM Journal on Numerical Analysis

Year:

2006

Language:

english

File:

PDF, 282 KB

english, 2006

44

A Quasi-Dual Function Method for Extracting Edge Stress Intensity Functions

Costabel, Martin, Dauge, Monique, Yosibash, Zohar

Journal:

SIAM Journal on Mathematical Analysis

Year:

2004

Language:

english

File:

PDF, 293 KB

english, 2004

45

Asymptotics Without Logarithmic Terms for Crack Problems†

Costabel, Martin, Dauge, Monique, Duduchava, Roland

Journal:

Communications in Partial Differential Equations

Year:

2003

Language:

english

File:

PDF, 724 KB

english, 2003

46

Stable Asymptotics for Elliptic Systems on Plane Domains with Corners

Martin Costabel,, Monique Dauge,

Journal:

Communications in Partial Differential Equations

Year:

1994

Language:

english

File:

PDF, 1.51 MB

english, 1994

47

Weighted analytic regularity in polyhedra

Costabel, Martin, Dauge, Monique, Nicaise, Serge

Journal:

Computers & Mathematics with Applications

Year:

2014

Language:

english

File:

PDF, 417 KB

english, 2014

48

Coupling of Finite and Boundary Element Methods for an Elastoplastic Interface Problem

Martin Costabel and Ernst P. Stephan

Journal:

SIAM Journal on Numerical Analysis

Year:

1990

Language:

english

File:

PDF, 1.13 MB

english, 1990

49

The inf-sup constant for the divergence on corner domains

Costabel, Martin, Crouzeix, Michel, Dauge, Monique, Lafranche, Yvon

Journal:

Numerical Methods for Partial Differential Equations

Year:

2015

Language:

english

File:

PDF, 599 KB

english, 2015

50

Discrete Compactness for the hp Version of Rectangular Edge Finite Elements

Daniele Boffi, Martin Costabel, Monique Dauge and Leszek Demkowicz

Journal:

SIAM Journal on Numerical Analysis

Year:

2006

Language:

english

File:

PDF, 1.83 MB

english, 2006