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

Martin Costabel; Frédérique Le Louër

doi:10.1007/s00020-012-1954-z

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

Integral Equations and Operator Theory ◽

10.1007/s00020-012-1954-z ◽

2012 ◽

Vol 72 (4) ◽

pp. 509-535 ◽

Cited By ~ 22

Author(s):

Martin Costabel ◽

Frédérique Le Louër

Keyword(s):

Electromagnetic Scattering ◽

Integral Operators ◽

Boundary Integral ◽

Shape Derivatives ◽

Boundary Integral Operators ◽

Derivatives Of

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

Integral Equations and Operator Theory ◽

10.1007/s00020-012-1955-y ◽

2012 ◽

Vol 73 (1) ◽

pp. 17-48 ◽

Cited By ~ 20

Author(s):

Martin Costabel ◽

Frédérique Le Louër

Keyword(s):

Electromagnetic Scattering ◽

Integral Operators ◽

Boundary Integral ◽

Shape Derivatives ◽

Boundary Integral Operators ◽

Derivatives Of

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Material derivatives of boundary integral operators in electromagnetism and application to inverse scattering problems

Inverse Problems ◽

10.1088/0266-5611/32/9/095003 ◽

2016 ◽

Vol 32 (9) ◽

pp. 095003 ◽

Cited By ~ 7

Author(s):

Olha Ivanyshyn Yaman ◽

Frédérique Le Louër

Keyword(s):

Inverse Scattering ◽

Integral Operators ◽

Boundary Integral ◽

Scattering Problems ◽

Inverse Scattering Problems ◽

Boundary Integral Operators ◽

Derivatives Of

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MINIMIZING THE CONDITION NUMBER OF BOUNDARY INTEGRAL OPERATORS IN ACOUSTIC AND ELECTROMAGNETIC SCATTERING

The Quarterly Journal of Mechanics and Applied Mathematics ◽

10.1093/qjmam/38.2.323 ◽

1985 ◽

Vol 38 (2) ◽

pp. 323-341 ◽

Cited By ~ 118

Author(s):

R. KRESS

Keyword(s):

Condition Number ◽

Electromagnetic Scattering ◽

Integral Operators ◽

Boundary Integral ◽

Boundary Integral Operators

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Wave-number estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drs038 ◽

2013 ◽

Vol 33 (4) ◽

pp. 1176-1225 ◽

Cited By ~ 15

Author(s):

Y. Boubendir ◽

C. Turc

Keyword(s):

Boundary Conditions ◽

Acoustic Scattering ◽

Integral Operators ◽

Neumann Boundary ◽

Boundary Integral ◽

Neumann Boundary Conditions ◽

Wave Number ◽

Field Boundary ◽

Scattering Problems ◽

Boundary Integral Operators

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INTEGRAL REPRESENTATIONS IN ELECTRICAL IMPEDANCE TOMOGRAPHY USING BOUNDARY INTEGRAL OPERATORS

Journal of the Korean Mathematical Society ◽

10.4134/jkms.2008.45.1.097 ◽

2008 ◽

Vol 45 (1) ◽

pp. 97-119 ◽

Cited By ~ 1

Author(s):

Ki-Woon Kwon

Keyword(s):

Electrical Impedance Tomography ◽

Electrical Impedance ◽

Integral Operators ◽

Boundary Integral ◽

Integral Representations ◽

Impedance Tomography ◽

Boundary Integral Operators

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FETI Solvers for Non-standard Finite Element Equations Based on Boundary Integral Operators

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XXI ◽

10.1007/978-3-319-05789-7_70 ◽

2014 ◽

pp. 729-737

Author(s):

Clemens Hofreither ◽

Ulrich Langer ◽

Clemens Pechstein

Keyword(s):

Finite Element ◽

Integral Operators ◽

Boundary Integral ◽

Boundary Integral Operators

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Pseudodifferential and Boundary Integral Operators

Boundary Integral Equations - Applied Mathematical Sciences ◽

10.1007/978-3-540-68545-6_8 ◽

2008 ◽

pp. 413-492

Keyword(s):

Integral Operators ◽

Boundary Integral ◽

Boundary Integral Operators

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Shape-explicit constants for some boundary integral operators

Applicable Analysis ◽

10.1080/00036811.2011.643781 ◽

2013 ◽

Vol 92 (5) ◽

pp. 949-974 ◽

Cited By ~ 8

Author(s):

Clemens Pechstein

Keyword(s):

Integral Operators ◽

Boundary Integral ◽

Boundary Integral Operators

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On the condition number of boundary integral operators for the exterior Dirichlet problem for the Helmholtz equation

Numerische Mathematik ◽

10.1007/bf01400919 ◽

1983 ◽

Vol 42 (1) ◽

pp. 77-95 ◽

Cited By ~ 49

Author(s):

R. Kre� ◽

W. T. Spassov

Keyword(s):

Dirichlet Problem ◽

Helmholtz Equation ◽

Condition Number ◽

Integral Operators ◽

Boundary Integral ◽

Boundary Integral Operators

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On the Properties of Quasi-periodic Boundary Integral Operators for the Helmholtz Equation

Integral Equations and Operator Theory ◽

10.1007/s00020-020-2572-9 ◽

2020 ◽

Vol 92 (2) ◽

Cited By ~ 1

Author(s):

Rubén Aylwin ◽

Carlos Jerez-Hanckes ◽

José Pinto

Keyword(s):

Helmholtz Equation ◽

Periodic Boundary ◽

Integral Operators ◽

Boundary Integral ◽

Boundary Integral Operators

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