Boundary integral equations for the transmission eigenvalue problem for Maxwell's equations

Journal of Integral Equations and Applications ◽

10.1216/jie-2015-27-3-375 ◽

2015 ◽

Vol 27 (3) ◽

pp. 375-406 ◽

Author(s):

Fioralba Cakoni ◽

Houssem Haddar ◽

Shixu Meng

Keyword(s):

Eigenvalue Problem ◽

Integral Equations ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Transmission Eigenvalue ◽

Transmission Eigenvalue Problem

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Interior transmission eigenvalue problem for Maxwell's equations: the T -coercivity as an alternative approach

Inverse Problems ◽

10.1088/0266-5611/28/6/065005 ◽

2012 ◽

Vol 28 (6) ◽

pp. 065005 ◽

Author(s):

Lucas Chesnel

Keyword(s):

Eigenvalue Problem ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Transmission Eigenvalue ◽

Alternative Approach ◽

Transmission Eigenvalue Problem

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The spectral analysis of the interior transmission eigenvalue problem for Maxwell's equations

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2018.10.004 ◽

2018 ◽

Vol 120 ◽

pp. 1-32

Author(s):

Houssem Haddar ◽

Shixu Meng

Keyword(s):

Spectral Analysis ◽

Eigenvalue Problem ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Transmission Eigenvalue ◽

Transmission Eigenvalue Problem

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On the infinitely many nonperturbative solutions in a transmission eigenvalue problem for Maxwell’s equations with cubic nonlinearity

Journal of Mathematical Physics ◽

10.1063/1.4964279 ◽

2016 ◽

Vol 57 (10) ◽

pp. 103504 ◽

Author(s):

Yu. G. Smirnov ◽

D. V. Valovik

Keyword(s):

Eigenvalue Problem ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Cubic Nonlinearity ◽

Transmission Eigenvalue ◽

Transmission Eigenvalue Problem

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Muller Boundary Integral Equations for Solving Generalized Complex-Frequency Eigenvalue Problem

Lobachevskii Journal of Mathematics ◽

10.1134/s1995080220070343 ◽

2020 ◽

Vol 41 (7) ◽

pp. 1377-1384 ◽

Author(s):

A. O. Oktyabrskaya ◽

A. O. Spiridonov ◽

E. M. Karchevskii

Keyword(s):

Eigenvalue Problem ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Complex Frequency ◽

Generalized Complex

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A boundary integral equation for the transmission eigenvalue problem for Maxwell equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4664 ◽

2018 ◽

Vol 41 (4) ◽

pp. 1316-1330 ◽

Author(s):

F. Cakoni ◽

O. Ivanyshyn Yaman ◽

R. Kress ◽

F. Le Louër

Keyword(s):

Integral Equation ◽

Eigenvalue Problem ◽

Boundary Integral Equation ◽

Maxwell Equation ◽

Boundary Integral ◽

Transmission Eigenvalue ◽

Transmission Eigenvalue Problem

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A boundary integral equation method for the transmission eigenvalue problem

Applicable Analysis ◽

10.1080/00036811.2016.1189537 ◽

2016 ◽

Vol 96 (1) ◽

pp. 23-38 ◽

Author(s):

Fioralba Cakoni ◽

Rainer Kress

Keyword(s):

Integral Equation ◽

Eigenvalue Problem ◽

Boundary Integral Equation ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

Transmission Eigenvalue ◽

Transmission Eigenvalue Problem

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Boundary Integral Equations Combined with Orthogonality of Modes for Analysis of Two-Dimensional Optical Slab Waveguide: Single Mode Waveguide

IEICE Transactions on Electronics ◽

10.1587/transele.2020ecp5004 ◽

2021 ◽

Vol E104.C (1) ◽

pp. 1-10

Author(s):

Masahiro TANAKA

Keyword(s):

Integral Equations ◽

Boundary Integral Equations ◽

Single Mode ◽

Boundary Integral ◽

Slab Waveguide ◽

Two Dimensional ◽

Single Mode Waveguide

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A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.11.020 ◽

2018 ◽

Vol 333 ◽

pp. 362-381 ◽

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Approximate Solution ◽

Integral Equations ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

Galerkin Scheme ◽

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A study on boundary integral equations for dynamic elastoplastic analysis for the plane problem by TD-BEM

Acta Mechanica Sinica ◽

10.1007/s10409-020-01048-w ◽

2021 ◽

Author(s):

Hongjun Li ◽

Weidong Lei ◽

Rui Chen ◽

Qiang Hu

Keyword(s):

Integral Equations ◽

Plane Problem ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Elastoplastic Analysis

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On the Partial Inverse Problems for the Transmission Eigenvalue Problem of the Schrödinger Operator

Results in Mathematics ◽

10.1007/s00025-021-01395-5 ◽

2021 ◽

Vol 76 (2) ◽

Author(s):

Qiao-Qiao Xu ◽

Xiao-Chuan Xu

Keyword(s):

Inverse Problems ◽

Eigenvalue Problem ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Partial Inverse ◽

Transmission Eigenvalue ◽

Transmission Eigenvalue Problem

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