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Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 1: Recent Developments in Scattering and Inverse Scattering Problems
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Articles

A boundary integral equation method for the transmission eigenvalue problem

Fioralba CakoniDepartment of Mathematics, Rutgers University, Piscataway, NJ, USA.Correspondence[email protected]
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Rainer KressInstitut für Numerische und Angewandte Mathematik, Universität Göttingen, Göttingen, Germany.View further author information
Pages 23-38 | Received 03 Feb 2016, Accepted 10 May 2016, Published online: 16 Jun 2016

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Rafael Ceja Ayala, Isaac Harris, Andreas Kleefeld & Nikolaos Pallikarakis. (2023) Analysis of the transmission eigenvalue problem with two conductivity parameters. Applicable Analysis 0:0, pages 1-29.
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Articles from other publishers (22)

Jianli Xiang & Guozheng Yan. (2023) The interior transmission eigenvalue problem for an anisotropic medium by a partially coated boundary. Acta Mathematica Scientia 44:1, pages 339-354.
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Jian Meng. (2023) Discontinuous Galerkin Method for the Interior Transmission Eigenvalue Problem in Inverse Scattering Theory. Journal of Scientific Computing 96:3.
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Yunyun Ma & Jiguang Sun. (2023) Analysis of a Fourier–Galerkin Method for the Transmission Eigenvalue Problem based on a Boundary Integral Formulation. Journal of Scientific Computing 95:2.
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D Gintides, S Giogiakas & L Mindrinos. (2023) A theoretical and numerical study of oblique scattering by an inhomogeneous cylinder. Journal of Physics: Conference Series 2444:1, pages 012009.
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Yidu Yang, Shixi Wang & Hai Bi. (2022) The Finite Element Method for the Elastic Transmission Eigenvalue Problem with Different Elastic Tensors. Journal of Scientific Computing 93:3.
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Bo Gong, Jiguang Sun, Tiara Turner & Chunxiong Zheng. (2022) Finite element/holomorphic operator function method for the transmission eigenvalue problem. Mathematics of Computation.
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A. Kleefeld & M. Zimmermann. 2022. Integral Methods in Science and Engineering. Integral Methods in Science and Engineering 139 155 .
David Mora & Iván Velásquez. (2021) A $$C^{1}-C^{0}$$ conforming virtual element discretization for the transmission eigenvalue problem. Research in the Mathematical Sciences 8:4.
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Andreas Kleefeld. (2021) The hot spots conjecture can be false: some numerical examples. Advances in Computational Mathematics 47:6.
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Fioralba Cakoni, Peter Monk & Virginia Selgas. (2021) Analysis of the linear sampling method for imaging penetrable obstacles in the time domain. Analysis & PDE 14:3, pages 667-688.
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David Mora & Iván Velásquez. (2021) Virtual Elements for the Transmission Eigenvalue Problem on Polytopal Meshes. SIAM Journal on Scientific Computing 43:4, pages A2425-A2447.
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Yuqing Hu, Bingxian Wang & Tongxing Li. (2020) Corrosion shape reconstruction of the mixed boundary in electrostatic imaging. Advances in Difference Equations 2020:1.
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Andreas Kleefeld & Jijun Liu. 2020. Computational and Analytic Methods in Science and Engineering. Computational and Analytic Methods in Science and Engineering 173 195 .
R Kress. (2019) Nonlocal impedance conditions in direct and inverse obstacle scattering. Inverse Problems 35:2, pages 024002.
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David Colton & Rainer KressDavid Colton & Rainer Kress. 2019. Inverse Acoustic and Electromagnetic Scattering Theory. Inverse Acoustic and Electromagnetic Scattering Theory 371 437 .
Andreas Kleefeld & Lukas Pieronek. (2018) Computing interior transmission eigenvalues for homogeneous and anisotropic media. Inverse Problems 34:10, pages 105007.
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Qiucheng Yu, Kangxian Guo, Meilin Hu, Zhongmin Zhang, Zhihai Zhang & Dongfeng Liu. (2018) Research on third-harmonic generation with position-dependent mass in a quantum well. Journal of the Optical Society of America B 35:6, pages 1408.
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F. Cakoni, O. Ivanyshyn Yaman, R. Kress & F. Le Louër. (2018) A boundary integral equation for the transmission eigenvalue problem for Maxwell equation. Mathematical Methods in the Applied Sciences 41:4, pages 1316-1330.
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Andreas Kleefeld & Lukas Pieronek. (2018) The method of fundamental solutions for computing acoustic interior transmission eigenvalues. Inverse Problems 34:3, pages 035007.
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Yangqingxiang Wu & Ludmil Zikatanov. 2018. High Performance Computing in Science and Engineering. High Performance Computing in Science and Engineering 34 46 .
A. Kleefeld & E. Reichwein. 2017. Integral Methods in Science and Engineering, Volume 1. Integral Methods in Science and Engineering, Volume 1 149 159 .
A. Kleefeld & D. Colton. 2017. Integral Methods in Science and Engineering, Volume 1. Integral Methods in Science and Engineering, Volume 1 139 147 .

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