Articles citing this article

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Cited article:

A Novel PML-Type Technique for Acoustic Scattering Problems Based on a Real Coordinate Transformation

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SIAM Journal on Scientific Computing 47 (1) A153 (2025)
https://doi.org/10.1137/24M1628554

Non-reflecting boundary conditions for solving Maxwell’s equations in waveguides

Denise Aregba-Driollet, Patrick Lacoste and Corentin Prigent
Journal of Computational and Applied Mathematics 466 116598 (2025)
https://doi.org/10.1016/j.cam.2025.116598

Analysis of Complete Radiation Boundary Conditions for Maxwell’s Equations

Seungil Kim
SIAM Journal on Numerical Analysis 63 (3) 1183 (2025)
https://doi.org/10.1137/24M1663417

Approximations of the Helmholtz equation with variable wave number in one dimension

Dimitrios A. Mitsoudis, Michael Plexousakis, George N. Makrakis and Charalambos Makridakis
Studies in Applied Mathematics 153 (4) (2024)
https://doi.org/10.1111/sapm.12756

Stable Perfectly Matched Layers with Lorentz transformation for the convected Helmholtz equation

Philippe Marchner, Hadrien Bériot, Xavier Antoine and Christophe Geuzaine
Journal of Computational Physics 433 110180 (2021)
https://doi.org/10.1016/j.jcp.2021.110180

Convergence Analysis of the Continuous and Discrete Non-overlapping Double Sweep Domain Decomposition Method Based on PMLs for the Helmholtz Equation

Seungil Kim and Hui Zhang
Journal of Scientific Computing 89 (2) (2021)
https://doi.org/10.1007/s10915-021-01640-7

Stability and Convergence Analysis of Time-Domain Perfectly Matched Layers for the Wave Equation in Waveguides

Eliane Bécache and Maryna Kachanovska
SIAM Journal on Numerical Analysis 59 (4) 2004 (2021)
https://doi.org/10.1137/20M1330543

Application of a complete radiation boundary condition for the Helmholtz equation in locally perturbed waveguides

Seungil Kim
Journal of Computational and Applied Mathematics 367 112458 (2020)
https://doi.org/10.1016/j.cam.2019.112458