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

DOI10.1137/20M1330543zbMath1493.65142OpenAlexW3015451036MaRDI QIDQ5001385

Maryna Kachanovska, Eliane Bécache

Publication date: 19 July 2021

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1330543

zbMATH Keywords

Laplace transformwave equationwaveguideDirichlet-to-Neumann operatorperfectly matched layers

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Antennas, waveguides in optics and electromagnetic theory (78A50) Laplace transform (44A10) Waves and radiation in optics and electromagnetic theory (78A40) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (6)

Radial Complex Scaling for Anisotropic Scalar Resonance Problems ⋮ Convergence analysis of time-domain PMLS for 2D electromagnetic wave propagation in dispersive waveguides ⋮ Analysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski’s PML Model in the Integro-Differential Form ⋮ A New Class of Uniformly Stable Time-Domain Foldy–Lax Models for Scattering by Small Particles. Acoustic Sound-Soft Scattering by Circles ⋮ Well-posedness and convergence analysis of PML method for time-dependent acoustic scattering problems over a locally rough surface ⋮ Analysis of Radial Complex Scaling Methods: Scalar Resonance Problems

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