On L<sup>2</sup>-Stability Analysis of Time-Domain Acoustic Scattering Problems with Exact Nonreflecting Boundary Conditions

DOI10.4208/jms.v47n1.14.04zbMath1313.65244OpenAlexW2151304462MaRDI QIDQ2924755

Publication date: 3 November 2014

Published in: Journal of Mathematical Study (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jms.v47n1.14.04

zbMATH Keywords

stability a priori estimates acoustic wave equation exact nonreflecting boundary conditions finite-element/spectral-element/spectral methods time-domain scattering problems time-domain waveguide problem

Mathematics Subject Classification ID

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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

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