Published In
Applications of Mathematics
Document Type
Pre-Print
Publication Date
10-8-2024
Subjects
Acoutic wave resistance
Abstract
A model two-dimensional acoustic waveguide with lateral impedance boundary conditions (and outgoing boundary conditions at the waveguide outlet) is considered. The governing operator is proved to be bounded below with a stability constant inversely proportional to the length of the waveguide. The presence of impedance boundary conditions leads to a non self-adjoint operator which considerably complicates the analysis. The goal of this paper is to elucidate these complications and tools that are applicable, as simply as possible. This work is a continuation of prior waveguide studies (where self-adjoint operators arose) by J. M. Melenk et al. (2023), and L. Demkowicz et al. (2024).
Rights
© 2024 Springer Nature
Locate the Document
DOI
10.21136/AM.2024.0080-24
Persistent Identifier
https://archives.pdx.edu/ds/psu/42668
Citation Details
Demkowicz, L., Gopalakrishnan, J., & Heuer, N. (2024). Stability analysis for acoustic waveguides. Part 3: impedance boundary conditions. Applications of Mathematics, 69(5), 633–651. https://doi.org/10.21136/am.2024.0080-24