Variational formulations for scattering in a three‐dimensional acoustic waveguide

DOI10.1002/mma.947zbMath1158.35020OpenAlexW2081341228MaRDI QIDQ5458142

Armin Lechleiter, Drossos Gintides, Tilo Arens

Publication date: 11 April 2008

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.947

zbMATH Keywords

variational methodselliptic equationswave scatteringreduced wave equation

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20)

Related Items (10)

Imaging wave-penetrable objects in a finite depth ocean ⋮ A multilevel sampling method for detecting sources in a stratified ocean waveguide ⋮ Reverse time migration for reconstructing extended obstacles in planar acoustic waveguides ⋮ On the synthesis of acoustic sources with controllable near fields ⋮ Monotonicity-based shape reconstruction for an inverse scattering problem in a waveguide ⋮ PREDICTION OF ACOUSTIC WAVE PROPAGATION IN A SHALLOW WATER CONFIGURATION USING THE METHOD OF FUNDAMENTAL SOLUTIONS ⋮ Domain optimization for an acoustic waveguide scattering problem ⋮ Direct recovery of wave-penetrable scatterers in a stratified ocean waveguide ⋮ Time-harmonic acoustic wave scattering in an ocean with depth-dependent sound speed ⋮ High Precision Identification of an Object: Optimality-Conditions-Based Concept of Imaging

Cites Work

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• Akustische wellen in Gebieten, die von zwei lokal gestorten parallelen ebenen begrenzt sind
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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