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Near- and Far-Field Boundary Conditions for a Finite Element Method for the Helmholtz Equation in Axisymmetric Problems of Underwater Acoustics

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We consider the Helmholtz equation in a stratified cylindrically symmetric waveguide overlying a rigid bottom. Nonlocal boundary conditions are posed at a near- and a far-field artificial boundary. At the near-field boundary a nonhomogeneous DtN-type condition that takes into account the effects of the source and of the backscattering from the rest of the waveguide is posed. At the far-field boundary is used a condition associated with the DtN map of the exterior problem. The problem is discretized by a standard Galerkin/finite element method and is implemented in a Fortran code called FENL2. The code is tested on some small scale problems and its results are compared with those of COUPLE and are found to be in excellent agreement.
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Document Type: Research Article

Publication date: November 1, 2007

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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