On the `interior Helmholtz integral equation formulation' in sound radiation problems

DOI10.1016/S0955-7997(01)00079-0zbMath1004.76057MaRDI QIDQ1604023

N. Zafiropoulos, Christopher G. Provatidis

Publication date: 3 July 2002

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

zbMATH Keywords

boundary element methodnon-uniquenesssound radiationfictitious eigenfrequenciesvibrating surfacefictitious internal boundaryinterior Helmholtz integral equation formulationoff-boundary techniques

Mathematics Subject Classification ID

Boundary element methods applied to problems in fluid mechanics (76M15) Hydro- and aero-acoustics (76Q05)

Uses Software

• LAPACK
• LINPACK

Cites Work

• A comparison between various boundary integral formulations of the exterior acoustic problem
• On the condition number of boundary integral operators for the exterior Dirichlet problem for the Helmholtz equation
• An investigation of boundary element methods for the exterior acoustic problem
• On time-harmonic elastic-wave analysis by the boundary element method for moderate to high frequencies
• Off-boundary approach to the boundary element method
• On the Completeness of Sets of Solutions to the Helmholtz Equation
• A comparison among four direct boundary integral methods
• An advanced computational method for radiation and scattering of acoustic waves in three dimensions
• LAPACK Users' Guide
• On calculation of sound fields around three dimensional objects by integral equation methods
• Solution of radiation problems by collocation of integral formulations in terms of single and double layer potentials
• On modified Green functions in exterior problems for the Helmholtz equation
• Boundary integral solutions of three dimensional acoustic radiation problems
• ON THE NULL-FIELD EQUATIONS FOR THE EXTERIOR PROBLEMS OF ACOUSTICS
• INTEGRAL EQUATIONS FOR THE EXTERIOR ACOUSTIC PROBLEM
• A SOLUTION TO THE PROBLEM OF SCALAR SCATTERING FROM A SMOOTH, BOUNDED OBSTACLE USING INTEGRAL EQUATIONS
• Fundamental Results Concerning Integral Representations in Acoustic Radiation
• Improved Integral Formulation for Acoustic Radiation Problems
• The application of integral equation methods to the numerical solution of some exterior boundary-value problems
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