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Polynomial particular solutions based boundary element analysis of acoustic eigenfrequency problems
Author(s) -
Raveendra S. T.,
Banerjee P. K.
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620350905
Subject(s) - boundary element method , mathematics , interpolation (computer graphics) , finite element method , polynomial , boundary (topology) , boundary value problem , mathematical analysis , source code , domain (mathematical analysis) , matrix (chemical analysis) , forcing (mathematics) , computer science , structural engineering , engineering , computer graphics (images) , composite material , operating system , animation , materials science
The boundary element formulation for acoustic eigenfrequency analysis based on treating the forcing function, in the governing differential equation, as an initially unknown distributed source within the domain is presented. The volume integral due to this distributed source is eliminated by approximating the internal source by global interpolation and polynomial function representations and finding particular solutions for the governing, inhomogeneous equations. The resulting non‐symmetric system matrix is solved by using Arnoldi's algorithm, modified to take advantage of the special structure of the substructured boundary element method. The techniques described here are embedded in a computer program GPBEST, and the numerical results are obtained by using this computer code.