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Three‐dimensional finite element calculations in acoustic scattering using arbitrarily shaped convex artificial boundaries
Author(s) -
Tezaur Radek,
Macedo Antonini,
Farhat Charbel,
Djellouli Rabia
Publication year - 2001
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.346
Subject(s) - generalization , regular polygon , finite element method , scattering , boundary (topology) , boundary element method , mathematical analysis , boundary value problem , element (criminal law) , mathematics , extended finite element method , geometry , structural engineering , physics , engineering , optics , political science , law
We report on a generalization of the Bayliss–Gunzburger–Turkel non‐reflecting boundary conditions to arbitrarily shaped convex artificial boundaries. For elongated scatterers such as submarines, we show that this generalization can improve significantly the computational efficiency of finite element methods applied to the solution of three‐dimensional acoustic scattering problems. Copyright © 2001 John Wiley & Sons, Ltd.