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Time integration for spherical acoustic finite–infinite element models
Author(s) -
Coyette JeanPierre,
Meerbergen Karl,
Robbé Mickaël
Publication year - 2005
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.1419
Subject(s) - finite element method , euler's formula , element (criminal law) , euler method , mathematics , relevance (law) , computer science , calculus (dental) , mathematical analysis , engineering , structural engineering , medicine , dentistry , political science , law
In this paper, we analyse the numerical time integration of models of exterior acoustics. The major challenge lies in the instabilities that may arise from the infinite elements. In this paper we consider the special case of spherical infinite elements formulations, which have shown their relevance for industrial applications. We propose a method that combines Crank–Nicholson's method with a filtering step by the backward Euler method. The paper is illustrated with an example relevant to industry. Copyright © 2005 John Wiley & Sons, Ltd.