Computational & Technology Resources
an online resource for computational,
engineering & technology publications 

Computational Science, Engineering & Technology Series
ISSN 17593158 CSETS: 18
COMPUTATIONAL METHODS FOR ACOUSTICS PROBLEMS Edited by: F. Magoulès
Chapter 2
Infinite Elements J. Astley
ISVR, University of Southampton, United Kingdom J. Astley, "Infinite Elements", in F. Magoulès, (Editor), "Computational Methods for Acoustics Problems", SaxeCoburg Publications, Stirlingshire, UK, Chapter 2, pp 3768, 2008. doi:10.4203/csets.18.2
Keywords: acoustic, radiation, scattering, finite elements, Helmholtz equation, unbounded.
Abstract
Infinite elements are presented here as an adjunct to conventional finite element models
for acoustic propagation on bounded domains. This chapter will demonstrate how
infinite elements can be used to extend such models to the far field by using discrete
trial solutions which model correctly the asymptotic characteristics of the acoustic
solution at large distances from the source. Infinite element formulations fall naturally
into two distinct families which will be termed 'conjugated' and 'unconjugated'
formulations. Within each family a further natural subdivision will be made into separable
and mapped elements. Infinite element methods are outlined here in application
to the exterior Helmholtz problem for acoustic propagation in a quiescent homogeneous
medium. An extension of the infinite element concept to the time domain is
also outlined.
purchase the fulltext of this chapter (price £25)
go to the previous chapter 
