Three-dimensional infinite elements based on a trefftz formulation

Isaac Harari*, Parama Barai, Paul E. Barbone, Michael Slavutin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

Three-dimensional infinite elements for exterior problems of time-harmonic acoustics are developed. The infinite elements mesh only the outer boundary of the finite element domain and need not match the finite elements on the interface. A four-noded infinite element, based on separation of variables in spherical coordinates, is presented. Singular behavior of associated Legendre functions at the poles is circumvented. Numerical results validate the good performance of this approach.

Original languageEnglish
Pages (from-to)381-394
Number of pages14
JournalJournal of Computational Acoustics
Volume9
Issue number2
DOIs
StatePublished - Jun 2001

Funding

FundersFunder number
Office of Naval ResearchN-00014-96-1-0637
Office of Naval Research

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