Finite element formulations for exterior problems: Application to hybrid methods, non-reflecting boundary conditions, and infinite elements

  • Isaac Harari*
  • , Paul E. Barbone
  • , Joshua M. Montgomery
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

We develop formulations for finite element computation of exterior acoustics problems. A prominent feature of the formulations is the lack of integration over the unbounded domain, simplifying the task of discretization and potentially leading to numerous additional benefits. These formulations provide a suitable basis for hybrid asymptotic-numerical methods in scattering, non-reflecting boundary conditions and infinite elements.

Original languageEnglish
Pages (from-to)2791-2805
Number of pages15
JournalInternational Journal for Numerical Methods in Engineering
Volume40
Issue number15
DOIs
StatePublished - 1997

Keywords

  • Absorbing boundary conditions
  • Acoustics
  • Finite element methods
  • Infinite elements
  • Lagrange multipliers
  • Unbounded domains

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