Three-dimensional element configurations for the discontinuous enrichment method for acoustics

Eran Grosu, Isaac Harari

Research output: Contribution to journalArticlepeer-review


Hexahedral and tetrahedral elements are proposed for the discontinuous enrichment method (DEM) for boundary-value problems governed by the Helmholtz equation. A procedure for obtaining sets of approximately uniform spherical enrichment directions, with high flexibility in the choice of their number, is constructed. Conditioning considerations indicate preferred representations of the oscillatory basis functions. Dispersion properties are used to rate the performance of different element configurations. Numerical tests assess accuracy, indicating that high-order DEM elements exhibit little dispersion. The dispersion and the numerical results are in a good agreement. The proposed configurations of DEM elements become more competitive as the number of enrichments and Lagrange multipliers is increased.

Original languageEnglish
Pages (from-to)1261-1291
Number of pages31
JournalInternational Journal for Numerical Methods in Engineering
Issue number11
StatePublished - 11 Jun 2009


  • Acoustics
  • Discontinuous enrichment method
  • Dispersion
  • Finite elements
  • Helmholtz equation
  • Medium frequency


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