Bubble-based stabilization for the Helmholtz equation

Isaac Harari*, Kirill Gosteev

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A comparison of two bubble-enriched methods, derived by different considerations, indicates that the methods are identical in some cases. Thus, series representations of auxiliary functions, derived independently for the two methods, turn out to be equivalent prior to truncation. Three such series for time-harmonic acoustics are considered. Dispersion analysis points to the more efficient series representation and provides guidelines for the number of terms to be retained. Numerical tests confirm the validity of these practical guidelines.

Original languageEnglish
Pages (from-to)1241-1260
Number of pages20
JournalInternational Journal for Numerical Methods in Engineering
Issue number10
StatePublished - 4 Jun 2007


  • Acoustic
  • Bubbles
  • Finite elements
  • Stabilized methods


Dive into the research topics of 'Bubble-based stabilization for the Helmholtz equation'. Together they form a unique fingerprint.

Cite this