A generalized plane-wave numerical method for smooth nonconstant coefficients

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


We propose an original method based on generalized plane waves and approximated coefficients for the numerical approximation of the Helmholtz equation with a smooth nonconstant coefficient. This is justified by a high-order convergence estimate rate. Our motivation stems from Maxwell's equations with Hermitian dielectric tensor ε which are used to model reflectometry in fusion plasma. Simplified models split them into two different propagation modes. Some numerical results are presented in dimensions 1 and 2.

Original languageEnglish (US)
Pages (from-to)1072-1103
Number of pages32
JournalIMA Journal of Numerical Analysis
Issue number3
StatePublished - Jul 2014
Externally publishedYes


  • generalized plane waves
  • high order
  • wave equations

ASJC Scopus subject areas

  • General Mathematics
  • Computational Mathematics
  • Applied Mathematics


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