High order compact finite difference schemes for the Helmholtz equation with discontinuous coefficients

Xiufang Feng, Zhilin Li, Zhonghua Qiao

Research output: Journal article publicationJournal articleAcademic researchpeer-review

29 Citations (Scopus)


In this paper, third- and fourth-order compact finite difference schemes are proposed for solving Helmholtz equations with discontinuous media along straight interfaces in two space dimensions. To keep the compactness of the finite difference schemes and get global high order schemes, even at the interface where the wave number is discontinuous, the idea of the immersed interface method is employed. Numerical experiments are included to confirm the efficiency and accuracy of the proposed methods.
Original languageEnglish
Pages (from-to)324-340
Number of pages17
JournalJournal of Computational Mathematics
Issue number3
Publication statusPublished - 1 May 2011
Externally publishedYes


  • Compact finite difference scheme
  • Discontinuous media
  • Helmholtz equation
  • Immersed interface method
  • Nine-point stencil

ASJC Scopus subject areas

  • Computational Mathematics

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