Abstract
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 language | English |
|---|---|
| Pages (from-to) | 324-340 |
| Number of pages | 17 |
| Journal | Journal of Computational Mathematics |
| Volume | 29 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 May 2011 |
| Externally published | Yes |
Keywords
- Compact finite difference scheme
- Discontinuous media
- Helmholtz equation
- Immersed interface method
- Nine-point stencil
ASJC Scopus subject areas
- Computational Mathematics