Abstract
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 language | English (US) |
---|---|
Pages (from-to) | 1072-1103 |
Number of pages | 32 |
Journal | IMA Journal of Numerical Analysis |
Volume | 34 |
Issue number | 3 |
DOIs | |
State | Published - Jul 2014 |
Externally published | Yes |
Keywords
- generalized plane waves
- high order
- wave equations
ASJC Scopus subject areas
- Mathematics(all)
- Computational Mathematics
- Applied Mathematics