An RBF-based method for computational electromagnetics with reduced numerical dispersion
Abstract
The finite difference time domain method is one of the simplest and most popular methods in computational electromagnetics. This work considers two possible ways of generalising it to a meshless setting by employing local radial basis function interpolation. The resulting methods remain fully explicit and are convergent if properly chosen hyperviscosity terms are added to the update equations. We demonstrate that increasing the stencil size of the approximation has a desirable effect on numerical dispersion. Furthermore, our proposed methods can exhibit a decreased dispersion anisotropy compared to the finite difference time domain method.
Fields of Study & Subjects
Electromagnetic Simulation and Numerical Methods
Electromagnetic Scattering and Analysis
Radio Wave Propagation Studies
Publication details
- Journal / source
- Computer Methods in Applied Mechanics and Engineering
- Publisher
- Elsevier BV
- Volume
- 454
- Pages
- 118865–118865
- Publication date
- 25 February 2026
- Language
- EN