arXiv Open Access 2025

An RBF-based method for computational electromagnetics with reduced numerical dispersion

Andrej Kolar-Požun Gregor Kosec

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Abstrak

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.

Topik & Kata Kunci

physics.comp-ph math.NA

Penulis (2)

Andrej Kolar-Požun

Gregor Kosec

Format Sitasi

APA MLA BibTeX

Kolar-Požun, A., Kosec, G. (2025). An RBF-based method for computational electromagnetics with reduced numerical dispersion. https://arxiv.org/abs/2508.18205

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓