Fourth order accurate compact scheme for first-order maxwell's equations
Numerical Analysis
2023-07-07 v2 Numerical Analysis
Abstract
We construct a compact fourth-order scheme, in space and time, for the time-dependent Maxwell's equations given as a first-order system on a staggered (Yee) grid. At each time step, we update the fields by solving positive definite second-order elliptic equations. We face the challenge of finding compatible boundary conditions for these elliptic equations while maintaining a compact stencil. The proposed scheme is compared computationally with a non-compact scheme and data-driven approach.
Cite
@article{arxiv.2306.17263,
title = {Fourth order accurate compact scheme for first-order maxwell's equations},
author = {Idan Versano and Eli Turkel and Semyon Tsynkov},
journal= {arXiv preprint arXiv:2306.17263},
year = {2023}
}
Comments
28 pages