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arXiv · 2306.17263

Fourth order accurate compact scheme for first-order maxwell's equations

Idan Versano·Eli Turkel·Semyon Tsynkov
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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.

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Idan Versano, Eli Turkel, Semyon Tsynkov. 2023-07-05. Fourth order accurate compact scheme for first-order maxwell's equations. https://arxiv.org/abs/2306.17263

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