Time-explicit numerical methods for Maxwell’s equation in second-order form

S.S. Neoh and F. Ismail

Applied Mathematics and Computation, 2021, vol. 392, issue C

Abstract: This paper postulates three numerical methods solving the second-order Maxwell’s equation on unstructured grids. These numerical methods are derived from the classic finite-volume philosophy and also from the residual distribution approach. Some approximations are performed on the outflow boundary and the transverse electric (TE) mode with a perfect electrical conducting (PEC) material interface to ensure that these numerical methods will work for hyperbolic wave equations. The methods proposed here are simple, compact, second-order-accurate coupled with an explicit time-integration, and can be replicated with the least effort. Results herein include a variety of two and three dimensional problems with good accuracy. Moreover, solving the second-order Maxwell’s equation shows a substantial reduction in computational cost relative to solving the first-order system of Maxwell’s equations. Higher Education

Keywords: Second-order Maxwell’s equation; Finite-volume method; Residual distribution (RD) method; Flux-difference RD approach; Gradient flux residual method; Electromagnetic waveguide and scattering (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:392:y:2021:i:c:s0096300320306226

DOI: 10.1016/j.amc.2020.125669

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