Computation of Maxwell's equations on Manifold using DEC

2009/08/31 by Xie, Zheng, Ma, Yujie
#65K99 #65M99 #65N99 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.0908.4448

Abstract

In this paper, the method of discrete exterior calculus for numerically solving Maxwell's equations in space manifold and the time is discussed, which is a kind of lattice gauge theory. The analysis of its stable condition and error is also accomplished. This algorithm has been implemented on C++ plateform for simulating TE/M waves in vacuum.

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