Computation of Maxwell's equations on Manifold using DEC

Mathematics – Numerical Analysis

Scientific paper

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19 pages,6 figures

Scientific paper

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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