Computation of Maxwell's equations on Manifold using DEC
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🧮 math.NA
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equationsmanifoldmaxwellaccomplishedalgorithmanalysisbeencalculus
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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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