Computation of Maxwell's equations on Manifold using DEC
For researchers in computational electromagnetics, this work provides a DEC-based method for solving Maxwell's equations on manifolds, but it is an incremental application of existing DEC techniques to a specific problem.
The paper applies discrete exterior calculus (DEC) to numerically solve Maxwell's equations on a manifold, analyzing stability and error, and implements the algorithm in C++ for TE/M wave simulation in vacuum.
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.