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Maxwell's equations can be solved numerically in space manifold and the timeby discrete exterior calculus as a kind of lattice gauge theory.Since thestable conditions of this method is very severe restriction, we combine theimplicit scheme of time variable and discrete exterior calculus to derive anunconditional stable scheme. It is an generation of implicit Yee-like scheme,since it can be implemented in space manifold directly. The analysis of itsunconditional stability and error is also accomplished.

Computation of Maxwell's equations on manifold using implicit DEC scheme