arXiv Analytics

Sign in

arXiv:0908.4448 [math.NA]AbstractReferencesReviewsResources

Computation of Maxwell's equations on Manifold using DEC

Zheng Xie, Yujie Ma

Published 2009-08-31, updated 2009-12-29Version 6

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.

Comments: 19 pages,6 figures
Categories: math.NA
Related articles: Most relevant | Search more
arXiv:0908.4462 [math.NA] (Published 2009-08-31, updated 2009-12-29)
Computation of Maxwell's equations on manifold using implicit DEC scheme
arXiv:2208.12583 [math.NA] (Published 2022-08-26)
On the computation of the SVD of Fourier submatrices
arXiv:1909.02402 [math.NA] (Published 2019-09-05)
Elastic interior transmission eigenvalues and their computation via the method of fundamental solutions

Links

Toolbox