English

Computation of Maxwell's equations on Manifold using DEC

Numerical Analysis 2009-12-29 v6

Abstract

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.

Cite

@article{arxiv.0908.4448,
  title  = {Computation of Maxwell's equations on Manifold using DEC},
  author = {Zheng Xie and Yujie Ma},
  journal= {arXiv preprint arXiv:0908.4448},
  year   = {2009}
}

Comments

19 pages,6 figures

R2 v1 2026-06-21T13:40:28.589Z