Computation of Maxwell's equations on Manifold using DEC

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.

19 pages,6 figures

References in corpus (1)

• Geometric Computational Electrodynamics with Variational Integrators and Discrete Differential Forms

Cited by in corpus (3)

• Simulation of Wave Equation on Manifold using DEC
• Westervelt Equation Simulation on Manifold using DEC
• Computation of Maxwell's equations on manifold using implicit DEC scheme