Abstract
This paper provides a convergence analysis of the finite-element method for time-dependent Maxwell's equations by means of an explicit-magnetic-field scheme. Error estimates in finite time are given. And it is verified that provided the time-stepsize τ is sufficiently small, the proposed algorithm yields for finite time T an error of O ( h s + τ ) in the L 2 -norm for the electric field E , the magnetic field H , where h is the mesh size and 1 2 < s ⩽ 1 . In addition, some numerical results are reported in the paper.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have