Curl recovery for the lowest order rectangular edge element

摘要

In this paper, we present two recovered curl results of the lowest order rectangular edge element for 2-D time-harmonic Maxwell’s equations. The proposed methods are about local discrete least square fittings. It is proved that the two methods are superconvergent. Numerical examples show that the recovery methods can obtain superconvergent curl approximations for time-harmonic Maxwell’s equations.