Abstract
In this paper, we propose, analyze, and numerically validate an adaptive finite element method for two-dimensional time-harmonic magnetic induction intensity equations as well as their Perfectly Matched-Layer (PML) equations. Based on Hodge decomposition, the equations are transformed into scalar elliptic boundary value problems and numerically solved by using the P-1 finite element method. Also, we can solve another basic quantity E concerned in physics. A posterior error indicator based on a superconvergent functional value recovery is considered for the two kinds of equations. Numerical experiments are presented to illustrate the effectiveness of the a posterior error indicator and the corresponding adaptive algorithm. (c) 2022 Elsevier B.V. All rights reserved.
NSTL
Elsevier