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Finite element analysis of an Aphi method for time-dependent Maxwell’s equations based on explicit-magnetic-field scheme
Authors:A
Affiliation:aSchool of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China;bDivision of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 631665, Singapore;cSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China
Abstract:In this paper, error analysis of a finite element Aphi method for the time-dependent Maxwell’s equations is presented. An explicit-magnetic-field scheme is applied. Provided that the time-stepsize τ is sufficiently small, the proposed algorithm yields for finite time T an error of View the MathML source in the L2-norm for the electric field E and the magnetic field H, where h is the mesh size.
Keywords:Time-dependent Maxwell’  s equations   A    http://www.sciencedirect.com/scidirimg/entities/3d5.gif"   alt="  phi"   title="  phi"   border="  0"  > method   Explicit-magnetic-field scheme   Finite element method
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