Year: 2016
Numerical Mathematics: Theory, Methods and Applications, Vol. 9 (2016), Iss. 2 : pp. 193–214
Abstract
In this paper, a nonconforming mixed finite element method (FEM) is presented to approximate time-dependent Maxwell's equations in a three-dimensional bounded domain with absorbing boundary conditions (ABC). By employing traditional variational formula, instead of adding penalty terms, we show that the discrete scheme is robust. Meanwhile, with the help of the element's typical properties and derivative transfer skills, the convergence analysis and error estimates for semi-discrete and backward Euler fully-discrete schemes are given, respectively. Numerical tests show the validity of the proposed method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.2016.m1427
Numerical Mathematics: Theory, Methods and Applications, Vol. 9 (2016), Iss. 2 : pp. 193–214
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
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Superconvergence analysis for time-domain Maxwell’s equations in a Havriliak–Negami dispersive medium
Liu, Nuodi
Chen, Yanping
Zhou, Jianwei
Huang, Yunqing
Applied Mathematics Letters, Vol. 145 (2023), Iss. P.108762
https://doi.org/10.1016/j.aml.2023.108762 [Citations: 0]