Year: 2017
Numerical Mathematics: Theory, Methods and Applications, Vol. 10 (2017), Iss. 1 : pp. 145–166
Abstract
In this paper, nonconforming mixed finite element method is proposed to simulate the wave propagation in metamaterials. The error estimate of the semi-discrete scheme is given by convergence order $\mathcal{O}(h^2)$, which is less than 40 percent of the computational costs comparing with the same effect by using Nédélec-Raviart element. A Crank-Nicolson full discrete scheme is also presented with $\mathcal{O}(τ^2 + h^2)$ by traditional discrete formula without using penalty method. Numerical examples of 2D TE, TM cases and a famous re-focusing phenomenon are shown to verify our theories.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.2017.m1426
Numerical Mathematics: Theory, Methods and Applications, Vol. 10 (2017), Iss. 1 : pp. 145–166
Published online: 2017-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
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Convergence Analysis of Carey Nonconforming Finite Element for the Second-Order Elliptic Problem with the Lowest Regularity
Shi, Dongwei
Russian Physics Journal, Vol. 64 (2021), Iss. 2 P.246
https://doi.org/10.1007/s11182-021-02322-5 [Citations: 0]