@Article{AAMM-13-4,
author = {Wang, Peizhen and Zhang, Dandan and Yang, Wei},
title = {Error Analysis of Two-Level Finite Element Method for the Nonlinear Conductivity Problem in Maxwell's System},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2021},
volume = {13},
number = {4},
pages = {791--805},
abstract = {<p style="text-align: justify;">The traditional convergent analysis of two-level method (TLM) will fail when Nédélec finite element is employed to approximate Maxwell&#39;s system. In this paper, based on the superclose theory, we develop a new analysis framework for the nonlinear conductivity problem in Maxwell&#39;s system, which remedies the weakness of Nédélec finite element for two-level method. This method can save computational cost and improve the efficiency. We obtain the optimal convergent rate $\mathcal{O}(\Delta t+h^2)$ in spatial space. A numerical example verifies our theoretical analysis.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2020-0049},
url = {https://global-sci.com/article/72990/error-analysis-of-two-level-finite-element-method-for-the-nonlinear-conductivity-problem-in-maxwells-system}
}