A Posterior Error Estimator for Mixed Interior Penalty Discontinuous Galerkin Finite Element Method for the H(curl)-Elliptic Problems
Numerical Analysis
2023-01-05 v1 Numerical Analysis
Abstract
In this paper, we design the first residual type a posteriori error estimator for mixed interior penalty discontinuous Galerkin method for the H(curl)-elliptic problems. Then we prove that our residual based a posteriori error indicator is both reliable and efficient. At last, we present some numerical experiments to validate the performance of the indicator within an adaptive mesh refinement procedure.
Keywords
Cite
@article{arxiv.2301.01563,
title = {A Posterior Error Estimator for Mixed Interior Penalty Discontinuous Galerkin Finite Element Method for the H(curl)-Elliptic Problems},
author = {Ming Tang and Xiaoqing Xing and Liuqiang Zhong},
journal= {arXiv preprint arXiv:2301.01563},
year = {2023}
}