@Article{AAMM-8-5,
author = {Liu, Huipo and Wang, Shuanghu and Hongbin, Han},
title = {Error Analysis and Adaptive Methods of Least Squares Nonconforming Finite Element for the Transport Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2016},
volume = {8},
number = {5},
pages = {871--886},
abstract = {<p style="text-align: justify;">In this paper, we consider a least squares nonconforming finite element of
low order for solving the transport equations. We give a detailed overview on the stability
and the convergence properties of our considered methods in the stability norm.
Moreover, we derive residual type a posteriori error estimates for the least squares
nonconforming finite element methods under $H^{−1}$-norm, which can be used as the error
indicators to guide the mesh refinement procedure in the adaptive finite element
method. The theoretical results are supported by a series of numerical experiments.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2015.m1104},
url = {https://global-sci.com/article/73365/error-analysis-and-adaptive-methods-of-least-squares-nonconforming-finite-element-for-the-transport-equations}
}