@Article{IJNAM-14-879,
author = {Yanhui Zhou and Qingsong Zou},
title = {A Novel Adaptive Finite Volume Method for Elliptic Equations},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2017},
volume = {14},
number = {6},
pages = {879--892},
abstract = {<p style="text-align: justify;">In this paper, we propose a novel adaptive finite volume method (AFVM) for elliptic
equations. As a standard adaptive method, a loop of our method involves four steps: Solve $\rightarrow$ Estimate <span style="text-align: justify;">$\rightarrow$</span> Mark <span style="text-align: justify;">$\rightarrow$</span> Refine. The novelty of our method is that we do not have the traditional
&quot;completion&quot; procedure in the Refine step. To guarantee the conformity, a triangular element with
a hanging node is treated as a quadrilateral element, and the corresponding function space consists
of the bilinear functions. The optimal computational complexity of our AFVM is validated by
numerical examples.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/10485.html}
}