@Article{IJNAM-17-236,
author = {Li , XiangrongQi , NanZhang , Weiwei and Nie , Yufeng},
title = {Provably Size-Guaranteed Mesh Generation with Superconvergence},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2020},
volume = {17},
number = {2},
pages = {236--253},
abstract = {<p style="text-align: justify;">The mesh conditions of high-quality grids generated by bubble placement method
(BPM) and their superconvergence properties are studied in this paper. A mesh condition that
for each pair of adjacent triangles, the lengths of any two opposite edges differ only by a high
order of the parameter $h$ is derived. Furthermore, superconvergence estimations are analyzed on
both linear and quadratic finite elements for elliptic boundary value problems under the above
mesh condition. In particular, the mesh condition is found to be applicable to many known
superconvergence estimations under different types of equations. Finally, numerical examples are
presented to demonstrate the superconvergence properties on BPM-based grids.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/13649.html}
}