TY - JOUR
T1 - A Non-Consistent Virtual Element Method for Reaction Diffusion Equations
AU - Feng , Fang
AU - Huang , Jianguo
AU - Yu , Yue
JO - East Asian Journal on Applied Mathematics
VL - 4
SP - 786
EP - 799
PY - 2020
DA - 2020/08
SN - 10
DO - http://doi.org/10.4208/eajam.150320.110520
UR - https://global-sci.org/intro/article_detail/eajam/17961.html
KW - Virtual element method, reaction-diffusion problem, non-consistent, enhancement
technique, error analysis.
AB - <p style="text-align: justify;">A simple virtual element method, avoiding the traditional enhancement technique, is used for numerical solution of a reaction-diffusion problem in the lowest order
cases $k$ = 1 and 2. Optimal error estimates are established in $H^1$<span style="font-size: 13.3333px;"> </span>and $L^2$&nbsp;norms. Numerical results are consistent with theoretical findings but show that for $k$ ≥ 3 the method
is not optimal.</p>