@Article{EAJAM-10-786, author = {Feng , FangHuang , Jianguo and Yu , Yue}, title = {A Non-Consistent Virtual Element Method for Reaction Diffusion Equations}, journal = {East Asian Journal on Applied Mathematics}, year = {2020}, volume = {10}, number = {4}, pages = {786--799}, abstract = {

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 $H^1$ and $L^2$ norms. Numerical results are consistent with theoretical findings but show that for $k$ ≥ 3 the method is not optimal.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.150320.110520}, url = {http://global-sci.org/intro/article_detail/eajam/17961.html} }