East Asian J. Appl. Math., 10 (2020), pp. 786-799.
Published online: 2020-08
Cited by
- BibTex
- RIS
- TXT
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} }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.