@Article{NMTMA-17-827, author = {Wang , QimingZhou , Zhaojie and Liu , Wenbin}, title = {A Priori Error Estimate of Nonconforming Virtual Element Method for Convection Dominated Diffusion Equation}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2024}, volume = {17}, number = {3}, pages = {827--854}, abstract = {

In this paper, a priori error estimate of the nonconforming virtual element method with Streamline Upwind/Petrov-Galerkin (SUPG) stabilization for convection dominated diffusion equation is discussed. The discrete scheme of the nonconforming virtual element method is constructed and a priori error estimate is derived with a norm containing jump term. Numerical experiments verify the a priori error estimate in a set of polygonal meshes.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.OA-2023-0116}, url = {http://global-sci.org/intro/article_detail/nmtma/23376.html} }