@Article{NMTMA-17-3, author = {Wang, Qiming and Zhou, Zhaojie and Wenbin, Liu}, 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 = {https://global-sci.com/article/91280/a-priori-error-estimate-of-nonconforming-virtual-element-method-for-convection-dominated-diffusion-equation} }