A Priori Error Estimate of Nonconforming Virtual Element Method for Convection Dominated Diffusion Equation
Year: 2024
Author: Qiming Wang, Zhaojie Zhou, Wenbin Liu
Numerical Mathematics: Theory, Methods and Applications, Vol. 17 (2024), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.OA-2023-0116
Numerical Mathematics: Theory, Methods and Applications, Vol. 17 (2024), Iss. 3 : pp. 827–854
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: Nonconforming virtual element method SUPG stabilization convection dominated diffusion equation a priori error estimate.