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Volume 17, Issue 3
A Priori Error Estimate of Nonconforming Virtual Element Method for Convection Dominated Diffusion Equation

Qiming Wang, Zhaojie Zhou & Wenbin Liu

DOI: 10.4208/nmtma.OA-2023-0116

Numer. Math. Theor. Meth. Appl., 17 (2024), pp. 827-854.

Published online: 2024-08

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  • 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.

  • Keywords

Nonconforming virtual element method, SUPG stabilization, convection dominated diffusion equation, a priori error estimate.

  • AMS Subject Headings

65N30, 65N15, 76R99

  • Copyright

COPYRIGHT: © Global Science Press

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@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} }
TY - JOUR T1 - A Priori Error Estimate of Nonconforming Virtual Element Method for Convection Dominated Diffusion Equation AU - Wang , Qiming AU - Zhou , Zhaojie AU - Liu , Wenbin JO - Numerical Mathematics: Theory, Methods and Applications VL - 3 SP - 827 EP - 854 PY - 2024 DA - 2024/08 SN - 17 DO - http://doi.org/10.4208/nmtma.OA-2023-0116 UR - https://global-sci.org/intro/article_detail/nmtma/23376.html KW - Nonconforming virtual element method, SUPG stabilization, convection dominated diffusion equation, a priori error estimate. AB -

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.

Qiming Wang, Zhaojie Zhou & Wenbin Liu. (2024). A Priori Error Estimate of Nonconforming Virtual Element Method for Convection Dominated Diffusion Equation. Numerical Mathematics: Theory, Methods and Applications. 17 (3). 827-854. doi:10.4208/nmtma.OA-2023-0116
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