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A Non-Consistent Virtual Element Method for Reaction Diffusion Equations

A Non-Consistent Virtual Element Method for Reaction Diffusion Equations
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Year:    2020

Author:    Fang Feng, Jianguo Huang, Yue Yu

East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 4 : pp. 786–799

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.150320.110520

East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 4 : pp. 786–799

Published online:    2020-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Virtual element method reaction-diffusion problem non-consistent enhancement technique error analysis.

Author Details

Fang Feng

Jianguo Huang

Yue Yu

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