A local projection stabilization virtual element method for convection-diffusion-reaction equation

Yang Li and Minfu Feng

Applied Mathematics and Computation, 2021, vol. 411, issue C

Abstract: In this paper, we propose and analyze a local projection stabilization virtual element method for steady scalar convection-diffusion-reaction problem in the convective-dominated regime. Stability and optimal convergence property in the convective-dominated regime are proven in a suitable norm. Numerical results show that the proposed method is stable at very large Reynolds number and is in good agreement with the expected rate of convergence.

Keywords: Virtual element method; Local projection stabilization; Convection-diffusion-reaction equation (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:411:y:2021:i:c:s0096300321006202

DOI: 10.1016/j.amc.2021.126536

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