The Crank-Nicolson extrapolation stabilized finite element method for natural convection problem
type: Item
instance of: scholarly article
title: The Crank-Nicolson extrapolation stabilized finite element method for natural convection problem
zbMATH Open document ID: 1407.76080
DOI: 10.1155/2014/393494
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper studies a fully discrete Crank-Nicolson linear extrapolation stabilized finite element method for the natural convection problem, which is unconditionally stable and has second order temporal accuracy of \(O(\Delta t^2 + h \Delta t + h^m)\). A simple artificial viscosity stabilized of the linear system for the approximation of the new time level connected to antidiffusion of its effects at the old time level is used. An unconditionally stability and an a priori error estimate are derived for the fully discrete scheme. A series of numerical results are presented that validate our theoretical findings.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 7016333
Wikidata QID: Q59064977
author: Yunzhang Zhang
author: Yanren Hou
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/393494
OpenAlex ID: W2120074927
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description: scientific article; zbMATH DE number 7016333