Mixed finite element methods for the Oseen problem
type: Item
instance of: scholarly article
title: Mixed finite element methods for the Oseen problem
zbMATH Open document ID: 1457.76099
author: Mohamed Farhloul
published in: Numerical Algorithms
publication date: 2020-07-15T00:00:00Z
review text: In the paper the author reformulates the Oseen problem using tensor gradient of velocity as a new variable. This reduces the initial system of PDEs to a system of the first-order equations. In turn, these relations are rewritten in mixed form using scalar products in Sobolev spaces. It allows to use finite element method with Raviart-Thomas elements to solve the problem. In such a way all the desired functions will be approximated by piecewise continuous polynomials. The main result of the paper is power estimation of approximation errors.
reviewed by: Aleksey Syromyasov
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 7221107
zbMATH Keywords: tensor velocity gradient
zbMATH Keywords: Raviart-Thomas element
zbMATH Keywords: error estimate
zbMATH Keywords: piecewise polynomial approximation
MaRDI profile type: Publication
full work available at URL: s11075-020-00879-9
OpenAlex ID: W3001281533
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DOI: 10.1007/S11075-020-00879-9
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description: scientific article; zbMATH DE number 7221107