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24-01-2020 | Original Paper | Issue 4/2020

Mixed finite element methods for the Oseen problem

Journal:: Numerical Algorithms > Issue 4/2020

Author:: Mohamed Farhloul

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Abstract

The aim of this paper is to develop and analyze mixed finite element methods for the Oseen problem using the tensor gradient of velocity as a new unknown. We prove that the new variational formulation and the corresponding Galerkin scheme are well-posed. We also provide optimal order error estimates for the velocity, the pressure, and the gradient of velocity when each row of the velocity gradient is approximated by Raviart–Thomas elements and the velocity and the pressure are approximated by discontinuous piecewise polynomials.

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Title: Mixed finite element methods for the Oseen problem
Author:: Mohamed Farhloul
Publication date: 24-01-2020
DOI: https://doi.org/10.1007/s11075-020-00879-9
Publisher: Springer US
Journal: Numerical Algorithms
Issue 4/2020
Print ISSN: 1017-1398
Electronic ISSN: 1572-9265

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