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The spectral implementation of the nonstationary Stokes problem with nonstandard boundary conditions
Journal article   Open access  Peer reviewed

The spectral implementation of the nonstationary Stokes problem with nonstandard boundary conditions

Mohamed Abdelwahed, Nejmeddine Chorfi and Henda Ouertani
Boundary value problems, Vol.2020(1), pp.1-20
13/05/2020
DOI: https://doi.org/10.1186/s13661-020-01387-4

Abstract

Analysis Approximations and Expansions Difference and Functional Equations general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
This paper deals with the implementation of the spectral discretization of the vorticity–velocity–pressure formulation of the nonstationary Stokes problem. We use the implicit Euler scheme for the discretization in time. We propose a global method for the resolution of the linear system resulting from the discrete problem. This method is implemented, and some numerical results are presented which confirm the good convergence for the three unknowns.
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https://doi.org/10.1186/s13661-020-01387-4View
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