Numerical analysis for backward Euler spectral discretization for Stokes equations with boundary conditions involving the pressure: part II
Authors: 
O. Boussoufa, Y. Daikh, D. YakoubiAuthors Info & Claims
Abstract
In this study, we provide a nonconforming spectral approach for the Stokes equations with nonstandard boundary conditions on a single domain. The discrete spaces are defined in such a way that the discrete approximations for the velocity are exactly divergence-free. We provide a novel discrete inf-sup condition from which pressure error estimates are derived. Several numerical experiments are provided to demonstrate the method’s interest.
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Boussoufa O, Daikh Y, and Yakoubi D Numerical analysis for backward Euler spectral discretization for Stokes equations with boundary conditions involving the pressure. I Calcolo 2023 60 2 27 Id/No 25
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Publication History
Published: 08 October 2024
Accepted: 24 September 2024
Revision received: 03 May 2024
Received: 13 March 2023
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