On the error estimates for the divergence-free wavelet-based projection method - EDP
Preprints, Working Papers, ... Year : 2024

On the error estimates for the divergence-free wavelet-based projection method

Abstract

We investigate the stability and convergence of the divergence-free wavelet-based projection method applied to the Navier-Stokes equations. Our analysis shows that the convergence rates of velocity and pressure in the time discretization are of the same order, even when using a second order scheme. This is in contrast to conventional methods, which typically suffer a loss of a factor of 1/2 in the pressure approximation. Numerical experiments on benchmark flows validate the theoretical results and highlight the efficiency of our approach.
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Dates and versions

hal-04459438 , version 1 (15-02-2024)

Identifiers

  • HAL Id : hal-04459438 , version 1

Cite

Souleymane Kadri Harouna, Valérie Perrier. On the error estimates for the divergence-free wavelet-based projection method. 2024. ⟨hal-04459438⟩
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