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Engineering with Computers
Erschienen in: Engineering with Computers 1/2024

24.03.2023 | Original Article

A parallel two-grid method based on finite element approximations for the 2D/3D Navier–Stokes equations with damping

verfasst von: Eid Wassim, Bo Zheng, Yueqiang Shang

Erschienen in: Engineering with Computers | Ausgabe 1/2024

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Abstract

Based on two-grid discretizations, this paper introduces a parallel finite element method for the 2D/3D Navier–Stokes equations with damping. In this method, we first solve a fully nonlinear problem on a global coarse grid, and then solve linearized residual subproblems in overlapping fine grid subdomains to update the coarse grid solution by some local and parallel procedures. With the help of local a priori estimate for the finite element solution, errors of the approximate solution from the proposed method are estimated. Performance of the proposed method is also illustrated by some numerical tests.
Vorheriger Artikel Modelling of viscoelastic materials using non-ordinary state-based peridynamics
Nächster Artikel A fast boundary node method for transient scalar waves in domains with localized inhomogeneities

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Metadaten
Titel
A parallel two-grid method based on finite element approximations for the 2D/3D Navier–Stokes equations with damping
verfasst von
Eid Wassim
Bo Zheng
Yueqiang Shang
Publikationsdatum
24.03.2023
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 1/2024
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-023-01807-w

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