A two-level finite element method with grad-div stabilizations for the incompressible Navier–Stokes equations

Shang, Yueqiang

doi:10.1016/j.cam.2024.115865

Journal of Computational and Applied Mathematics

2024

DOI: 10.1016/j.cam.2024.115865

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A two-level finite element method with grad-div stabilizations for the incompressible Navier–Stokes equations

Yueqiang Shang

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2024

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Improved defect-correction algorithms for the Navier–Stokes equations at small viscosity

Zhang,

Huang

2024

Physics of Fluids

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In this article, based on finite element discretization, we propose some improved defect-correction algorithms for solving the stationary Navier–Stokes equations with small viscosity. The proposed algorithms are mainly inspired by the idea of the grad-div stabilized method and error correction technique. Maintaining the benefit of the usual defect-correction method, the proposed algorithms further improve the ability to solve problems with small viscosity and have a fast convergence rate. Moreover, stability analysis and error estimation of these algorithms are provided under the uniqueness requirement. Finally, some numerical experiments are tested to illustrate the effectiveness of the presented algorithms for small viscosity problem.

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Improved defect-correction algorithms for the Navier–Stokes equations at small viscosity

Zhang,

Huang

2024

Physics of Fluids

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A two-level finite element method with grad-div stabilizations for the incompressible Navier–Stokes equations

Cited by 1 publication

References 55 publications

Improved defect-correction algorithms for the Navier–Stokes equations at small viscosity

Improved defect-correction algorithms for the Navier–Stokes equations at small viscosity

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