A parallel finite element method based on fully overlapping domain decomposition for the steady-state Smagorinsky model

B Zheng, Y Shang - Computers & Mathematics with Applications, 2023 - Elsevier
An efficient parallel finite element method is introduced for solving the steady-state
Smagorinsky model in which a fully overlapping domain decomposition is considered for …

A parallel grad-div stabilized finite element algorithm for the Stokes equations with damping

Y Jiang, B Zheng, Y Shang - Computers & Mathematics with Applications, 2023 - Elsevier
This work studies a parallel grad-div stabilized finite element algorithm for the damped
Stokes equations. In this algorithm, in the light of a fully overlapping domain decomposition …

[HTML][HTML] Two-level mixed finite element methods for the Navier–Stokes equations with damping

M Li, D Shi, Z Li, H Chen - Journal of Mathematical Analysis and …, 2019 - Elsevier
In this paper, the mixed finite element methods are considered for the Navier–Stokes
equations with damping. Optimal error estimates of the H 1-norm and L 2-norm for the …

Local and parallel finite element algorithms based on domain decomposition for the 2D/3D Stokes equations with damping

B Zheng, Y Shang - Computers & Mathematics with Applications, 2021 - Elsevier
Based on two-grid discretization and domain decomposition approach, this paper presents
and studies two local and parallel finite element algorithms for the 2D/3D steady Stokes …

Stabilized mixed finite element methods for the Navier‐Stokes equations with damping

Z Li, D Shi, M Li - Mathematical Methods in the Applied …, 2019 - Wiley Online Library
In this paper, the stabilized mixed finite element methods are presented for the Navier‐
Stokes equations with damping. The existence and uniqueness of the weak solutions are …

New subgrid artificial viscosity Galerkin methods for the Navier–Stokes equations

KJ Galvin - Computer methods in applied mechanics and …, 2011 - Elsevier
We study subgrid artificial viscosity methods for approximating solutions to the Navier–
Stokes equations. Two methods are introduced that add viscous stabilization via an artificial …

Multi-level stabilized algorithms for the stationary incompressible Navier–Stokes equations with damping

H Qiu, L Mei - Applied Numerical Mathematics, 2019 - Elsevier
In this article, two multi-level stabilized algorithms for the Navier–Stokes equations with
damping are studied. The algorithms combine the stabilized finite element technique with …

A two-step stabilized finite element algorithm for the Smagorinsky model

B Zheng, Y Shang - Applied Mathematics and Computation, 2022 - Elsevier
This study considers an efficient two-step stabilized finite element algorithm for the
simulation of Smagorinsky model, which involves solving a stabilized nonlinear …

Two-level stabilized method based on Newton iteration for the steady Smagorinsky model

P Huang, X Feng, D Liu - Nonlinear Analysis: Real World Applications, 2013 - Elsevier
A combination method of the Newton iteration and the two-level stabilized finite element
algorithm based on local Gauss integration is constructed for solving numerically the steady …

A parallel grad‐div stabilized finite element algorithm for the Navier–Stokes equations with a nonlinear damping term

Y Jiang, B Zheng, Y Shang - International Journal for Numerical …, 2024 - Wiley Online Library
In this work, we propose a parallel grad‐div stabilized finite element algorithm for the Navier–
Stokes equations attached with a nonlinear damping term, using a fully overlapping domain …