Solving steady incompressible Navier-Stokes equations by the Arrow-Hurwicz method

DOI10.1016/j.cam.2016.07.010zbMath1382.76161OpenAlexW2505672256MaRDI QIDQ730525

Puyin Chen, Huashan Sheng, Jian-Guo Huang

Publication date: 28 December 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.07.010

zbMATH Keywords

Navier-Stokes equationsmixed element methodconvergence rate analysisArrow-Hurwicz method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (14)

The Arrow-Hurwicz iterative finite element method for the stationary thermally coupled incompressible magnetohydrodynamics flow ⋮ Transformed primal-dual methods for nonlinear saddle point systems ⋮ Two‐level methods based on the Arrow–Hurwicz iteration for the steady incompressible magnetohydrodynamic system ⋮ An improved Arrow-Hurwicz method for the steady-state Navier-Stokes equations ⋮ State estimation for complex-valued memristive neural networks with time-varying delays ⋮ Adaptive finite-time tracking control for nonlinear systems with unmodeled dynamics using neural networks ⋮ Design disturbance attenuating controller for memristive recurrent neural networks with mixed time-varying delays ⋮ Secure quantum network coding based on quantum homomorphic message authentication ⋮ Two-grid Arrow-Hurwicz methods for the steady incompressible Navier-Stokes equations ⋮ The Generalized Arrow-Hurwicz Method with Applications to Fluid Computation ⋮ The Arrow-Hurwicz iterative finite element method for the stationary magnetohydrodynamics flow ⋮ Graph-theoretic approach to synchronizing delayed coupled systems on networks via periodically intermittent control ⋮ Improved convergence of the Arrow-Hurwicz iteration for the Navier-Stokes equation via grad-div stabilization and Anderson acceleration ⋮ A universal protocol for controlled bidirectional quantum state transmission

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite element approximation of the Navier-Stokes equations
• Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations
• Optimal relaxation parameter for the Uzawa method
• Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• Some iterative finite element methods for steady Navier-Stokes equations with different viscosities
• New preconditioners for saddle point problems
• A relaxed deteriorated PSS preconditioner for nonsymmetric saddle point problems from the steady Navier-Stokes equation
• Some Uzawa methods for steady incompressible Navier-Stokes equations discretized by mixed element methods
• Finite Elements and Fast Iterative Solvers
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• Mixed Finite Element Methods and Applications
• Preconditioning
• The Mathematical Theory of Finite Element Methods

This page was built for publication: Solving steady incompressible Navier-Stokes equations by the Arrow-Hurwicz method