Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations

DOI10.1016/j.amc.2017.01.003zbMath1411.76078OpenAlexW2573129849MaRDI QIDQ1735275

Haiyan Su, Tielei Zhu, Xinlong Feng

Publication date: 28 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2017.01.003

zbMATH Keywords

mixed finite element methodgeometric convergencemagnetohydrodynamic equationsUzawa algorithms

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (9)

On two-level Oseen penalty iteration methods for the 2D/3D stationary incompressible magnetohydronamics ⋮ A generalized parametric iterative finite element method for the 2D/3D stationary incompressible magnetohydrodynamics ⋮ Numerical analysis of Crank–Nicolson method for simplified <scp>magnetohydrodynamics</scp> with linear time relaxation ⋮ Local and parallel finite element algorithms for magnetohydrodynamic flows with low electromagnetic Reynolds number ⋮ A partitioned finite element scheme based on Gauge-Uzawa method for time-dependent MHD equations ⋮ The Generalized Arrow-Hurwicz Method with Applications to Fluid Computation ⋮ The Arrow-Hurwicz iterative finite element method for the stationary magnetohydrodynamics flow ⋮ Numerical analysis of an artificial compression method for magnetohydrodynamic flows at low magnetic Reynolds numbers ⋮ Optimal error estimates of penalty based iterative methods for steady incompressible magnetohydrodynamics equations with different viscosities

Cites Work

• Unnamed Item
• Convergence of some finite element iterative methods related to different Reynolds numbers for the 2D/3D stationary incompressible magnetohydrodynamics
• Approximation of the inductionless MHD problem using a stabilized finite element method
• Finite element approximation of the Navier-Stokes equations
• A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
• Optimal relaxation parameter for the Uzawa method
• Two-level coupled and decoupled parallel correction methods for stationary incompressible magnetohydrodynamics
• Stabilized finite element approximation of the stationary magneto-hydrodynamics equations
• A two-level Newton, finite element algorithm for approximating electrically conducting incompressible fluid flows
• A stabilized finite element method for the incompressible magnetohydrodynamic equations
• Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics
• Mixed finite element approximation of incompressible MHD problems based on weighted regularization
• Decoupled schemes for unsteady MHD equations. II: Finite element spatial discretization and numerical implementation
• Two-level Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics
• Some Uzawa methods for steady incompressible Navier-Stokes equations discretized by mixed element methods
• Unconditional convergence of the Euler semi-implicit scheme for the 3D incompressible MHD equations
• On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics
• Two-level finite element method with a stabilizing subgrid for the incompressible MHD equations
• Streamline diffusion finite element method for stationary incompressible magnetohydrodynamics
• Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations

This page was built for publication: Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations