Streamline diffusion finite element method for stationary incompressible magnetohydrodynamics

DOI10.1002/num.21882zbMath1446.76188OpenAlexW1540157221MaRDI QIDQ4982259

Yan Zhang, Yin-Nian He, Guo-Dong Zhang

Publication date: 24 March 2015

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21882

zbMATH Keywords

magnetohydrodynamicsstreamline diffusion finite element methodLBB condition

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05)

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Cites Work

• A mixed DG method for linearized incompressible magnetohydrodynamics
• A modified streamline diffusion method for solving the stationary Navier- Stokes equation
• Stabilized finite element approximation of the stationary magneto-hydrodynamics equations
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Mixed finite element methods for stationary incompressible magneto-hydrodynamics
• A stabilized finite element method for the incompressible magnetohydrodynamic equations
• On the global unique solvability of initial-boundary value problems for the coupled modified Navier-Stokes and Maxwell equations
• Theory and practice of finite elements.
• Mixed finite element approximation of incompressible MHD problems based on weighted regularization
• On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics
• Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
• Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system
• Finite Element Methods for Navier-Stokes Equations
• Analysis and Numerical Approximation of a Stationary MHD Flow Problem with Nonideal Boundary
• The Analysis of a Finite Element Method with Streamline Diffusion for the Compressible Navier--Stokes Equations
• Analysis of a Streamline Diffusion Finite Element Method for the Stokes and Navier–Stokes Equations
• Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
• A finite element method for magnetohydrodynamics