Uniform stability and convergence with respect to \((\nu, \mu, s, 1-\sigma)\) of the three iterative finite element solutions for the 3D steady MHD equations
DOI10.1007/s10915-021-01671-0zbMath1478.35174OpenAlexW3215443467MaRDI QIDQ2053377
Xinlong Feng, Yin-Nian He, XiaoJing Dong
Publication date: 29 November 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01671-0
Numerical optimization and variational techniques (65K10) PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Magnetohydrodynamics and electrohydrodynamics (76W05)
Related Items (4)
Cites Work
- Unnamed Item
- Convergence of some finite element iterative methods related to different Reynolds numbers for the 2D/3D stationary incompressible magnetohydrodynamics
- Divergence-free \(\mathbf{\mathcal{H}}(\mathbf{div})\)-conforming hierarchical bases for magnetohydrodynamics (MHD)
- Stable finite element methods preserving \(\nabla \cdot \boldsymbol{B}=0\) exactly for MHD models
- Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field
- Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations
- A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
- New conditions of stability and convergence of Stokes and Newton iterations for Navier-Stokes equations
- A stable finite element for the Stokes equations
- Error estimates for finite element method solution of the Stokes problem in the primitive variables
- Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics
- A robust solver for the finite element approximation of stationary incompressible MHD equations in 3D
- On the global unique solvability of initial-boundary value problems for the coupled modified Navier-Stokes and Maxwell equations
- On two-level Oseen penalty iteration methods for the 2D/3D stationary incompressible magnetohydronamics
- Optimal convergence analysis of Crank-Nicolson extrapolation scheme for the three-dimensional incompressible magnetohydrodynamics
- Some iterative finite element methods for steady Navier-Stokes equations with different viscosities
- Optimal error estimates of penalty based iterative methods for steady incompressible magnetohydrodynamics equations with different viscosities
- Two-level Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics
- Two-level penalty Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics equations
- Robust preconditioners for incompressible MHD models
- Analysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domain
- Iterative methods in penalty finite element discretization for the steady MHD equations
- 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
- A fully divergence-free finite element method for magnetohydrodynamic equations
- The Oseen Type Finite Element Iterative Method for the Stationary Incompressible Magnetohydrodynamics
- A Block Preconditioner for an Exact Penalty Formulation for Stationary MHD
- Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
This page was built for publication: Uniform stability and convergence with respect to \((\nu, \mu, s, 1-\sigma)\) of the three iterative finite element solutions for the 3D steady MHD equations
