Two‐level methods based on the Arrow–Hurwicz iteration for the steady incompressible magnetohydrodynamic system
DOI10.1002/num.23010MaRDI QIDQ6088148
Md. Abdullah Al Mahbub, Binbin Du, Haibiao Zheng, Jian-Guo Huang
Publication date: 13 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Numerical computation of solutions to systems of equations (65H10) PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) 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) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Cites Work
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- A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
- Optimal relaxation parameter for the Uzawa method
- Solving steady incompressible Navier-Stokes equations by the Arrow-Hurwicz method
- Block-implicit multigrid solution of Navier-Stokes equations in primitive variables
- A two-level Newton, finite element algorithm for approximating electrically conducting incompressible fluid flows
- A two-level discretization method for the stationary MHD equations
- Mixed finite element methods for stationary incompressible magneto-hydrodynamics
- Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics
- Local and parallel finite element algorithm based on the partition of unity method for the incompressible MHD flow
- A robust solver for the finite element approximation of stationary incompressible MHD equations in 3D
- Numerical analysis of an artificial compression method for magnetohydrodynamic flows at low magnetic Reynolds numbers
- Mixed finite element approximation of incompressible MHD problems based on weighted regularization
- Two-grid Arrow-Hurwicz methods for the steady incompressible Navier-Stokes equations
- The Arrow-Hurwicz iterative finite element method for the stationary magnetohydrodynamics flow
- A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and \(\operatorname{div} B = 0\)
- Some iterative finite element methods for steady Navier-Stokes equations with different viscosities
- Convergence of a \(\boldsymbol{B}\)-\(\boldsymbol{E}\) based finite element method for MHD models on Lipschitz domains
- 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 stabilized finite element methods for the steady Navier-Stokes problem
- A simplified two-level method for the steady Navier-Stokes equations
- A Multigrid Solver based on Distributive Smoother and Residual Overweighting for Oseen Problems
- Some mathematical questions related to the 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
- Fast Uzawa algorithms for solving non‐symmetric stabilized saddle point problems
- Two-level finite element method with a stabilizing subgrid for the incompressible MHD equations
- The Convergence Factor of Preconditioned Algorithms of the Arrow–Hurwicz Type
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- A Novel Two-Grid Method for Semilinear Elliptic Equations
- Structure-preserving finite element methods for stationary MHD models
- Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
- New development in freefem++
- Uzawa type algorithms for nonsymmetric saddle point problems
- The Generalized Arrow-Hurwicz Method with Applications to Fluid Computation
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