Two-level coupled and decoupled parallel correction methods for stationary incompressible magnetohydrodynamics

DOI10.1007/S10915-015-9994-6zbMath1328.65250OpenAlexW2073354190MaRDI QIDQ897120

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

Publication date: 17 December 2015

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-015-9994-6

zbMATH Keywords

magnetohydrodynamicstwo-level finite element methodcoupled correctiondecoupled parallel correctionphysics parameters

Mathematics Subject Classification ID

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)

Related Items (15)

Two-level Newton iterative method based on nonconforming finite element discretization for 2D/3D stationary MHD equations ⋮ Two-level Picard coupling correction finite element method based on charge-conservation for stationary inductionless magnetohydrodynamic equations ⋮ Two-level finite element methods for the steady bio-convection flows problem ⋮ A generalized parametric iterative finite element method for the 2D/3D stationary incompressible magnetohydrodynamics ⋮ Efficient interior penalty discontinuous Galerkin projection method with unconditional energy stability and second-order temporal accuracy for the incompressible magneto-hydrodynamic system ⋮ Two‐level stabilized finite volume method for the stationary incompressible magnetohydrodynamic equations ⋮ New analysis of mixed FEMs for dynamical incompressible magnetohydrodynamics ⋮ Stability and convergence of semi-implicit time-stepping algorithm for stationary incompressible magnetohydrodynamics ⋮ Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations ⋮ Uniform error estimates of finite element method for a 3D semilinear elliptic problem with small viscosity ⋮ Two level penalty finite element methods for the stationary incompressible magnetohydrodynamics problem ⋮ Convergence of a \(\boldsymbol{B}\)-\(\boldsymbol{E}\) based finite element method for MHD models on Lipschitz domains ⋮ Highly efficient and energy stable schemes for the 2D/3D diffuse interface model of two-phase magnetohydrodynamics ⋮ Optimal error estimates of penalty based iterative methods for steady incompressible magnetohydrodynamics equations with different viscosities ⋮ Two-level penalty Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics equations

Cites Work

• Unnamed Item
• A mixed DG method for linearized incompressible magnetohydrodynamics
• A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
• Two regularity criteria for the 3D MHD equations
• 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 two-level discretization method for the stationary MHD equations
• Mixed finite element methods for stationary incompressible magneto-hydrodynamics
• A stabilized finite element method for the incompressible magnetohydrodynamic equations
• Mixed finite element approximation of incompressible MHD problems based on weighted regularization
• Two-level Picard and modified Picard methods for the Navier-Stokes equations
• Large-time behaviour of solutions to the magneto-hydrodynamics equations
• A two-level discretization method for the Navier-Stokes equations
• On the regularity criteria for weak solutions to the magnetohydrodynamic equations
• On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics
• Two-level stabilized finite element methods for the steady Navier-Stokes problem
• A simplified two-level method for the steady Navier-Stokes equations
• Two-grid finite-element schemes for the transient Navier-Stokes problem
• A Nodal-based Finite Element Approximation of the Maxwell Problem Suitable for Singular Solutions
• Some mathematical questions related to the mhd equations
• Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements
• 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
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• Analysis and Numerical Approximation of a Stationary MHD Flow Problem with Nonideal Boundary
• A Novel Two-Grid Method for Semilinear Elliptic Equations
• Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
• A finite element method for magnetohydrodynamics
• Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra

This page was built for publication: Two-level coupled and decoupled parallel correction methods for stationary incompressible magnetohydrodynamics