Local and parallel finite element algorithms for magnetohydrodynamic flows with low electromagnetic Reynolds number

DOI10.1007/s11075-022-01484-8OpenAlexW4316097113MaRDI QIDQ6109894

Yao Rong, Guangzhi Du, Shilin Mi

Publication date: 31 July 2023

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-022-01484-8

zbMATH Keywords

parallel algorithmspartition of unitytwo-grid discretizationsmagnetohydrodynamic flows

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65Nxx)

Cites Work

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• A parallel two-grid linearized method for the coupled Navier-Stokes-Darcy problem
• Local and parallel finite element algorithms based on domain decomposition for the 2D/3D Stokes equations with damping
• Local and parallel finite element algorithm based on the partition of unity for incompressible flows
• Local and parallel finite element algorithms for the Stokes problem
• A two-level Newton, finite element algorithm for approximating electrically conducting incompressible fluid flows
• A stabilized finite element method for the incompressible magnetohydrodynamic equations
• A parallel partition of unity scheme based on two-grid discretizations for the Navier-Stokes problem
• Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics
• An efficient two-step algorithm for the stationary incompressible magnetohydrodynamic equations
• Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations
• Local and parallel finite element method for the mixed Navier-Stokes/Darcy model with Beavers-Joseph interface conditions
• Large-time behaviour of solutions to the magneto-hydrodynamics equations
• Local and parallel stabilized finite element algorithms based on the lowest equal-order elements for the steady Navier-Stokes equations
• Decoupled schemes for unsteady MHD equations. II: Finite element spatial discretization and numerical implementation
• Local and parallel finite element post-processing scheme for the Stokes problem
• A novel local and parallel finite element method for the mixed Navier-Stokes-Darcy problem
• Local and parallel finite element methods for the coupled Stokes/Darcy model
• A new local and parallel finite element method for the coupled Stokes-Darcy model
• Local and parallel finite element methods based on two-grid discretizations for a non-stationary coupled Stokes-Darcy model
• Local and parallel finite element methods based on two-grid discretizations for a transient coupled Navier-Stokes/Darcy model
• A parallel stabilized finite element method based on the lowest equal-order elements for incompressible flows
• Two-level penalty Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics equations
• Iterative methods in penalty finite element discretization for the steady MHD equations
• Local and parallel partition of unity scheme for the mixed Navier-Stokes-Darcy problem
• An Introduction to Magnetohydrodynamics
• Local and Parallel Finite Element Algorithms Based on the Partition of Unity for the Stokes Problem
• 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
• Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
• On the finite element approximation of incompressible flows of an electrically conducting fluid
• Variational methods for stationary MHD flow under natural interface conditions
• Local and parallel finite element algorithms based on two-grid discretizations
• Decoupled schemes for unsteady MHD equations. I. time discretization
• Local and parallel finite element algorithm for stationary incompressible magnetohydrodynamics
• General Relativistic Hydrodynamics and Magnetohydrodynamics: Hyperbolic Systems in Relativistic Astrophysics
• A finite element method for magnetohydrodynamics

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