Low-order nonconforming mixed finite element methods for stationary incompressible magnetohydrodynamics equations

DOI10.1155/2012/825609zbMath1244.76025OpenAlexW2158272313WikidataQ58907429 ScholiaQ58907429MaRDI QIDQ443108

Zhiyun Yu, Dong-Yang Shi

Publication date: 6 August 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/825609

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (1)

A Low Order Nonconforming Mixed Finite Element Method for Non-Stationary Incompressible Magnetohydrodynamics System

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A mixed DG method for linearized incompressible magnetohydrodynamics
• A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations
• A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
• Optimal control of the time-periodic MHD equations
• A new second-order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations
• Negative norm least-squares methods for the incompressible magnetohydrodynamic equations
• Stabilized finite element approximation of the stationary magneto-hydrodynamics equations
• Low order Crouzeix-Raviart type nonconforming finite element methods for the 3D time-dependent Maxwell's equations
• Nonconforming mixed finite element approximation to the stationary Navier-Stokes equations on anisotropic meshes
• Long-term dissipativity of time-stepping algorithms for an abstract evolution equation with applications to the incompressible MHD and Navier-Stokes equations
• MHD flow past a sphere at low and moderate Reynolds numbers
• Mixed finite element methods for stationary incompressible magneto-hydrodynamics
• A stabilized finite element method for the incompressible magnetohydrodynamic equations
• A coupled system arising in magnetohydrodynamics
• Mixed finite element approximation of incompressible MHD problems based on weighted regularization
• A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier-Stokes equations
• A least squares Galerkin-Petrov nonconforming mixed finite element method for the stationary conduction-convection problem
• Some mathematical questions related to the mhd equations
• A new low-order non-conforming mixed finite-element scheme for second-order elliptic problems
• Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics 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
• Nonconforming finite elements of higher order satisfying a new compatibility condition
• Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system
• Two-level finite element method with a stabilizing subgrid for the incompressible MHD equations
• Finite Element Methods for Navier-Stokes Equations
• Simple nonconforming quadrilateral Stokes element
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• Mixed Finite Element approximation of an MHD problem involving conducting and insulating regions: the 2D case
• P₁-Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems
• Development of a convection–diffusion-reaction magnetohydrodynamic solver on non-staggered grids
• Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation
• Finite element approximation for equations of magnetohydrodynamics
• Variational methods for stationary MHD flow under natural interface conditions
• Finite Element Methods and Their Applications
• Finite Difference Approximation for Pricing the American Lookback Option
• Crouzeix-Raviart type finite elements on anisotropic meshes
• A finite element method for magnetohydrodynamics

This page was built for publication: Low-order nonconforming mixed finite element methods for stationary incompressible magnetohydrodynamics equations