Robust finite elements for linearized magnetohydrodynamics

Variational methods applied to PDEs (35A15) 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) Convection in hydrodynamic stability (76E06) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

Cites Work

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A mixed DG method for linearized incompressible magnetohydrodynamics
Mathematical aspects of discontinuous Galerkin methods.
Grad-div stabilization and subgrid pressure models for the incompressible Navier-Stokes equations
A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
Mixed finite elements for second order elliptic problems in three variables
Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
Long-term dissipativity of time-stepping algorithms for an abstract evolution equation with applications to the incompressible MHD and Navier-Stokes equations
Mixed finite element methods for stationary incompressible magneto-hydrodynamics
A stabilized finite element method for the incompressible magnetohydrodynamic equations
Divergence-free $H(\operatorname{div})$-FEM for time-dependent incompressible flows with applications to high Reynolds number vortex dynamics
Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics
On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows
Pressure-robustness and discrete Helmholtz projectors in mixed finite element methods for the incompressible Navier-Stokes equations
Nodal-based finite element methods with local projection stabilization for linearized incompressible magnetohydrodynamics
On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics
Finite Element Methods for Incompressible Flow Problems
Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations
Continuous Interior Penalty Finite Element Method for Oseen's Equations
Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system
Finite Element Methods for Navier-Stokes Equations
Vector potentials in three-dimensional non-smooth domains
Mixed finite element approximation of an MHD problem involving conducting and insulating regions: The 3D case
A fully divergence-free finite element method for magnetohydrodynamic equations
DISCONTINUOUS GALERKIN METHODS FOR FIRST-ORDER HYPERBOLIC PROBLEMS
The $hp$-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations
Korn's inequalities for piecewise $H^1$ vector fields
Element-oriented and edge-oriented local error estimators for nonconforming finite element methods
Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations
Mixed Finite Element Methods and Applications
Streamline diffusion finite element method for stationary incompressible magnetohydrodynamics
Semirobust analysis of an H(div)-conforming DG method with semi-implicit time-marching for the evolutionary incompressible Navier–Stokes equations
Well-posedness and H(div)-conforming finite element approximation of a linearised model for inviscid incompressible flow
Local projection type stabilization applied to inf-sup stable discretizations of the Oseen problem
TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator
On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
The Mathematical Theory of Finite Element Methods
The virtual element method for the 3D resistive magnetohydrodynamic model
Pressure robust SUPG-stabilized finite elements for the unsteady Navier-Stokes equation

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