A stabilized Gauge-Uzawa discontinuous Galerkin method for the magneto-hydrodynamic equations

PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

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Efficient splitting schemes for magneto-hydrodynamic equations
Error analysis of first-order projection method for time-dependent magnetohydrodynamics equations
Error analysis of a fractional-step method for magnetohydrodynamics equations
Locally divergence-free discontinuous Galerkin methods for MHD equations
A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows
A mixed DG method for linearized incompressible magnetohydrodynamics
Unconditionally optimal convergence analysis of second-order BDF Galerkin finite element scheme for a hybrid MHD system
Gauge-Uzawa methods for incompressible flows with variable density
Stable discretization of magnetohydrodynamics in bounded domains
Mixed finite elements in \(\mathbb{R}^3\)
A discontinuous Galerkin method for the viscous MHD equations
A stabilized finite element method for the incompressible magnetohydrodynamic equations
Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations
On an efficient second order backward difference Newton scheme for MHD system
Decoupled, semi-implicit scheme for a coupled system arising in magnetohydrodynamics problem
Temporal error analysis of Euler semi-implicit scheme for the magnetohydrodynamics equations with variable density
A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations
Temporal convergence analysis of an energy preserving projection method for a coupled magnetohydrodynamics equations
A decoupled, linear and unconditionally energy stable scheme with finite element discretizations for magneto-hydrodynamic equations
Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the magneto-hydrodynamic equations
Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations
On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics
A new approximate block factorization preconditioner for two-dimensional incompressible (reduced) resistive MHD
Numerical analysis of two partitioned methods for uncoupling evolutionary MHD flows
A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
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
THE GAUGE-UZAWA FINITE ELEMENT METHOD PART II: THE BOUSSINESQ EQUATIONS
Monolithic Multigrid Methods for Two-Dimensional Resistive Magnetohydrodynamics
Interior penalty discontinuous Galerkin method for Maxwell's equations: optimal L2-norm error estimates
Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
DG Approximation of Coupled Navier–Stokes and Darcy Equations by Beaver–Joseph–Saffman Interface Condition
Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations
High degree efficient symmetrical Gaussian quadrature rules for the triangle
An Interior Penalty Finite Element Method with Discontinuous Elements
An Elliptic Collocation-Finite Element Method with Interior Penalties
UNIFORM INF–SUP CONDITIONS FOR THE SPECTRAL DISCRETIZATION OF THE STOKES PROBLEM
Local Discontinuous Galerkin Methods for the Stokes System
Finite Element Methods for Maxwell's Equations
A fully-decoupled discontinuous Galerkin approximation of the Cahn–Hilliard–Brinkman–Ohta–Kawasaki tumor growth model
Optimal error estimates of a Crank–Nicolson finite element projection method for magnetohydrodynamic equations
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence
A mixed DG method and an HDG method for incompressible magnetohydrodynamics
Decoupled schemes for unsteady MHD equations. I. time discretization
Numerical Solution of the Navier-Stokes Equations
The Gauge--Uzawa Finite Element Method. Part I: The Navier--Stokes Equations
Spectral/hp Element Methods for Computational Fluid Dynamics
A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations
A decoupled, unconditionally energy-stable and structure-preserving finite element scheme for the incompressible MHD equations with magnetic-electric formulation
Efficient interior penalty discontinuous Galerkin projection method with unconditional energy stability and second-order temporal accuracy for the incompressible magneto-hydrodynamic system
Block preconditioners for energy stable schemes of magnetohydrodynamics equations
A splitting discontinuous Galerkin projection method for the magneto-hydrodynamic equations
Fully discrete discontinuous Galerkin numerical scheme with second-order temporal accuracy for the hydrodynamically coupled lipid vesicle model
A fully-decoupled discontinuous Galerkin method for the nematic liquid crystal flows with SAV approach
A rotational pressure-correction discontinuous Galerkin scheme for the Cahn-Hilliard-Darcy-Stokes system
Optimal \(H^1\) error analysis of a fractional step finite element scheme for a hybrid MHD system

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