Robust globally divergence-free weak Galerkin finite element method for incompressible magnetohydrodynamics flow

DOI10.1016/j.cnsns.2023.107810arXiv2310.03247OpenAlexW4390512404MaRDI QIDQ6121812

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Publication date: 27 February 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2310.03247

zbMATH Keywords

error estimateweak Galerkin methodglobally divergence-freeincompressible magnetohydrodynamics flow

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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)

Cites Work

• Unnamed Item
• Unnamed Item
• A weak Galerkin finite element scheme for solving the stationary Stokes equations
• A divergence-free finite element method for a type of 3D Maxwell equations
• Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations
• Stable finite element methods preserving \(\nabla \cdot \boldsymbol{B}=0\) exactly for MHD models
• Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field
• Modeling and simulation of the industrial production of aluminium: The nonlinear approach
• The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations
• A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
• Collision in a cross-shaped domain - A steady 2D Navier-Stokes example demonstrating the importance of mass conservation in CFD
• A weak Galerkin finite element method for the Maxwell equations
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
• Locally divergence-free discontinuous Galerkin methods for the Maxwell equations.
• Mixed finite element methods for stationary incompressible magneto-hydrodynamics
• The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
• A stabilized finite element method for the incompressible magnetohydrodynamic equations
• Second order unconditionally convergent and energy stable linearized scheme for MHD equations
• A divergence-free weak Galerkin method for quasi-Newtonian Stokes flows
• An efficient two-step algorithm for the stationary incompressible magnetohydrodynamic equations
• The origin of spurious solutions in computational electromagnetics
• A weak Galerkin finite element method for second-order elliptic problems
• A semi-implicit energy conserving finite element method for the dynamical incompressible magnetohydrodynamics equations
• A constrained transport divergence-free finite element method for incompressible MHD equations
• Convergence analysis of Crank-Nicolson extrapolated fully discrete scheme for thermally coupled incompressible magnetohydrodynamic system
• Optimal convergence analysis of Crank-Nicolson extrapolation scheme for the three-dimensional incompressible magnetohydrodynamics
• Pressure-robustness and discrete Helmholtz projectors in mixed finite element methods for the incompressible Navier-Stokes equations
• Optimal error estimates of penalty based iterative methods for steady incompressible magnetohydrodynamics equations with different viscosities
• Anisotropic adaptive finite element method for magnetohydrodynamic flow at high Hartmann numbers
• A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
• An Introduction to Magnetohydrodynamics
• A New Divergence-Free Interpolation Operator with Applications to the Darcy–Stokes–Brinkman Equations
• A weak Galerkin mixed finite element method for second order elliptic problems
• On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics
• A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations
• Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system
• On the finite element approximation of incompressible flows of an electrically conducting fluid
• Mixed finite element approximation of an MHD problem involving conducting and insulating regions: The 3D case
• Stability and Error Analysis for the First-Order Euler Implicit/Explicit Scheme for the 3D MHD Equations
• A fully divergence-free finite element method for magnetohydrodynamic equations
• A Posteriori Error Estimator for a Weak Galerkin Finite Element Solution of the Stokes Problem
• Finite element approximation for equations of magnetohydrodynamics
• Grad-div stablilization for Stokes equations
• Streamline diffusion finite element method for stationary incompressible magnetohydrodynamics
• A mixed DG method and an HDG method for incompressible magnetohydrodynamics
• Robust Globally Divergence-Free Weak Galerkin Finite Element Methods for Unsteady Natural Convection Problems
• A Weak Galerkin Finite Element Method for the Navier-Stokes Equations
• Robust Globally Divergence-Free Weak Galerkin Finite Element Methods for Natural Convection Problems
• Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
• Robust Globally Divergence-Free Weak Galerkin Methods for Stokes Equations
• On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
• A weak Galerkin finite element method for the Stokes equations
• Energy-stable mixed finite element methods for a ferrofluid flow model

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