A constrained transport divergence-free finite element method for incompressible MHD equations
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Publication:2128333
DOI10.1016/j.jcp.2020.109980OpenAlexW3080854324MaRDI QIDQ2128333
Weiying Zheng, Donghang Zhang, Ling-Xiao Li
Publication date: 21 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.09244
magnetohydrodynamic equationsblock preconditionerconstrained transportmagnetic vector potentialdivergence-free finite element method
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Uses Software
Cites Work
- A consistent and conservative scheme for MHD flows with complex boundaries on an unstructured Cartesian adaptive system
- A consistent and conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. III: On a staggered mesh
- Stable finite element methods preserving \(\nabla \cdot \boldsymbol{B}=0\) exactly for MHD models
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
- Performance of fully-coupled algebraic multigrid preconditioners for large-scale VMS resistive MHD
- Block recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problem
- Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers
- Implicit adaptive mesh refinement for 2D reduced resistive magnetohydrodynamics
- A method for enforcing the solenoidal condition on magnetic field in numerical calculations
- The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
- \textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner
- MOCCT: A numerical technique for astrophysical MHD
- Mixed finite elements for incompressible magneto-hydrodynamics.
- 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
- A robust solver for the finite element approximation of stationary incompressible MHD equations in 3D
- A semi-implicit energy conserving finite element method for the dynamical incompressible magnetohydrodynamics equations
- A fourth-order accurate finite volume method for ideal MHD via upwind constrained transport
- A consistent and conservative immersed boundary method for MHD flows and moving boundary problems
- Optimal error estimates of penalty based iterative methods for steady incompressible magnetohydrodynamics equations with different viscosities
- Robust preconditioners for incompressible MHD models
- Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton-Krylov-AMG
- A current density conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. II: On an arbitrary collocated mesh
- Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods
- A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
- An Introduction to Magnetohydrodynamics
- Block Preconditioners for Stable Mixed Nodal and Edge finite element Representations of Incompressible Resistive MHD
- Finite Elements and Fast Iterative Solvers
- Field-of-Values Convergence Analysis of Augmented Lagrangian Preconditioners for the Linearized Navier–Stokes Problem
- Anderson Acceleration for Fixed-Point Iterations
- Analysis of Augmented Lagrangian-Based Preconditioners for the Steady Incompressible Navier–Stokes Equations
- On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics
- Preconditioners for the discretized time-harmonic Maxwell equations in mixed form
- Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
- Finite elements in computational electromagnetism
- Monolithic Multigrid Methods for Two-Dimensional Resistive Magnetohydrodynamics
- Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system
- Computational Methods in Plasma Physics
- An Unstaggered, High‐Resolution Constrained Transport Method for Magnetohydrodynamic Flows
- Finite Element Methods for Navier-Stokes Equations
- Vector potentials in three-dimensional non-smooth domains
- A fully divergence-free finite element method for magnetohydrodynamic equations
- A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
- Finite Element Methods for Maxwell's Equations
- Grad-div stablilization for Stokes equations
- A Delta-Regularization Finite Element Method for a Double Curl Problem with Divergence-Free Constraint
- A Block Preconditioner for an Exact Penalty Formulation for Stationary MHD
- A Charge-Conservative Finite Element Method for Inductionless MHD Equations. Part I: Convergence
- An Augmented Lagrangian Preconditioner for the 3D Stationary Incompressible Navier--Stokes Equations at High Reynolds Number
- Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
- Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
- An Augmented Lagrangian‐Based Approach to the Oseen Problem
- A finite element method for magnetohydrodynamics
- Unnamed Item
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