Structure preserving transport stabilized compatible finite element methods for magnetohydrodynamics (Q6126559)

scientific article; zbMATH DE number 7829504

Language	Label	Description	Also known as
English	Structure preserving transport stabilized compatible finite element methods for magnetohydrodynamics	scientific article; zbMATH DE number 7829504

Statements

instance of

scholarly article

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title

Structure preserving transport stabilized compatible finite element methods for magnetohydrodynamics (English)

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Journal of Computational Physics

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publication date

9 April 2024

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full work available at URL

https://arxiv.org/abs/2210.02348

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zbMATH Keywords

magnetohydrodynamics

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compatible finite element method

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structure preservation

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transport stabilization

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MaRDI profile type

MaRDI publication profile

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cites work

Computational design for long-term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow. I

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Finite element exterior calculus, homological techniques, and applications

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Energy-enstrophy conserving compatible finite element schemes for the rotating shallow water equations with slip boundary conditions

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Q5106531

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Mixed Finite Element Methods and Applications

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The effect of nonzero $\bigtriangledown\cdot B$ on the numerical solution of the magnetohydrodynamic equations

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A Unified Analysis for Conforming and Nonconforming Stabilized Finite Element Methods Using Interior Penalty

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Edge stabilization for the generalized Stokes problem: a continuous interior penalty method

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Linear energy-preserving integrators for Poisson systems

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A quasi-Hamiltonian discretization of the thermal shallow water equations

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A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and $\operatorname{div} B = 0$

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Magnetohydrodynamics of Laboratory and Astrophysical Plasmas

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Finite element and higher order difference formulations for modelling heat transport in magnetised plasmas

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Helicity-conservative finite element discretization for incompressible MHD systems

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Stable finite element methods preserving $\nabla \cdot \boldsymbol{B}=0$ exactly for MHD models

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Computational Methods in Plasma Physics

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Structure-preserving and helicity-conserving finite element approximations and preconditioning for the Hall MHD equations

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An Augmented Lagrangian Preconditioner for the Magnetohydrodynamics Equations at High Reynolds and Coupling Numbers

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Petrov-Galerkin flux upwinding for mixed mimetic spectral elements, and its application to geophysical flow problems

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Robust preconditioners for incompressible MHD models

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Q3716538

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A variational $\boldsymbol{H}({\rm div})$ finite-element discretization approach for perfect incompressible fluids

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Firedrake

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Mixed finite element methods for stationary incompressible magneto-hydrodynamics

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An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD

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Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction

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Energy conserving upwinded compatible finite element schemes for the rotating shallow water equations

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Magnetohydrodynamic Relaxation Theory

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Identifiers

arXiv ID

2210.02348

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Mathematics Subject Classification ID

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10.1016/J.JCP.2024.112777

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Sitelinks

Mathematics(1 entry)

mardi Publication:6126559