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Helicity-conservative finite element discretization for incompressible MHD systems - MaRDI portal

Helicity-conservative finite element discretization for incompressible MHD systems (Q2131073)

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scientific article; zbMATH DE number 7513848

Language	Label	Description	Also known as
English	Helicity-conservative finite element discretization for incompressible MHD systems	scientific article; zbMATH DE number 7513848

Statements

scholarly article

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Helicity-conservative finite element discretization for incompressible MHD systems (English)

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Journal of Computational Physics

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publication date

25 April 2022

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full work available at URL

https://arxiv.org/abs/2007.07516

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zbMATH Keywords

magnetohydrodynamics

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helicity

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divergence-free

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structure-preserving

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finite element

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describes a project that uses

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MaRDI profile type

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

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Possibility of an inverse cascade of magnetic helicity in magnetohydrodynamic turbulence

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Some developments in the theory of turbulence

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Proximinality in generalized direct sums

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On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics

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Mixed finite element methods for stationary incompressible magneto-hydrodynamics

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A fully divergence-free finite element method for magnetohydrodynamic equations

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Splitting-Based Structure Preserving Discretizations for Magnetohydrodynamics

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Energy and helicity preserving schemes for hydro- and magnetohydro-dynamics flows with symmetry

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An Energy- and Helicity-Conserving Finite Element Scheme for the Navier–Stokes Equations

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Note on helicity balance of the Galerkin method for the 3D Navier-Stokes equations

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A conservative finite element method for the incompressible Euler equations with variable density

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Finite element exterior calculus, homological techniques, and applications

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Finite elements in computational electromagnetism

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Mixed Finite Element Methods and Applications

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A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces

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Robust preconditioners for incompressible MHD models

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Structure-preserving finite element methods for stationary MHD models

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The Idea behind Krylov Methods

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A sharp convergence estimate for the method of subspace corrections for singular systems of equations

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Isogeometric Discrete Differential Forms in Three Dimensions

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Geometric Numerical Integration

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Generalized Gaffney inequality and discrete compactness for discrete differential forms

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Finite Element Methods for Navier-Stokes Equations

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.JCP.2021.110284

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Sitelinks

Mathematics(1 entry)

mardi Publication:2131073

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