A fully discrete finite element method for a constrained transport model of the incompressible MHD equations (Q6189272)

scientific article; zbMATH DE number 7787600

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English	A fully discrete finite element method for a constrained transport model of the incompressible MHD equations	scientific article; zbMATH DE number 7787600

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instance of

scholarly article

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title

A fully discrete finite element method for a constrained transport model of the incompressible MHD equations (English)

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published in

ESAIM: Mathematical Modelling and Numerical Analysis

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publication date

12 January 2024

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zbMATH Keywords

MHD equations

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finite element method

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constrained transport

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divergence-free

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error estimate

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MaRDI profile type

MaRDI publication profile

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cites work

Finite element exterior calculus, homological techniques, and applications

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Fortin operator and discrete compactness for edge elements

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

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A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations

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Q3837833

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Singularities of electromagnetic fields in polyhedral domains

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An Introduction to Magnetohydrodynamics

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Convergence analysis of Crank-Nicolson extrapolated fully discrete scheme for thermally coupled incompressible magnetohydrodynamic system

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A Delta-Regularization Finite Element Method for a Double Curl Problem with Divergence-Free Constraint

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Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection

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A semi-implicit energy conserving finite element method for the dynamical incompressible magnetohydrodynamics equations

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Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

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Finite Element Methods for Navier-Stokes Equations

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A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics

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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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Generalized Gaffney inequality and discrete compactness for discrete differential forms

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Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations

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New development in freefem++

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Finite elements in computational electromagnetism

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A fully divergence-free finite element method for magnetohydrodynamic equations

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

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Finite Element Methods for Incompressible Flow Problems

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On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows

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A Charge-Conservative Finite Element Method for Inductionless MHD Equations. Part I: Convergence

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A Charge-Conservative Finite Element Method for Inductionless MHD Equations. Part II: A Robust Solver

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A constrained transport divergence-free finite element method for incompressible MHD equations

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Finite Element Methods for Maxwell's Equations

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A consistent and conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. III: On a staggered mesh

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A current density conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. II: On an arbitrary collocated mesh

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A current density conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. I: On a rectangular collocated grid system

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Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system

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Analysis of a semi-implicit structure-preserving finite element method for the nonstationary incompressible magnetohydrodynamics equations

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Mixed finite element methods for stationary incompressible magneto-hydrodynamics

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The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes

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Rank-adaptive tensor methods for high-dimensional nonlinear PDEs

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A decoupled, unconditionally energy stable and charge-conservative finite element method for inductionless magnetohydrodynamic equations

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A fully divergence-free finite element scheme for stationary inductionless magnetohydrodynamic equations

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Analysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domain

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Second order unconditionally convergent and energy stable linearized scheme for MHD equations

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Analysis of finite element approximation for time-dependent Maxwell problems

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Identifiers

zbMATH Open document ID

1530.65126

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6189272