A Low Order Nonconforming Mixed Finite Element Method for Non-Stationary Incompressible Magnetohydrodynamics System (Q5881397)

scientific article; zbMATH DE number 7661752

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English	A Low Order Nonconforming Mixed Finite Element Method for Non-Stationary Incompressible Magnetohydrodynamics System	scientific article; zbMATH DE number 7661752

Statements

instance of

scholarly article

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title

A Low Order Nonconforming Mixed Finite Element Method for Non-Stationary Incompressible Magnetohydrodynamics System (English)

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Journal of Computational Mathematics

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publication date

10 March 2023

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zbMATH Keywords

non-stationary incompressible MHD problem

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nonconforming mixed FEM

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optimal order error estimates

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.4208/jcm.2107-m2021-0114

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cites work

Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

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MHD flow past a sphere at low and moderate Reynolds numbers

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Higher-order finite difference schemes for the magnetic induction equations with resistivity

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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 approximation of an MHD problem involving conducting and insulating regions: the 2D case

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A finite element method for magnetohydrodynamics

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A stabilized finite element method for the incompressible magnetohydrodynamic equations

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Stabilized finite element approximation of the stationary magneto-hydrodynamics equations

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Optimal control of the time-periodic MHD equations

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Two-level finite element method with a stabilizing subgrid for the incompressible MHD equations

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Nonlinear Galerkin mixed element methods for stationary incompressible magnetohydrodynamics

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Galerkin-Petrov least squares mixed element method for stationary incompressible magnetohydrodynamics

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Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics

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Mixed finite element methods for stationary incompressible magneto-hydrodynamics

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Mixed finite element approximation of incompressible MHD problems based on weighted regularization

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A mixed DG method for linearized incompressible magnetohydrodynamics

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

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Negative norm least-squares methods for the incompressible magnetohydrodynamic equations

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Locally divergence-free discontinuous Galerkin methods for MHD equations

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Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field

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Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations

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Structure-preserving finite element methods for stationary MHD models

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Long-term dissipativity of time-stepping algorithms for an abstract evolution equation with applications to the incompressible MHD and Navier-Stokes equations

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Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system

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Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations

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Convergence of locally divergence-free discontinuous-Galerkin methods for the induction equations of the 2D-MHD system

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Q5298746

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Numerical analysis of backward-Euler discretization for simplified magnetohydrodynamic flows

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

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Unconditional convergence of the Euler semi-implicit scheme for the 3D incompressible MHD equations

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Error analysis of first-order projection method for time-dependent magnetohydrodynamics equations

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A fully divergence-free finite element method for magnetohydrodynamic equations

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Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes

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

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

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P1-Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems

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A low order anisotropic nonconforming characteristic finite element method for a convection-dominated transport problem

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Two low order characteristic finite element methods for a convection-dominated transport problem

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Conforming and nonconforming finite element methods for solving the stationary Stokes equations I

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Nonconforming Finite Elements for the Stokes Problem

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Simple nonconforming quadrilateral Stokes element

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Error Estimators for Nonconforming Finite Element Approximations of the Stokes Problem

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A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier-Stokes equations

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Crouzeix-Raviart type finite elements on anisotropic meshes

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A discrete de Rham complex with enhanced smoothness

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Finite Difference Approximation for Pricing the American Lookback Option

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A Locally Divergence-Free Interior Penalty Method for Two-Dimensional Curl-Curl Problems

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A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations

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Nonconforming Maxwell eigensolvers

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Q3618381

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Low order Crouzeix-Raviart type nonconforming finite element methods for the 3D time-dependent Maxwell's equations

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Superconvergence and extrapolation analysis of a nonconforming mixed finite element approximation for time-harmonic Maxwell's equations

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Low-order nonconforming mixed finite element methods for stationary incompressible magnetohydrodynamics equations

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Q2865651

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Q3706043

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Finite Element Methods for Navier-Stokes Equations

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Some mathematical questions related to the mhd equations

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Identifiers

DOI

10.4208/jcm.2107-m2021-0114

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5881397