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Convergence analysis of a fully discrete finite element method for thermally coupled incompressible MHD problems with temperature-dependent coefficients - MaRDI portal

Convergence analysis of a fully discrete finite element method for thermally coupled incompressible MHD problems with temperature-dependent coefficients (Q5074262)

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scientific article; zbMATH DE number 7523326

Language	Label	Description	Also known as
English	Convergence analysis of a fully discrete finite element method for thermally coupled incompressible MHD problems with temperature-dependent coefficients	scientific article; zbMATH DE number 7523326

Statements

scholarly article

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Convergence analysis of a fully discrete finite element method for thermally coupled incompressible MHD problems with temperature-dependent coefficients (English)

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ESAIM: Mathematical Modelling and Numerical Analysis

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publication date

9 May 2022

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zbMATH Keywords

magnetohydrodynamics

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temperature-dependent coefficients

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finite element method

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well-posedness

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convergence

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error estimates

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1051/m2an/2022028

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Nonlinear Galerkin methods and mixed finite elements: Two-grid algorithms for the Navier-Stokes equations

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Vector potentials in three-dimensional non-smooth domains

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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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Fortin operator and discrete compactness for edge elements

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Mixed Finite Element Methods and Applications

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On the stability of the $L^2$ projection in $H^1(\Omega)$

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Mixed and Hybrid Finite Element Methods

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Merging the Bramble-Pasciak-Steinbach and the Crouzeix-Thomée criterion for $H^1$-stability of the $L^2$-projection onto finite element spaces

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Modeling and Application of Electromagnetic and Thermal Field in Electrical Engineering

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Singularities of electromagnetic fields in polyhedral domains

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Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements

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Singularities of Corner Problems and Problems of Corner Singularities

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An Introduction to Magnetohydrodynamics

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Optimal convergence analysis of Crank-Nicolson extrapolation scheme for the three-dimensional incompressible magnetohydrodynamics

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Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions

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

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Comparison between two numerical methods for a magnetostatic problem

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Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

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Elliptic partial differential equations of second order

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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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Mixed finite element approximation of an MHD problem involving conducting and insulating regions: The 3D case

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

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Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization

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Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization

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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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Global stability of combination of viscous contact wave with rarefaction wave for compressible Navier–Stokes equations with temperature-dependent viscosity

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Stability of partitioned methods for magnetohydrodynamics flows at small magnetic Reynolds number

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Stationary solutions for generalized Boussinesq models

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The initial value problem for a generalized Boussinesq model

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Thermally coupled, stationary, incompressible MHD flow; existence, uniqueness, and finite element approximation

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On electromagnetically and thermally driven liquid-metal flows.

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Finite Element Methods for Maxwell's Equations

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Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe

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Effects of temperature dependent viscosity on peristaltic flow of a Jeffrey-six constant fluid in a non-uniform vertical tube

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Mixed finite elements in \(\mathbb{R}^3\)

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Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system

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Strong stability preserving second derivative general linear methods with Runge-Kutta stability

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Partitioned time-stepping scheme for an MHD system with temperature-dependent coefficients

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Mixed finite element methods for stationary incompressible magneto-hydrodynamics

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Some mathematical questions related to the mhd equations

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Compact sets in the space \(L^ p(0,T;B)\)

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Error estimates for finite element approximations of drag and lift in nonstationary Navier-Stokes flows

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Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients

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Finite element approximation for equations of magnetohydrodynamics

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Finite Difference Approximation for Pricing the American Lookback Option

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

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1051/M2AN/2022028

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Sitelinks

Mathematics(1 entry)

mardi Publication:5074262

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