Well-posedness and finite element approximation for the stationary magneto-hydrodynamics problem with temperature-dependent parameters
DOI10.1007/S10915-020-01361-3zbMath1456.65166OpenAlexW3101590804MaRDI QIDQ2219646
Publication date: 20 January 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-020-01361-3
stabilitywell-posednesserror estimationsmixed finite elementgeneralized Boussinesq problemincompressible magneto-hydrodynamics equations
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics
- A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
- Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe
- Long-term dissipativity of time-stepping algorithms for an abstract evolution equation with applications to the incompressible MHD and Navier-Stokes equations
- Mixed finite element methods for stationary incompressible magneto-hydrodynamics
- A stabilized finite element method for the incompressible magnetohydrodynamic equations
- Mixed finite element approximation of incompressible MHD problems based on weighted regularization
- Stationary solutions for generalized Boussinesq models
- A plane problem of incompressible magnetohydrodynamics with viscosity and resistivity depending on the temperature
- Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients
- An Introduction to Magnetohydrodynamics
- Stability of partitioned methods for magnetohydrodynamics flows at small magnetic Reynolds number
- A Dual Mixed Formulation for Non-isothermal Oldroyd–Stokes Problem
- On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics
- Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
- Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system
- Finite Element Methods for Navier-Stokes Equations
- Analysis and Numerical Approximation of a Stationary MHD Flow Problem with Nonideal Boundary
- Large Solutions to the Initial-Boundary Value Problem for Planar Magnetohydrodynamics
- Finite element approximation for equations of magnetohydrodynamics
- Thermally coupled, stationary, incompressible MHD flow; existence, uniqueness, and finite element approximation
- New development in freefem++
- Partitioned time-stepping scheme for an MHD system with temperature-dependent coefficients
- Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
- Algorithm 832
- An exactly divergence-free finite element method for a generalized Boussinesq problem
This page was built for publication: Well-posedness and finite element approximation for the stationary magneto-hydrodynamics problem with temperature-dependent parameters
