Decoupled schemes for unsteady MHD equations. II: Finite element spatial discretization and numerical implementation
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Publication:2007173
DOI10.1016/j.camwa.2015.03.019zbMath1443.65232OpenAlexW2095094619MaRDI QIDQ2007173
Publication date: 12 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2015.03.019
finite elementoptimal error estimatesfull discretizationMHD equationsdecoupled schemealmost unconditional stability
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- On the long-time \(H ^{2}\)-stability of the implicit Euler scheme for the 2D magnetohydrodynamics equations
- A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
- Two regularity criteria for the 3D MHD equations
- Some boundary value problems for differential forms on compact Riemannian manifolds
- Infinite-dimensional dynamical systems in mechanics and physics
- Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe
- Mixed finite element methods for stationary incompressible magneto-hydrodynamics
- A stabilized finite element method for the incompressible magnetohydrodynamic equations
- Partitioning strategies for the interaction of a fluid with a poroelastic material based on a Nitsche's coupling approach
- Large-time behaviour of solutions to the magneto-hydrodynamics equations
- On the regularity criteria for weak solutions to the magnetohydrodynamic equations
- Non-iterative domain decomposition methods for a non-stationary Stokes-Darcy model with Beavers-Joseph interface condition
- On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics
- Nonexistence of self-similar singularities in the viscous magnetohydrodynamics with zero resistivity
- Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equa\-tions
- Su un problema al contorno relativo al sistema di equazioni di Stokes
- Partitioned Time Stepping Method for Fully Evolutionary Stokes--Darcy Flow with Beavers--Joseph Interface Conditions
- Stability of partitioned methods for magnetohydrodynamics flows at small magnetic Reynolds number
- A Nodal-based Finite Element Approximation of the Maxwell Problem Suitable for Singular Solutions
- Decoupled Time Stepping Methods for Fluid-Fluid Interaction
- Some mathematical questions related to the mhd equations
- The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data
- Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements
- 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
- Decoupled schemes for a non-stationary mixed Stokes-Darcy model
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- Induced trajectories and approximate inertial manifolds
- Analysis and Numerical Approximation of a Stationary MHD Flow Problem with Nonideal Boundary
- Approximation of the global attractor for the incompressible Navier-Stokes equations
- Finite element approximation for equations of magnetohydrodynamics
- A decoupling method with different subdomain time steps for the nonstationary stokes–darcy model
- Analysis of Long Time Stability and Errors of Two Partitioned Methods for Uncoupling Evolutionary Groundwater--Surface Water Flows
- New development in freefem++
- Streamline diffusion finite element method for stationary incompressible magnetohydrodynamics
- Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
- Decoupled schemes for unsteady MHD equations. I. time discretization
- Stability and Convergence of the Crank–Nicolson/Adams–Bashforth scheme for the Time‐Dependent Navier–Stokes Equations
- Global Small Solutions to an MHD‐Type System: The Three‐Dimensional Case
- Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems
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