Convergence analysis of the fully discrete projection method for inductionless magnetohydrodynamics system based on charge conservation
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Publication:6159243
DOI10.1007/s10915-023-02226-1zbMath1519.76153OpenAlexW4377014019MaRDI QIDQ6159243
Publication date: 20 June 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-023-02226-1
weak solutionfinite element methoddriven cavity flowoptimal error estimateunconditional energy stability
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05)
Cites Work
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- Efficient splitting schemes for magneto-hydrodynamic equations
- Error analysis of first-order projection method for time-dependent magnetohydrodynamics equations
- A consistent and conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. III: On a staggered mesh
- Approximation of the inductionless MHD problem using a stabilized finite element method
- Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe
- On the approximation of the unsteady Navier-Stokes equations by finite element projection methods
- Remarks on the pressure error estimates for the projection methods
- A second-order projection method for the incompressible Navier-Stokes equations
- Error analysis of a conservative finite element scheme for time-dependent inductionless MHD problem
- Fully discrete approximations to the time-dependent Navier-Stokes equations with a projection method in time and grad-div stabilization
- A current density conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. I: On a rectangular collocated grid system
- A current density conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. II: On an arbitrary collocated mesh
- Error estimates for finite element approximations of consistent splitting schemes for incompressible flows
- An Introduction to Magnetohydrodynamics
- On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 1: Theory
- Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
- Finite elements in computational electromagnetism
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- Error analysis of fully discrete velocity-correction methods for incompressible flows
- Mixed and Hybrid Finite Element Methods
- On the error estimates for the rotational pressure-correction projection methods
- Projection Method I: Convergence and Numerical Boundary Layers
- On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
- Some implementations of projection methods for Navier-Stokes equations
- Mixed Finite Element Methods and Applications
- Convergence Analysis of a Finite Element Projection/Lagrange--Galerkin Method for the Incompressible Navier--Stokes Equations
- A consistent projection finite element method for the incompressible MHD equations
- Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
- On Pressure Approximation via Projection Methods for Nonstationary Incompressible Navier–Stokes Equations
- On the Convergence of Discrete Approximations to the Navier-Stokes Equations
- Numerical Solution of the Navier-Stokes Equations
- Finite Difference Approximation for Pricing the American Lookback Option
- Error analysis of a fully discrete projection method for magnetohydrodynamic system
