Stability and convergence of spatial discrete stabilized finite volume method for the unsteady incompressible magnetohydrodynamics equations
DOI10.1016/j.apnum.2022.06.003zbMath1502.65086OpenAlexW4283793057MaRDI QIDQ2165878
Publication date: 23 August 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2022.06.003
finite volume methodoptimal error estimates\( L^2\)-projectiontime-dependent incompressible MHD equations
PDEs in connection with fluid mechanics (35Q35) Finite volume methods applied to problems in fluid mechanics (76M12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Magnetohydrodynamics and electrohydrodynamics (76W05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Efficient splitting schemes for magneto-hydrodynamic equations
- An unconditionally stable quadratic finite volume scheme over triangular meshes for elliptic equations
- Convergence and stability of a stabilized finite volume method for the stationary Navier-Stokes equations
- A new stabilized finite element method for the transient Navier-Stokes equations
- A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations
- Optimal control of the time-periodic MHD equations
- A new stabilized finite volume method for the stationary Stokes equations
- A stabilized finite element method for the incompressible magnetohydrodynamic equations
- A note on the optimal \(L^2\)-estimate of the finite volume element method
- Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations
- Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics
- A posteriori error estimates of two-grid finite volume element methods for nonlinear elliptic problems
- On the semi-discrete stabilized finite volume method for the transient Navier-Stokes equations
- Uniformly robust preconditioners for incompressible MHD system
- A rotational velocity-correction projection method for unsteady incompressible magnetohydrodynamics equations
- A decoupled, linear and unconditionally energy stable scheme with finite element discretizations for magneto-hydrodynamic equations
- Stability and convergence of two-level iterative methods for the stationary incompressible magnetohydrodynamics with different Reynolds numbers
- Two-level Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics
- The finite volume method based on stabilized finite element for the stationary Navier-Stokes problem
- A stabilized finite element method based on two local Gauss integrations for the Stokes equations
- A rotational pressure-correction projection methods for unsteady incompressible magnetohydrodynamics equations
- On the relationship between finite volume and finite element methods applied to the Stokes equations
- Unconditional convergence of the Euler semi-implicit scheme for the 3D incompressible MHD equations
- Generalized Difference Methods for a Nonlinear Dirichlet Problem
- On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics
- Finite Element Methods for Navier-Stokes Equations
- Some Error Estimates for the Box Method
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- A stabilized finite element method for the Stokes problem based on polynomial pressure projections
- Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
- On Error Estimates of the Penalty Method for Unsteady Navier–Stokes Equations
- Crank-Nicolson Method of a Two-Grid Finite Volume Element Algorithm for Nonlinear Parabolic Equations
- Two-Grid Finite Volume Element Method Combined with Crank-Nicolson Scheme for Semilinear Parabolic Equations
- A finite element approach for analysis and computational modelling of coupled reaction diffusion models
- Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
- Finite element analysis and approximation of Burgers’‐Fisher equation
- Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
- Study of the mixed finite volume method for Stokes and Navier‐Stokes equations
- Finite Element Methods and Their Applications
This page was built for publication: Stability and convergence of spatial discrete stabilized finite volume method for the unsteady incompressible magnetohydrodynamics equations
