Error analysis of a fully discrete projection method for magnetohydrodynamic system
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Publication:6086325
DOI10.1002/num.22941OpenAlexW4308314981WikidataQ115397098 ScholiaQ115397098MaRDI QIDQ6086325
Xiaonian Long, Shipeng Mao, Qianqian Ding, Xiaoming He
Publication date: 12 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22941
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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
- Stable finite element methods preserving \(\nabla \cdot \boldsymbol{B}=0\) exactly for MHD models
- Unconditional superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{rot}\) nonconforming finite element
- A mixed DG method for linearized incompressible magnetohydrodynamics
- A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
- Stable discretization of magnetohydrodynamics in bounded domains
- Application of a fractional-step method to incompressible Navier-Stokes equations
- Mixed finite elements in \(\mathbb{R}^3\)
- 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
- Mixed finite element methods for stationary incompressible magneto-hydrodynamics
- Fortin operator and discrete compactness for edge elements
- Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations
- Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation
- A second-order projection method for the incompressible Navier-Stokes equations
- Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
- Singularities of electromagnetic fields in polyhedral domains
- A semi-implicit energy conserving finite element method for the dynamical incompressible magnetohydrodynamics equations
- Convergence analysis of Crank-Nicolson extrapolated fully discrete scheme for thermally coupled incompressible magnetohydrodynamic system
- Anisotropic adaptive finite element method for magnetohydrodynamic flow at high Hartmann numbers
- Robust preconditioners for incompressible MHD models
- On the Cauchy problem for the compressible Hall-magneto-hydrodynamics equations
- Error estimates for finite element approximations of consistent splitting schemes for incompressible flows
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
- An Introduction to Magnetohydrodynamics
- Block Preconditioners for Stable Mixed Nodal and Edge finite element Representations of Incompressible Resistive MHD
- Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations
- Numerical analysis of two partitioned methods for uncoupling evolutionary MHD flows
- Unconditionally stable operator splitting algorithms for the incompressible magnetohydrodynamics system discretized by a stabilized finite element formulation based on projections
- Some mathematical questions related to the mhd equations
- Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations
- 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
- 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
- Finite elements in computational electromagnetism
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system
- Error analysis of fully discrete velocity-correction methods for incompressible flows
- Finite Element Methods for Navier-Stokes Equations
- On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
- Mixed and Hybrid Finite Element Methods
- Singularities of Corner Problems and Problems of Corner Singularities
- A fully divergence-free finite element method for magnetohydrodynamic equations
- Finite Element Methods for Maxwell's Equations
- 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
- Superconvergence analysis for nonlinear reaction‐diffusion equation with BDF‐FEM
- 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
- On error estimates of some higher order penalty-projection methods for Navier-Stokes equations
- Finite Difference Approximation for Pricing the American Lookback Option
- A finite element method for magnetohydrodynamics
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