Error estimate of a fully discrete finite element method for incompressible vector potential magnetohydrodynamic system
DOI10.1007/s10915-021-01571-3zbMath1493.65148OpenAlexW3189348140MaRDI QIDQ2051089
Shipeng Mao, Xiaonian Long, Qianqian Ding
Publication date: 1 September 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01571-3
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element methods applied to problems in fluid mechanics (76M10) 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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Cites Work
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- Stable finite element methods preserving \(\nabla \cdot \boldsymbol{B}=0\) exactly for MHD models
- A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
- Mixed finite elements in \(\mathbb{R}^3\)
- The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
- Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe
- Mixed finite element methods for stationary incompressible magneto-hydrodynamics
- The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
- A stabilized finite element method for the incompressible magnetohydrodynamic equations
- Fortin operator and discrete compactness for edge elements
- Second order unconditionally convergent and energy stable linearized scheme for MHD 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
- Optimal convergence analysis of Crank-Nicolson extrapolation scheme for the three-dimensional incompressible magnetohydrodynamics
- Optimal error estimates of penalty based iterative methods for steady incompressible magnetohydrodynamics equations with different viscosities
- An Introduction to Magnetohydrodynamics
- 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
- Finite Element Methods for Navier-Stokes Equations
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- Mixed and Hybrid Finite Element Methods
- The initial value problem for a generalized Boussinesq model
- Singularities of Corner Problems and Problems of Corner Singularities
- Mixed finite element approximation of an MHD problem involving conducting and insulating regions: The 3D case
- Stability and Error Analysis for the First-Order Euler Implicit/Explicit Scheme for the 3D MHD Equations
- A fully divergence-free finite element method for magnetohydrodynamic equations
- Finite element approximation for equations of magnetohydrodynamics
- Finite Element Methods for Maxwell's Equations
- Analysis of finite element approximation for time-dependent Maxwell problems
- Mixed Finite Element Methods and Applications
- A Convergent Linearized Lagrange Finite Element Method for the Magneto-hydrodynamic Equations in Two-Dimensional Nonsmooth and Nonconvex Domains
- Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
- The Mathematical Theory of Finite Element Methods
- Finite Difference Approximation for Pricing the American Lookback Option
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