A rotational pressure-correction projection methods for unsteady incompressible magnetohydrodynamics equations
DOI10.1016/j.amc.2019.06.002zbMath1465.76057OpenAlexW2951029019MaRDI QIDQ2660070
Xiaojuan Shen, Zhiyong Si, Yunxia Wang
Publication date: 29 March 2021
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2019.06.002
convergence analysisstability analysisfinite element methodoptimal error estimatepressure-correction projection scheme
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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- A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
- Gauge-Uzawa methods for incompressible flows with variable density
- Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe
- Remarks on the pressure error estimates for the projection methods
- Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics
- Defect correction finite element method for the stationary incompressible magnetohydrodynamics equation
- Mixed finite element approximation of incompressible MHD problems based on weighted regularization
- Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent incompressible MHD equations
- An overview of projection methods for incompressible flows
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
- Unconditional convergence of the Euler semi-implicit scheme for the 3D incompressible MHD equations
- On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics
- Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system
- On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
- Velocity-Correction Projection Methods for Incompressible Flows
- 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
- New development in freefem++
- Streamline diffusion finite element method for stationary incompressible magnetohydrodynamics
- OPTIMAL ERROR ESTIMATE FOR SEMI-DISCRETE GAUGE-UZAWA METHOD FOR THE NAVIER-STOKES EQUATIONS
- A semi‐discrete defect correction finite element method for unsteady incompressible magnetohydrodynamics equations
- On the Convergence of Discrete Approximations to the Navier-Stokes Equations
- Numerical Solution of the Navier-Stokes Equations
- AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS
- The Gauge--Uzawa Finite Element Method. Part I: The Navier--Stokes Equations
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