Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations
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Publication:1633329
DOI10.1016/j.apnum.2018.10.013zbMath1405.76026OpenAlexW2900335650WikidataQ128971961 ScholiaQ128971961MaRDI QIDQ1633329
Xiaoming He, Guo-Dong Zhang, Xiao-Feng Yang
Publication date: 19 December 2018
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2018.10.013
PDEs in connection with fluid mechanics (35Q35) 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)
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Cites Work
- Efficient splitting schemes for magneto-hydrodynamic equations
- Global existence and decay of smooth solutions for the 3-D MHD-type equations without magnetic diffusion
- Error analysis of first-order projection method for time-dependent magnetohydrodynamics equations
- Block triangular preconditioner for static Maxwell equations
- Comparison of algebraic multigrid preconditioners for solving Helmholtz equations
- Global small solutions of 2-D incompressible MHD system
- A hybrid-mesh hybridizable discontinuous Galerkin method for solving the time-harmonic Maxwell's equations
- Block triangular preconditioners for the discretized time-harmonic Maxwell equations in mixed form
- Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows
- An initial-boundary value problem for the Maxwell equations
- Efficient energy stable numerical schemes for a phase field moving contact line model
- Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method
- Incompressible limit of full compressible magnetohydrodynamic equations with well-prepared data in 3-D bounded domains
- Stable discretization of magnetohydrodynamics in bounded domains
- Numerical approximations for a phase-field moving contact line model with variable densities and viscosities
- Efficient and accurate numerical schemes for a hydro-dynamically coupled phase field diblock copolymer model
- Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model
- Decoupled schemes for unsteady MHD equations. II: Finite element spatial discretization and numerical implementation
- Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion
- Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model
- A novel linear second order unconditionally energy stable scheme for a hydrodynamic \(\mathbf{Q} \)-tensor model of liquid crystals
- Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model
- Numerical analysis of second order, fully discrete energy stable schemes for phase field models of two-phase incompressible flows
- Decoupled energy stable schemes for a phase field model of three-phase incompressible viscous fluid flow
- Robust preconditioners for incompressible MHD models
- On the Cauchy problem for the compressible Hall-magneto-hydrodynamics equations
- Shear cell rupture of nematic liquid crystal droplets in viscous fluids
- Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids
- Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
- Global well-posedness for the 2D MHD equations without magnetic diffusion in a strip domain
- Energy Stable Numerical Schemes for a Hydrodynamic Model of Nematic Liquid Crystals
- Block Preconditioners for Stable Mixed Nodal and Edge finite element Representations of Incompressible Resistive MHD
- Numerical analysis of two partitioned methods for uncoupling evolutionary MHD flows
- Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
- Unconditionally stable operator splitting algorithms for the incompressible magnetohydrodynamics system discretized by a stabilized finite element formulation based on projections
- A PRECONDITIONED METHOD FOR THE SOLUTION OF THE ROBBINS PROBLEM FOR THE HELMHOLTZ EQUATION
- Some mathematical questions related to the mhd equations
- A CONSTRAINT PRECONDITIONER FOR SOLVING SYMMETRIC POSITIVE DEFINITE SYSTEMS AND APPLICATION TO THE HELMHOLTZ EQUATIONS AND POISSON EQUATIONS
- A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
- 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
- Monolithic Multigrid Methods for Two-Dimensional Resistive Magnetohydrodynamics
- Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system
- Two-level finite element method with a stabilizing subgrid for the incompressible MHD equations
- Efficient Second Order Unconditionally Stable Schemes for a Phase Field Moving Contact Line Model Using an Invariant Energy Quadratization Approach
- Mass and Volume Conservation in Phase Field Models for Binary Fluids
- Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn--Hilliard--Navier--Stokes--Darcy Phase Field Model
- Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
- Decoupled schemes for unsteady MHD equations. I. time discretization
- Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
- Global Small Solutions to an MHD‐Type System: The Three‐Dimensional Case
- Decoupled Energy Stable Schemes for Phase-Field Models of Two-Phase Complex Fluids
- A finite element method for magnetohydrodynamics
