Error analysis of a fully discrete projection method for Cahn-Hilliard inductionless MHD problems
From MaRDI portal
Publication:6590943
DOI10.1016/j.cnsns.2024.108195MaRDI QIDQ6590943
Qianqian Ding, Shipeng Mao, Xiao-Rong Wang
Publication date: 21 August 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
mass conservationfinite element projection methoderror estimatecharge conservationCahn-Hilliard equationsinductionless MHD equations
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Magnetohydrodynamics and electrohydrodynamics (76Wxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Error analysis of first-order projection method for time-dependent magnetohydrodynamics equations
- A mixed discontinuous Galerkin, convex splitting scheme for a modified Cahn-Hilliard equation and an efficient nonlinear multigrid solver
- A consistent and conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. III: On a staggered mesh
- Stable finite element methods preserving \(\nabla \cdot \boldsymbol{B}=0\) exactly for MHD models
- Energy law preserving \(C^0\) finite element schemes for phase field models in two-phase flow computations
- Block recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problem
- Three-dimensional, fully adaptive simulations of phase-field fluid models
- Compact sets in the space \(L^ p(0,T;B)\)
- 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
- Two-dimensional Kelvin-Helmholtz instabilities of multi-component fluids
- Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system
- A second-order projection method for the incompressible Navier-Stokes equations
- A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
- Second-order energy stable schemes for the new model of the Cahn-Hilliard-MHD equations
- Highly efficient and energy stable schemes for the 2D/3D diffuse interface model of two-phase magnetohydrodynamics
- A positivity preserving, energy stable finite difference scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system
- A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows
- Fully discrete approximations to the time-dependent Navier-Stokes equations with a projection method in time and grad-div stabilization
- A current density conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. I: On a rectangular collocated grid system
- A current density conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. II: On an arbitrary collocated mesh
- Error estimates for finite element approximations of consistent splitting schemes for incompressible flows
- A level set approach to simulate magnetohydrodynamic instabilities in aluminum reduction cells
- Energy stable schemes with second order temporal accuracy and decoupled structure for diffuse interface model of two-phase magnetohydrodynamics
- Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media
- Some mathematical questions related to the mhd equations
- 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
- 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
- A fully divergence-free finite element method for magnetohydrodynamic equations
- Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows
- Hydrodynamic Stability
- Analysis of finite element approximation for time-dependent Maxwell problems
- On the error estimates for the rotational pressure-correction projection methods
- On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
- Some implementations of projection methods for Navier-Stokes equations
- Convergence Analysis of a Finite Element Projection/Lagrange--Galerkin Method for the Incompressible Navier--Stokes Equations
- Optimal error estimates of a Crank–Nicolson finite element projection method for magnetohydrodynamic equations
- An Energy-Stable Finite Element Method for Incompressible Magnetohydrodynamic-Cahn-Hilliard Coupled Model
- A Charge-Conservative Finite Element Method for Inductionless MHD Equations. Part I: Convergence
- Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
- On the Convergence of Discrete Approximations to the Navier-Stokes Equations
- Numerical Solution of the Navier-Stokes Equations
- Finite Difference Approximation for Pricing the American Lookback Option
- Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn-Hilliard-magnetohydrodynamics system of equations
- Error analysis of a fully discrete projection method for magnetohydrodynamic system
- Decoupled, linear, unconditionally energy stable and charge-conservative finite element method for an inductionless magnetohydrodynamic phase-field model
- An energy stable finite difference scheme for the Ericksen-Leslie system with penalty function and its optimal rate convergence analysis
- Convergence analysis of the fully discrete projection method for inductionless magnetohydrodynamics system based on charge conservation
- Error analysis of fully discrete scheme for the Cahn-Hilliard-magneto-hydrodynamics problem
This page was built for publication: Error analysis of a fully discrete projection method for Cahn-Hilliard inductionless MHD problems