Optimal error estimates of a Crank–Nicolson finite element projection method for magnetohydrodynamic equations

A Convergent Linearized Lagrange Finite Element Method for the Magneto-hydrodynamic Equations in Two-Dimensional Nonsmooth and Nonconvex Domains

(2020) Buyang Li et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A priori estimates and optimal finite element approximation of the MHD flow in smooth domains

(2018) Yinnian He et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

On an efficient second order backward difference Newton scheme for MHD system

(2018) Jinjin Yang et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A fully divergence-free finite element method for magnetohydrodynamic equations

(2018) Ralf Hiptmair et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

A semi-implicit energy conserving finite element method for the dynamical incompressible magnetohydrodynamics equations

(2018) Huadong Gao et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

An $H^2$ convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn–Hilliard equation

(2016) Jing Guo et al.   Communications in Mathematical Sciences

A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids

(2016) Jia Zhao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Second-Order, Weakly Energy-Stable Pseudo-spectral Scheme for the Cahn–Hilliard Equation and Its Solution by the Homogeneous Linear Iteration Method

(2016) Kelong Cheng et al.   JOURNAL OF SCIENTIFIC COMPUTING

Decoupled, Unconditionally Stable, Higher Order Discretizations for MHD Flow Simulation

(2016) Timo Heister et al.   JOURNAL OF SCIENTIFIC COMPUTING

Convergence of a Finite Difference Scheme for Two-Dimensional Incompressible Magnetohydrodynamics

(2016) Johanna Ridder   SIAM JOURNAL ON NUMERICAL ANALYSIS

Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation

(2015) Amanda E. Diegel et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Global small solutions of 2-D incompressible MHD system

(2015) Fanghua Lin et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Global Small Solutions to an MHD-Type System: The Three-Dimensional Case

(2014) Fanghua Lin et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations

(2014) Y. He   IMA JOURNAL OF NUMERICAL ANALYSIS

Decoupled Energy Stable Schemes for a Phase-Field Model of Two-Phase Incompressible Flows with Variable Density

(2014) Chun Liu et al.   JOURNAL OF SCIENTIFIC COMPUTING

Numerical analysis of two partitioned methods for uncoupling evolutionary MHD flows

(2014) W. Layton et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

A Linear Iteration Algorithm for a Second-Order Energy Stable Scheme for a Thin Film Model Without Slope Selection

(2013) Wenbin Chen et al.   JOURNAL OF SCIENTIFIC COMPUTING

Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system

(2008) Andreas Prohl   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE