New structure-preserving mixed finite element method for the stationary MHD equations with magnetic-current formulation

An Augmented Lagrangian Preconditioner for the Magnetohydrodynamics Equations at High Reynolds and Coupling Numbers

(2022) Fabian Laakmann et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Monolithic Multigrid Methods for Magnetohydrodynamics

(2021) James H. Adler et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Coupled Iterative Analysis for Stationary Inductionless Magnetohydrodynamic System Based on Charge-Conservative Finite Element Method

(2021) Xiaodi Zhang et al.   JOURNAL OF SCIENTIFIC COMPUTING

A face‐based monolithic approach for the incompressible magnetohydrodynamics equations

(2019) Kayhan Ata et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

A fully divergence-free finite element method for magnetohydrodynamic equations

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

Structure-preserving finite element methods for stationary MHD models

(2018) Kaibo Hu et al.   MATHEMATICS OF COMPUTATION

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

Iterative methods in penalty finite element discretization for the steady MHD equations

(2016) Haiyan Su et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Stable finite element methods preserving $$\nabla \cdot \varvec{B}=0$$ ∇ · B = 0 exactly for MHD models

(2016) Kaibo Hu et al.   NUMERISCHE MATHEMATIK

Numerical stability analysis and flow simulation of lid-driven cavity subjected to high magnetic field

(2016) L. Marioni et al.   PHYSICS OF FLUIDS

Analysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domain

(2014) Guo-Dong Zhang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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

(2014) Y. He   IMA JOURNAL OF NUMERICAL ANALYSIS

A Block Preconditioner for an Exact Penalty Formulation for Stationary MHD

(2014) Edward G. Phillips et al.   SIAM JOURNAL ON 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