Analysis of a semi-implicit and structure-preserving finite element method for the incompressible MHD equations with magnetic-current formulation
DOI10.1016/j.cnsns.2023.107677OpenAlexW4388572440MaRDI QIDQ6144165
No author found.
Publication date: 5 January 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2023.107677
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Cites Work
- Unnamed Item
- Stable finite element methods preserving \(\nabla \cdot \boldsymbol{B}=0\) exactly for MHD models
- The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
- Mixed finite element methods for stationary incompressible magneto-hydrodynamics
- The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
- Second order unconditionally convergent and energy stable linearized scheme for MHD equations
- Nodal finite element de Rham complexes
- Singularities of electromagnetic fields in polyhedral domains
- A semi-implicit energy conserving finite element method for the dynamical incompressible magnetohydrodynamics equations
- A constrained transport divergence-free finite element method for incompressible MHD equations
- A conservative finite element solver for the induction equation of resistive MHD: vector potential method and constraint preconditioning
- Analysis of a semi-implicit structure-preserving finite element method for the nonstationary incompressible magnetohydrodynamics equations
- Second order fully decoupled and unconditionally energy-stable finite element algorithm for the incompressible MHD equations
- Robust preconditioners for incompressible MHD models
- Analysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domain
- Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media
- On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system
- Structure-preserving finite element methods for stationary MHD models
- A fully divergence-free finite element method for magnetohydrodynamic equations
- New development in freefem++
- Stable magnetic field-current finite element formulation for\\ magnetohydrodynamics system
- An Augmented Lagrangian Preconditioner for the Magnetohydrodynamics Equations at High Reynolds and Coupling Numbers
- Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
This page was built for publication: Analysis of a semi-implicit and structure-preserving finite element method for the incompressible MHD equations with magnetic-current formulation