A fully discrete finite element method for a constrained transport model of the incompressible MHD equations
DOI10.1051/m2an/2023061zbMath1530.65126MaRDI QIDQ6189272
No author found.
Publication date: 12 January 2024
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) 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) 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) 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) Maxwell equations (35Q61)
Cites Work
- Unnamed Item
- 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
- A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
- Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection
- 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
- Fortin operator and discrete compactness for edge elements
- Second order unconditionally convergent and energy stable linearized scheme for MHD equations
- Singularities of electromagnetic fields in polyhedral domains
- A semi-implicit energy conserving finite element method for the dynamical incompressible magnetohydrodynamics equations
- Rank-adaptive tensor methods for high-dimensional nonlinear PDEs
- A fully divergence-free finite element scheme for stationary inductionless magnetohydrodynamic equations
- A decoupled, unconditionally energy stable and charge-conservative finite element method for inductionless magnetohydrodynamic equations
- A constrained transport divergence-free finite element method for incompressible MHD equations
- Convergence analysis of Crank-Nicolson extrapolated fully discrete scheme for thermally coupled incompressible magnetohydrodynamic system
- Analysis of a semi-implicit structure-preserving finite element method for the nonstationary incompressible magnetohydrodynamics equations
- Generalized Gaffney inequality and discrete compactness for discrete differential forms
- Analysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domain
- 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
- A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
- An Introduction to Magnetohydrodynamics
- Finite Element Methods for Incompressible Flow Problems
- 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
- Finite elements in computational electromagnetism
- Finite element exterior calculus, homological techniques, and applications
- Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system
- Finite Element Methods for Navier-Stokes Equations
- A fully divergence-free finite element method for magnetohydrodynamic equations
- Finite Element Methods for Maxwell's Equations
- Analysis of finite element approximation for time-dependent Maxwell problems
- A Delta-Regularization Finite Element Method for a Double Curl Problem with Divergence-Free Constraint
- Mixed Finite Element Methods and Applications
- New development in freefem++
- A Charge-Conservative Finite Element Method for Inductionless MHD Equations. Part I: Convergence
- A Charge-Conservative Finite Element Method for Inductionless MHD Equations. Part II: A Robust Solver
- Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
This page was built for publication: A fully discrete finite element method for a constrained transport model of the incompressible MHD equations
