Analysis of a semi-implicit structure-preserving finite element method for the nonstationary incompressible magnetohydrodynamics equations
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Publication:2212327
DOI10.1016/j.camwa.2020.09.003zbMath1452.76100arXiv2003.10298OpenAlexW3087831223MaRDI QIDQ2212327
Publication date: 20 November 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.10298
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Cites Work
- Unnamed Item
- A consistent and conservative scheme for MHD flows with complex boundaries on an unstructured Cartesian adaptive system
- Stable finite element methods preserving \(\nabla \cdot \boldsymbol{B}=0\) exactly for MHD models
- Approximation of the thermally coupled MHD problem using a stabilized finite element method
- Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe
- A semi-implicit energy conserving finite element method for the dynamical incompressible magnetohydrodynamics equations
- On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics
- 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
- Some mathematical questions related to the mhd equations
- Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations
- Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
- Finite elements in computational electromagnetism
- Finite element exterior calculus, homological techniques, and applications
- 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
- Finite element exterior calculus: from Hodge theory to numerical stability
- The Stability in L p and W p 1 of the L 2 -Projection onto Finite Element Function Spaces
- Structure-preserving finite element methods for stationary MHD models
- A fully divergence-free finite element method for magnetohydrodynamic equations
- Finite Element Methods for Maxwell's Equations
- Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations