This work presents a finite element solution of the 3D magneto-hydrodynamics equations. The formulation takes explicitly into account the local conservation of the magnetic field, giving rise to a conservative formulation and introducing a new scalar variable. A stabilization technique is used in or
Stabilized Finite Element Approximation of the Stationary Magneto-Hydrodynamics Equations
✍ Scribed by Ramon Codina; Noel Hernández - Silva
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 381 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0178-7675
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📜 SIMILAR VOLUMES
We obtain weak solutions for the equations of magneto-hydrodynamics which are regular for almost all times. If these solutions are small in a suitable sense they are strong for all times. The conductivity, and to a lesser extent the magnetic permeability, are allowed to vary discontinuously.
This paper proposes and analyzes a multi-level stabilized finite element method for the two-dimensional stationary Navier-Stokes equations approximated by the lowest equal-order finite element pairs. The method combines the new stabilized finite element method with the multi-level discretization und