Name
Title | ||
|---|---|---|
Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations |
Abstract | ||
|---|---|---|
We propose a convergent implicit stabilized finite element discretization of the nonstationary incompressible magnetohydrodynamics equations with variable density, viscosity, and electric conductivity. The discretization satisfies a discrete energy law, and a discrete maximum principle for the positive density, and iterates converge to weak solutions of the limiting problem for vanishing discretization parameters. A simple fixed point scheme, together with an appropriate stopping criterion is proposed, which decouples the computation of density, velocity, and magnetic field, and inherits the above properties, provided a mild mesh constraint holds. Computational studies are provided. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1090/S0025-5718-10-02341-0 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
fixed point,finite element,magnetic field,weak solution,magnetohydrodynamics,electric conductivity,satisfiability | Compressibility,Discretization,Mathematical optimization,Maximum principle,Mathematical analysis,Finite element method,Weak solution,Magnetohydrodynamics,Fixed point,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
79 | 272 | 0025-5718 |
Citations | PageRank | References |
6 | 0.84 | 11 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lubomír Bañas | 1 | 13 | 2.52 |
| Andreas Prohl | 2 | 302 | 67.29 |