Stabilized Galerkin methods for magnetic advection

Holger Heumann (1, 2) , Ralf Hiptmair (3)

1 LJAD - Laboratoire Jean Alexandre Dieudonné
2 CASTOR - Control, Analysis and Simulations for TOkamak Research
3 Seminar of Applied Mathematics

Taking the cue from stabilized Galerkin methods for scalar advection problems, we adapt the technique to boundary value problems modeling the advection of magnetic fields. We provide rigorous a priori error estimates for both fully discontinuous piecewise polynomial trial functions and H (curl, Ω)-conforming finite elements.

Domaines: Mathématiques [math]

Holger Heumann, Ralf Hiptmair. Stabilized Galerkin methods for magnetic advection. ESAIM: Mathematical Modelling and Numerical Analysis, 2013, 47 (6), pp.1713-1732. ⟨10.1051/m2an/2013085⟩. ⟨hal-01108272⟩