Issue |
ESAIM: M2AN
Volume 47, Number 6, November-December 2013
|
|
---|---|---|
Page(s) | 1713 - 1732 | |
DOI | https://doi.org/10.1051/m2an/2013085 | |
Published online | 07 October 2013 |
Stabilized Galerkin methods for magnetic advection
1 Department of Mathematics, Rutgers
University, Piscataway, NJ
08854,
USA.
Holger.Heumann@unice.fr
2 SAM, ETH Zürich, Rämistrasse
101, CH-8092
Zürich,
Switzerland.
hiptmair@sam.math.ethz.ch
Received:
30
August
2012
Revised:
31
March
2013
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 -conforming finite elements.
Mathematics Subject Classification: 65M60 / 65M12
Key words: Magnetic advection / lie derivative / Friedrichs system / stabilized Galerkin method / upwinding / edge elements
© EDP Sciences, SMAI 2013
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