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Stabilized Galerkin methods for magnetic advection

Published online by Cambridge University Press:  07 October 2013

Holger Heumann  and
Ralf Hiptmair
Holger Heumann
Affiliation:
Department of Mathematics, Rutgers University, Piscataway, NJ 08854, USA.. Holger.Heumann@unice.fr
Ralf Hiptmair
Affiliation:
SAM, ETH Zürich, Rämistrasse 101, CH-8092 Zürich, Switzerland.; hiptmair@sam.math.ethz.ch
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Abstract

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.

Keywords

Magnetic advectionlie derivativeFriedrichs systemstabilized Galerkin methodupwindingedge elements
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 47 , Issue 6 , November 2013 , pp. 1713 - 1732
Copyright
© EDP Sciences, SMAI 2013

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