Stabilized Galerkin methods for magnetic advection

Holger Heumann; Ralf Hiptmair

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2013)

  • Volume: 47, Issue: 6, page 1713-1732
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Heumann, Holger, and Hiptmair, Ralf. "Stabilized Galerkin methods for magnetic advection." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 47.6 (2013): 1713-1732. <http://eudml.org/doc/273309>.

@article{Heumann2013,
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.},
author = {Heumann, Holger, Hiptmair, Ralf},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {magnetic advection; lie derivative; Friedrichs system; stabilized Galerkin method; upwinding; edge elements; Lie derivative; edge element; optimal convergence rate},
language = {eng},
number = {6},
pages = {1713-1732},
publisher = {EDP-Sciences},
title = {Stabilized Galerkin methods for magnetic advection},
url = {http://eudml.org/doc/273309},
volume = {47},
year = {2013},
}

TY - JOUR
AU - Heumann, Holger
AU - Hiptmair, Ralf
TI - Stabilized Galerkin methods for magnetic advection
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2013
PB - EDP-Sciences
VL - 47
IS - 6
SP - 1713
EP - 1732
AB - 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.
LA - eng
KW - magnetic advection; lie derivative; Friedrichs system; stabilized Galerkin method; upwinding; edge elements; Lie derivative; edge element; optimal convergence rate
UR - http://eudml.org/doc/273309
ER -

References

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