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.
Mots clés : magnetic advection, lie derivative, Friedrichs system, stabilized Galerkin method, upwinding, edge elements
@article{M2AN_2013__47_6_1713_0, author = {Heumann, Holger and Hiptmair, Ralf}, title = {Stabilized {Galerkin} methods for magnetic advection}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis }, pages = {1713--1732}, publisher = {EDP-Sciences}, volume = {47}, number = {6}, year = {2013}, doi = {10.1051/m2an/2013085}, mrnumber = {3123373}, zbl = {1293.76088}, language = {en}, url = {http://www.numdam.org/articles/10.1051/m2an/2013085/} }
TY - JOUR AU - Heumann, Holger AU - Hiptmair, Ralf TI - Stabilized Galerkin methods for magnetic advection JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2013 SP - 1713 EP - 1732 VL - 47 IS - 6 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an/2013085/ DO - 10.1051/m2an/2013085 LA - en ID - M2AN_2013__47_6_1713_0 ER -
%0 Journal Article %A Heumann, Holger %A Hiptmair, Ralf %T Stabilized Galerkin methods for magnetic advection %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2013 %P 1713-1732 %V 47 %N 6 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an/2013085/ %R 10.1051/m2an/2013085 %G en %F M2AN_2013__47_6_1713_0
Heumann, Holger; Hiptmair, Ralf. Stabilized Galerkin methods for magnetic advection. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 47 (2013) no. 6, pp. 1713-1732. doi : 10.1051/m2an/2013085. http://www.numdam.org/articles/10.1051/m2an/2013085/
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