Geodesic
Stabilized Galerkin methods for magnetic advection
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 47 (2013) no. 6, pp. 1713-1732
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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.

DOI : 10.1051/m2an/2013085
Classification : 65M60, 65M12
Keywords: magnetic advection, lie derivative, Friedrichs system, stabilized Galerkin method, upwinding, edge elements 
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     title = {Stabilized {Galerkin} methods for magnetic advection},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {1713--1732},
     year = {2013},
     publisher = {EDP-Sciences},
     volume = {47},
     number = {6},
     doi = {10.1051/m2an/2013085},
     mrnumber = {3123373},
     zbl = {1293.76088},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2013085/}
}
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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

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