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Stabilized Galerkin methods for magnetic advection

by H. Heumann and R. Hiptmair

(Report number 2012-26)

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 H(curl)-conforming finite elements.

Keywords: Magnetic advection, discontinuous Galerkin, stabilized Galerkin

@Techreport{HH12_469,
  author = {H. Heumann and R. Hiptmair},
  title = {Stabilized Galerkin methods for magnetic advection},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2012-26},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2012/2012-26.pdf },
  year = {2012}
}

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