Stabilized Galerkin for Linear Advection of Vector Fields

  • Holger HeumannEmail author
  • Ralf Hiptmair
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 103)


We present a stabilized Galerkin method for linear advection of vector fields and prove, for sufficiently smooth solutions, optimal a priori error estimates for \(\boldsymbol{H}\left (\mathop{\mathbf{curl}}\nolimits,\varOmega \right )\) and \(\boldsymbol{H}(\mathop{Div}\nolimits,\varOmega )\)-conforming approximation spaces.


Galerkin Method Element Space Element Interface Discontinuous Galerkin Method Shape Regularity 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Zentrum Mathematik – M16Technische Universität MünchenGarchingGermany
  2. 2.Seminar for Applied MathematicsETH ZürichZürichSwitzerland

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