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Stabilized Galerkin for Linear Advection of Vector Fields

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

Abstract

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.

Keywords

Galerkin Method Element Space Element Interface Discontinuous Galerkin Method Shape Regularity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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