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On the choice of the SUPG parameter at outflow boundary layers

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Abstract

We consider the Streamline upwind/Petrov–Galerkin (SUPG) finite element method for two–dimensional steady scalar convection–diffusion equations and propose a new definition of the SUPG stabilization parameter along outflow Dirichlet boundaries. Numerical results demonstrate a significant improvement of the accuracy and show that, in some cases, even nodally exact solutions are obtained.

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Authors and Affiliations

  1. Faculty of Mathematics and Physics, Department of Numerical Mathematics, Charles University, Sokolovská 83, 186 75, Praha 8, Czech Republic

    Petr Knobloch

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  1. Petr Knobloch
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Correspondence to Petr Knobloch.

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Communicated by Martin Stynes.

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Knobloch, P. On the choice of the SUPG parameter at outflow boundary layers. Adv Comput Math 31, 369 (2009). https://doi.org/10.1007/s10444-008-9075-6

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  • DOI: https://doi.org/10.1007/s10444-008-9075-6

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