Abstract
This paper is devoted to the numerical solution of the scalar convection–diffusion–reaction equation. We present new results of the adaptive technique for computing the stabilization parameter τ in the streamline upwind/Petrov–Galerkin (SUPG) method based on minimizing the value of a functional called error indicator. Particularly, we present results for conforming finite element spaces up to the order 5 with the parameter τ from the piecewise discontinuous finite element spaces, also up to the order 5.
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References
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Acknowledgements
The research is supported by the Grant Agency of the Charles University (GAUK 1006613).
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Lukáš, P. (2015). A Posteriori Optimization of Parameters in the SUPG Method for Higher Degree FE Spaces. In: Knobloch, P. (eds) Boundary and Interior Layers, Computational and Asymptotic Methods - BAIL 2014. Lecture Notes in Computational Science and Engineering, vol 108. Springer, Cham. https://doi.org/10.1007/978-3-319-25727-3_13
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DOI: https://doi.org/10.1007/978-3-319-25727-3_13
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