Abstract
We study the performance properties of a class of stabilized higher-order finite element approximations of convection-diffusion-reaction models with nonlinear reaction mechanisms. Streamline upwind Petrov-Galerkin (SUPG) stabilization together with anisotropic shock-capturing as an additional stabilization in crosswind-direction is used. We show that these techniques reduce spurious oscillations in crosswind-direction and increase the accuracy of simulations.
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Keywords
- Element Approximation
- Spurious Oscillation
- Interior Layer
- Nonstationary Equation
- Uniform Convergence Rate
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© 2011 Springer-Verlag Berlin Heidelberg
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Bause, M. (2011). Performance of Stabilized Higher-Order Methods for Nonstationary Convection-Diffusion-Reaction Equations. In: Clavero, C., Gracia, J., Lisbona, F. (eds) BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods. Lecture Notes in Computational Science and Engineering, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19665-2_2
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DOI: https://doi.org/10.1007/978-3-642-19665-2_2
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Online ISBN: 978-3-642-19665-2
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