Abstract
We investigate the convergence rates of numerical schemes for degenerate convection diffusion equations. Recent results bound these rates as 1∕3 in one space dimension and 2∕(19 + d) in several space dimension. In our numerical experiments, we obtain much better rates, indicating that the theoretical bounds are not optimal.
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Acknowledgements
This work was supported by the Research Council of Norway via grants no. 250674/F20 and 214495.
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Karlsen, K.H., Risebro, N.H., Storrøsten, E.B. (2017). Practical Convergence Rates for Degenerate Parabolic Equations. In: Gosse, L., Natalini, R. (eds) Innovative Algorithms and Analysis. Springer INdAM Series, vol 16. Springer, Cham. https://doi.org/10.1007/978-3-319-49262-9_9
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DOI: https://doi.org/10.1007/978-3-319-49262-9_9
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