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Convergence rates of numerical methods for conservation laws with discontinuous flux

Dr. Adrian M. Ruf, ETH, Zurich
Speaker
Dr. Adrian M. Ruf, ETH, Zurich
When Feb 02, 2021
from 04:00 PM to 05:00 PM
Where zoom meet
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Abstract: The subject of conservation laws with discontinuous flux has been an active re-search area during the last several decades. Many different selection criteria to single out a unique weak solution have been proposed and several numerical schemes have been designed and analyzed in the literature. Surprisingly, the preexisting literature on convergence rates for such schemes is practically nonexistent. In this talk, focusing on so-called adapted entropy solutions, I will present recent developments in this direction and prove convergence rates for finite volume and front tracking methods. As an application, I will brie y describe how these results can be used for uncertainty quantification in two-phase reservoir simulations for reservoirs with varying geological properties.

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