2018/10/25 17:00-18:30

CE-Seminar: On the role of entropy in mathematical modeling, computation and uncertainty quantification

Prof. Dr. Martin Frank, K.I.T. Karlsruhe

25.10.2018, 17:00 Uhr – 18:30 Uhr | TU Darmstadt, Gebäude S4|10, Raum 314, Dolivostraße 15

Veranstalter: Graduate School of Excellence Computational Engineering (CE)


This talk discusses entropy structures for partial differential equations, and how they can be used for efficient HPC computations, and uncertainty quantification. Especially, we recall the entropy-entropy flux structure of hyperbolic conservation laws describing macroscopic flows, and how this structure is inherited from underlying mesoscopic models for particle transport. We investigate the numerical solution of generalized entropy closures, and discuss their suitability for modern computer architectures. Lastly, we show that entropy-based methods are suitable for uncertainty quantification, as they overcome the loss of hyperbolicity in standard generalized polynomial chaos stochastic Galerkin methods.

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