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Institut für Wasserbau - IWS

Selected Topics and International Network Lectures

16:00 Uhr
Dr. rer.nat. Bernd Flemisch, M.Sc.
Lehrstuhl für Hydromechanik und Hydrosystemmodellierung, Institut für Wasserbau, Uni Stuttgart

Mimetic finite difference methods

Mimetic finite difference methods constitute an alternative framework for the discretization of partial differential equations. The key idea is to discretize the basic operators gradient, curl, and divergence in such a way that the fundamental mathematical relations of vector calculus can be exactly reproduced in the discrete setting. In physical terms, this corresponds to the most wanted discrete conservation of mass, energy, etc. In addition, mimetic methods appear most promising for managing strong heterogeneities, distorted elements, or hanging nodes. This talk provides an introduction to the methodology, interpretes the resulting numerical model within the frameworks of mixed finite elements and finite volumes, and illustrates the robustness by means of simple numerical examples.