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Geometry–aware finite element framework for multi–physics simulations : an algorithmic and software-centric perspective

Zulian, Patrick ; Krause, Rolf (Dir.)

Thèse de doctorat : Università della Svizzera italiana, 2017 ; 2017INFO006.

In finite element simulations, the handling of geometrical objects and their discrete representation is a critical aspect in both serial and parallel scientific software environments. The development of codes targeting such envinronments is subject to great development effort and man-hours invested. In this thesis we approach these issues from three fronts. First, stable and efficient ...

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Scalable space-time adaptive simulation tools for computational electrocardiology

Krause, Dorian ; Krause, Rolf (Dir.)

Thèse de doctorat : Università della Svizzera italiana, 2013 ; 2013INFO004.

This work is concerned with the development of computational tools for the solution of reaction-diffusion equations from the field of computational electrocardiology. We designed lightweight spatially and space-time adaptive schemes for large-scale parallel simulations. We propose two different adaptive schemes based on locally structured meshes, managed either via a conforming coarse...

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