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Analysis and Numerical Approximation of Transport Equations on Networks

  • This work deals with the analysis and numerical approximation of transport problems on networks. Appropriate coupling conditions are proposed that allow to establish well-posedness of the continuous problem by semigroup theory. A discontinuous Galerkin method is proposed for the space discretization and its well-posedness and order optimal convergence rates are proven. In addition, the time discretization by the implicit Euler method is investigated.

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Author:Nora Philippi
Document Type:Master's Thesis
Language:English
Date of Publication (online):2020/01/28
Date of first Publication:2020/01/28
Granting Institution:Technische Universität Darmstadt
Date of final exam:2019/06/03
Release Date:2020/01/28
Subprojects:C04
Licence (German):License LogoCreative Commons - CC0 1.0 - Universell - Public Domain Dedication