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.
Author: | Nora Philippi |
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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): | Creative Commons - CC0 1.0 - Universell - Public Domain Dedication |