C04
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- First-Discretize-Then-Optimize (1)
- Galerkin projection (1)
- Mixed-Integer Nonlinear Programming (1)
- Power-to-Gas (1)
- Storage Capacity Maximization (1)
- Transient Gas Transport Optimization (1)
- asymptotic limits (1)
- gas transport on networks (1)
- hyperbolic balance laws (1)
- partial differential-algebraic equations (1)
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.