54 citations · 299 across the 38 of their papers we have counts for
4 papers · 2 filters
Theory of shifts, shocks, and the intimate connections to -type a posteriori error analysis of numerical schemes for hyperbolic problems
Jan Giesselmann, Sam G. Krupa
In this paper, we develop reliable a posteriori error estimates for numerical approximations of scalar hyperbolic conservation laws in one space dimension. Our methods have no inhe…
Regularity and long time behavior of a doubly nonlinear parabolic problem and its discretization
Herbert Egger, Jan Giesselmann
We study a doubly nonlinear parabolic problem arising in the modeling of gas transport in pipelines. Using convexity arguments and relative entropy estimates we show uniform bounds…
An Observer for pipeline flow with hydrogen blending in gas networks: exponential synchronization
Martin Gugat, Jan Giesselmann
We consider a state estimation problem for gas flows in pipeline networks where hydrogen is blended into the natural gas. The flow is modeled by the quasi-linear isothermal Euler e…
Observer-based data assimilation for barotropic gas transport using distributed measurements
Jan Giesselmann, Martin Gugat, Teresa Kunkel
We consider a state estimation problem for gas pipeline flow modeled by the one-dimensional barotropic Euler equations. In order to reconstruct the system state, we construct an ob…