7 citations · 14 across the 5 of their papers we have counts for
7 papers
Stability preserving approximations of a semilinear hyperbolic gas transport model
Herbert Egger, Thomas Kugler, Björn Liljegren-Sailer
We consider the discretization of a semilinear damped wave equation arising, for instance, in the modeling of gas transport in pipeline networks. For time invariant boundary data,…
An inexact Petrov-Galerkin approximation for gas transport in pipeline networks
Herbert Egger, Thomas Kugler, Vsevolod Shashkov
This paper studies the discretization of gas transport in pipeline networks by an inexact Petrov-Galerkin method. A full convergence analysis is presented for single pipes under th…
On structure-preserving model reduction for damped wave propagation in transport networks
Herbert Egger, Thomas Kugler, Björn Liljegren-Sailer +2
We consider the discretization and subsequent model reduction of a system of partial differential-algebraic equations describing the propagation of pressure waves in a pipeline net…
An asymptotic preserving mixed finite element method for wave propagation in pipelines
Herbert Egger, Thomas Kugler
We consider a parameter dependent family of damped hyperbolic equations with interesting limit behavior: the system approaches steady states exponentially fast and for parameter to…
Parameter identification in a semilinear hyperbolic system
Herbert Egger, Thomas Kugler, Nikolai Strogies
We consider the identification of a nonlinear friction law in a one-dimensional damped wave equation from additional boundary measurements. Well-posedness of the governing semiline…
Damped wave systems on networks: Exponential stability and uniform approximations
Herbert Egger, Thomas Kugler
We consider a damped linear hyperbolic system modelling the propagation of pressure waves in a network of pipes. Well-posedness is established via semi-group theory and the existen…