34 citations · 210 across the 52 of their papers we have counts for
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A mixed variational discretization for non-isothermal compressible flow in pipelines
Herbert Egger
We consider the non-isothermal flow of a compressible fluid through pipes. Starting from the full set of Euler equations, we propose a variational characterization of solutions tha…
A robust conservative mixed finite element method for compressible flow on pipe networks
Herbert Egger
We consider the numerical approximation of compressible flow in a pipe network. Appropriate coupling conditions are formulated that allow us to derive a variational characterizatio…
Super-convergence and post-processing for mixed finite element approximations of the wave equation
Herbert Egger, Bogdan Radu
We consider the numerical approximation of acoustic wave propagation problems by mixed BDM(k+1)-P(k) finite elements on unstructured meshes. Optimal convergence of the discrete vel…
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…