7 papers
On the transport limit of singularly perturbed convection-diffusion problems on networks
Herbert Egger, Nora Philippi
We consider singularly perturbed convection-diffusion equations on one-dimensional networks (metric graphs) as well as the transport problems arising in the vanishing diffusion lim…
A convolution quadrature method for Maxwell's equations in dispersive media
Jürgen Dölz, Herbert Egger, Vsevolod Shashkov
We study the systematic numerical approximation of Maxwell's equations in dispersive media. Two discretization strategies are considered, one based on a traditional leapfrog time i…
A second order finite element method with mass lumping for Maxwell's equations on tetrahedra
Herbert Egger, Bogdan Radu
We consider the numerical approximation of Maxwell's equations in time domain by a second order conforming finite element approximation. In order to enable the efficient…
A hybrid discontinuous Galerkin method for transport equations on networks
Herbert Egger, Nora Philippi
We discuss the mathematical modeling and numerical discretization of transport problems on one-dimensional networks. Suitable coupling conditions are derived that guarantee conserv…
On the structure preserving high-order approximation of quasistatic poroelasticity
Herbert Egger, Mania Sabouri
We consider the systematic numerical approximation of Biot's quasistatic model for the consolidation of a poroelastic medium. Various discretization schemes have been analysed for…
A second order finite element method with mass lumping for wave equations in
Herbert Egger, Bogdan Radu
We consider the efficient numerical approximation of acoustic wave propagation in time domain by a finite element method with mass lumping. In the presence of internal damping, the…