34 citations · 210 across the 52 of their papers we have counts for
10 papers · 1 filter
Energy stable Galerkin approximation of Hamiltonian and gradient systems
Herbert Egger
A general framework for the numerical approximation of evolution problems is presented that allows to preserve exactly an underlying Hamiltonian- or gradient structure. The approac…
A second order multipoint flux mixed finite element method on hybrid meshes
Herbert Egger, Bogdan Radu
We consider the numerical approximation of single phase flow in porous media by a mixed finite element method with mass lumping. Our work extends previous results of Wheeler and Yo…
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,…
Multistep and Runge-Kutta convolution quadrature methods for coupled dynamical systems
Herbert Egger, Vsevolod Shashkov, Kersten Schmidt
We consider the efficient numerical solution of coupled dynamical systems, consisting of a small nonlinear part and a large linear time invariant part, possibly stemming from spati…
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…
A mass-lumped mixed finite element method for Maxwell's equations
Herbert Egger, Bogdan Radu
A novel mass-lumping strategy for a mixed finite element approximation of Maxwell's equations is proposed. On structured orthogonal grids the resulting method coincides with the sp…