34 citations · 210 across the 52 of their papers we have counts for
46 papers · 1 filter
A second-order structure-preserving discretization for the Cahn-Hilliard/Allen-Cahn system with cross-kinetic coupling
Aaron Brunk, Herbert Egger, Oliver Habrich
We study the numerical solution of a Cahn-Hilliard/Allen-Cahn system with strong coupling through state and gradient dependent non-diagonal mobility matrices. A fully discrete appr…
A Yee-like finite-element scheme for Maxwell's equations on unstructured grids
Herbert Egger, Bogdan Radu
A novel finite element scheme is studied for solving the time-dependent Maxwell's equations on unstructured grids efficiently. Similar to the traditional Yee scheme, the method has…
Analysis and systematic discretization of a Fokker-Planck equation with Lorentz force
Vincent Bosboom, Herbert Egger, Matthias Schlottbom
The propagation of charged particles through a scattering medium in the presence of a magnetic field can be described by a Fokker-Planck equation with Lorentz force. This model is…
A Yee-like finite element scheme for Maxwell's equations on hybrid grids
Herbert Egger, Bogdan Radu
A novel finite element method for the approximation of Maxwell's equations over hybrid two-dimensional grids is studied. The choice of appropriate basis functions and numerical qua…
An asymptotic preserving hybrid-dG method for convection-diffusion equations on pipe networks
Herbert Egger, Nora Philippi
We study the numerical approximation of singularly perturbed convection-diffusion problems on one-dimensional pipe networks. In the vanishing diffusion limit, the number and type o…
A second-order fully-balanced structure-preserving variational discretization scheme for the Cahn-Hilliard Navier-Stokes system
Aaron Brunk, Herbert Egger, Oliver Habrich +1
We propose and analyze a structure-preserving space-time variational discretization method for the Cahn-Hilliard-Navier-Stokes system. Uniqueness and stability for the discrete pro…
On uniqueness and stable estimation of multiple parameters in the Cahn-Hilliard equation
Aaron Brunk, Herbert Egger, Oliver Habrich
We consider the identifiability and stable numerical estimation of multiple parameters in a Cahn-Hilliard model for phase separation. Spatially resolved measurements of the phase f…
On higher order passivity preserving schemes for nonlinear Maxwell's equations
Herbert Egger, Vsevolod Shashkov
We present two strategies for designing passivity preserving higher order discretization methods for Maxwell's equations in nonlinear Kerr-type media. Both approaches are based on…
On torque computation in electric machine simulation by harmonic mortar methods
Herbert Egger, Mané Harutyunyan, Richard Löscher +2
The use of trigonometric polynomials as Lagrange multipliers in the harmonic mortar method enables an efficient and elegant treatment of relative motion in the stator-rotor couplin…
MONA -- A magnetic oriented nodal analysis for electric circuits
Idoia Cortes Garcia, Herbert Egger, Vsevolod Shashkov
The modified nodal analysis (MNA) is probably the most widely used formulation for the modeling and simulation of electric circuits. Its conventional form uses electric node potent…
Relative energy estimates for the Cahn-Hilliard equation with concentration dependent mobility
Aaron Brunk, Herbert Egger, Oliver Habrich +1
Based on relative energy estimates, we study the stability of solutions to the Cahn-Hilliard equation with concentration dependent mobility with respect to perturbations. As a by-p…
On the stability of harmonic mortar methods with application to electric machines
Herbert Egger, Mané Harutyunyan, Melina Merkel +1
Harmonic stator-rotor coupling offers a promising approach for the interconnection of rotating subsystems in the simulation of electric machines. This paper studies the stability o…
A model reduction approach for inverse problems with operator valued data
Jürgen Dölz, Herbert Egger, Matthias Schlottbom
We study the efficient numerical solution of linear inverse problems with operator valued data which arise, e.g., in seismic exploration, inverse scattering, or tomographic imaging…
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…
On energy preserving high-order discretizations for nonlinear acoustics
Herbert Egger, Vsevolod Shashkov
This paper addresses the numerical solution of the Westervelt equation, which arises as one of the model equations in nonlinear acoustics. The problem is rewritten in a canonical f…
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…