34 citations · 210 across the 52 of their papers we have counts for
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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…