34 citations · 210 across the 52 of their papers we have counts for
7 papers · 1 filter
On existence, uniqueness and stability of solutions to Cahn-Hilliard/Allen-Cahn systems with cross-kinetic coupling
Aaron Brunk, Herbert Egger, Timileyin David Oyedeji +2
A system of phase-field equations with strong-coupling through state and gradient dependent non-diagonal mobility matrices is studied. Existence of weak solutions is established by…
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…
Variational quantitative phase-field modeling of nonisothermal sintering process
Timileyin David Oyedeji, Yangyiwei Yang, Herbert Egger +1
In this work, we present a variational and quantitative phase-field model for non-isothermal sintering processes. The model is derived via an extended non-diagonal phase-field mode…
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…