62 citations · 141 across the 7 of their papers we have counts for
7 papers
A convergent stochastic scalar auxiliary variable method
Stefan Metzger
We discuss an extension of the scalar auxiliary variable approach, which was originally introduced by Shen et al. ([Shen, Xu, Yang, J. Comput. Phys., 2018]) for the discretization…
A convergent SAV scheme for Cahn--Hilliard equations with dynamic boundary conditions
Stefan Metzger
The Cahn-Hilliard equation is one of the most common models to describe phase separation processes in mixtures of two materials. For a better description of short-range interaction…
Existence of nonnegative solutions to stochastic thin-film equations in two space dimensions
Stefan Metzger, Günther Grün
We prove the existence of martingale solutions to stochastic thin-film equations in the physically relevant space dimension . Conceptually, we rely on a stochastic Faedo-Galer…
On a novel approach for modeling liquid crystalline flows
Stefan Metzger
In this paper, we derive a new model for the description of liquid crystalline flows. While microscopic Doi type models suffer from the high dimensionality of the underlying produc…
Phase-field dynamics with transfer of materials: The Cahn--Hilliard equation with reaction rate dependent dynamic boundary conditions
Patrik Knopf, Kei Fong Lam, Chun Liu +1
The Cahn--Hilliard equation is one of the most common models to describe phase separation processes of a mixture of two materials. For a better description of short-range interacti…
Homogenization of two-phase flow in porous media from Pore to Darcy Scale: A phase-field approach
Stefan Metzger, Peter Knabner
We extend the two-scale expansion approach of periodic homogenization to include time scales and thus can tackle the full instationary Navier-Stokes-Cahn-Hilliard model at the pore…
An efficient and convergent finite element scheme for Cahn--Hilliard equations with dynamic boundary conditions
Stefan Metzger
The Cahn--Hilliard equation is a widely used model that describes amongst others phase separation processes of binary mixtures or two-phase flows. In the recent years, different ty…