188 citations · 1.6k across the 107 of their papers we have counts for
6 papers · 1 filter
Multi-material phase field approach to structural topology optimization
Luise Blank, M. Hassan Farshbaf-Shaker, Harald Garcke +2
Multi-material structural topology and shape optimization problems are formulated within a phase field approach. First-order conditions are stated and the relation of the necessary…
On the Stable Numerical Approximation of Two-Phase Flow with Insoluble Surfactant
John W. Barrett, Harald Garcke, Robert Nürnberg
We present a parametric finite element approximation of two-phase flow with insoluble surfactant. This free boundary problem is given by the Navier--Stokes equations for the two-ph…
Fast image segmentation and restoration using parametric curve evolution with junctions and topology changes
Heike Benninghoff, Harald Garcke
Curve evolution schemes for image segmentation based on a region based contour model allowing for junctions, vector-valued images and topology changes are introduced. Together with…
A Stable Parametric Finite Element Discretization of Two-Phase Navier--Stokes Flow
John W. Barrett, Harald Garcke, Robert Nürnberg
We present a parametric finite element approximation of two-phase flow. This free boundary problem is given by the Navier--Stokes equations in the two phases, which are coupled via…
Eliminating Spurious Velocities with a Stable Approximation of Viscous Incompressible Two-Phase Stokes Flow
John W. Barrett, Harald Garcke, Robert Nürnberg
We present a parametric finite element approximation of two-phase flow. This free boundary problem is given by the Stokes equations in the two phases, which are coupled via jump co…
Diffuse interface modelling of soluble surfactants in two-phase flow
Harald Garcke, Kei Fong Lam, Björn Stinner
Phase field models for two-phase flow with a surfactant soluble in possibly both fluids are derived from balance equations and an energy inequality so that thermodynamic consistenc…