87 citations · 457 across the 24 of their papers we have counts for
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math.NA2022★ 22 cited
Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches
Harald Garcke, Robert Nürnberg, Quan Zhao
We consider the numerical approximation of a sharp-interface model for two-phase flow, which is given by the incompressible Navier-Stokes equations in the bulk domain together with…
math.AP2022★ 18 cited
A diffuse-interface approach for solid-state dewetting with anisotropic surface energies
Harald Garcke, Patrik Knopf, Robert Nürnberg +1
We present a diffuse-interface model for the solid-state dewetting problem with anisotropic surface energies in for . The introduced model consists of…
math.NA2022★ 20 cited
A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters
Weizhu Bao, Harald Garcke, Robert Nürnberg +1
We consider the evolution of curve networks in two dimensions (2d) and surface clusters in three dimensions (3d). The motion of the interfaces is described by surface diffusion, wi…