188 citations · 1.6k across the 107 of their papers we have counts for
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Overhang penalization in additive manufacturing via phase field structural topology optimization with anisotropic energies
Harald Garcke, Kei Fong Lam, Robert Nürnberg +1
A phase field approach for structural topology optimization with application to additive manufacturing is analyzed. The main novelty is the penalization of overhangs (regions of th…
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations
Weizhu Bao, Harald Garcke, Robert Nurnberg +1
We propose and analyze volume-preserving parametric finite element methods for surface diffusion, conserved mean curvature flow and an intermediate evolution law in an axisymmetric…
A phase-field approach to shape and topology optimization of acoustic waves in dissipative media
Harald Garcke, Sourav Mitra, Vanja Nikolić
We investigate the problem of finding the optimal shape and topology of a system of acoustic lenses in a dissipative medium. The sound propagation is governed by a general semiline…
Strong well-posedness, stability and optimal control theory for a mathematical model for magneto-viscoelastic fluids
Harald Garcke, Patrik Knopf, Sourav Mitra +1
In this article, we study the strong well-posedness, stability and optimal control of an incompressible magneto-viscoelastic fluid model in two dimensions. The model consists of an…
Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport
Harald Garcke, Dennis Trautwein
In this work, we consider a diffuse interface model for tumour growth in the presence of a nutrient which is consumed by the tumour. The system of equations consists of a Cahn--Hil…
A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex Coupling with Linker Dynamics
Philipp Werner, Martin Burger, Florian Frank +1
The aim of this paper is to develop suitable models for the phenomenon of cell blebbing, which allow for computational predictions of mechanical effects including the crucial inter…