188 citations · 1.6k across the 107 of their papers we have counts for
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math.OC2020★ 24 cited
Sparse optimal control of a phase field tumour model with mechanical effects
Harald Garcke, Kei Fong Lam, Andrea Signori
In this paper, we study an optimal control problem for a macroscopic mechanical tumour model based on the phase field approach. The model couples a Cahn--Hilliard type equation to…
math.OC2020★ 21 cited
Shape and Topology Optimization involving the eigenvalues of an elastic structure: A multi-phase-field approach
Harald Garcke, Paul Hüttl, Patrik Knopf
A cost functional involving the eigenvalues of an elastic structure, that is described by a multi-phase-field equation, is optimized. This allows us to handle topology changes and…