21 citations · 28 across the 4 of their papers we have counts for
4 papers
Sharp-interface limit of a multi-phase spectral shape optimization problem for elastic structures
Harald Garcke, Paul Hüttl, Christian Kahle +1
We consider an optimization problem for the eigenvalues of a multi-material elastic structure that was previously introduced by Garcke et al. [Adv. Nonlinear Anal. 11 (2022), no. 1…
A phase-field version of the Faber--Krahn theorem
Paul Hüttl, Patrik Knopf, Tim Laux
We investigate a phase-field version of the Faber--Krahn theorem based on a phase-field optimization problem introduced in Garcke et al. [ESAIM Control Optim. Calc. Var. 29 (2023),…
Phase-Field Methods for Spectral Shape and Topology Optimization
Harald Garcke, Paul Hüttl, Christian Kahle +2
We optimize a selection of eigenvalues of the Laplace operator with Dirichlet or Neumann boundary conditions by adjusting the shape of the domain on which the eigenvalue problem is…
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…