55 citations · 178 across the 6 of their papers we have counts for
4 papers · 1 filter
An extension of the projected gradient method to a Banach space setting with application in structural topology optimization
Luise Blank, Christoph Rupprecht
For the minimization of a nonlinear cost functional under convex constraints the relaxed projected gradient process $φ_{k+1} = φ_{k} + α_k(P_H(φ_{k}-λ_k \nabla_H j(φ_{k}))-φ_{k…
Sharp interface limit for a phase field model in structural optimization
Luise Blank, Harald Garcke, Claudia Hecht +1
We formulate a general shape and topology optimization problem in structural optimization by using a phase field approach. This problem is considered in view of well-posedness and…
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…
Optimal control of Allen-Cahn systems
Luise Blank, M. Hassan Farshbaf-Shaker, Claudia Hecht +2
Optimization problems governed by Allen-Cahn systems including elastic effects are formulated and first-order necessary optimality conditions are presented. Smooth as well as obsta…