37 citations · 39 across the 4 of their papers we have counts for
5 papers
Shape optimization for surface functionals in Navier--Stokes flow using a phase field approach
Harald Garcke, Claudia Hecht, Michael Hinze +2
We consider shape and topology optimization for fluids which are governed by the Navier--Stokes equations. Shapes are modelled with the help of a phase field approach and the solid…
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…
Applying a phase field approach for shape optimization of a stationary Navier-Stokes flow
Harald Garcke, Claudia Hecht
We apply a phase field approach for a general shape optimization problem of a stationary Navier-Stokes flow. To be precise we add a multiple of the Ginzburg--Landau energy as a reg…
Numerical approximation of phase field based shape and topology optimization for fluids
Harald Garcke, Claudia Hecht, Michael Hinze +1
We consider the problem of finding optimal shapes of fluid domains. The fluid obeys the Navier--Stokes equations. Inside a holdall container we use a phase field approach using dif…
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…