  We propose and investigate a mesh deformation technique for PDE constrained
shape optimization. Introducing a gradient penalization to the inner product
for linearized shape spaces, mesh degeneration can be prevented within the
optimization iteration allowing for the scalability of employed solvers. We
illustrate the approach by a shape optimization for cellular composites with
respect to linear elastic energy under tension. The influence of the gradient
penalization is evaluated and the parallel scalability of the approach
demonstrated employing a geometric multigrid solver on hierarchically
distributed meshes.
