This article introduces a novel method for the implementation of shape optimisation with
Lipschitz domains. We propose to use the shape derivative to determine deformation fields …

The use of node coordinates as design variables in shape optimization offers a larger
design space than computer-aided design (CAD)-based shape parameterizations. It also …

This work studies shape filtering techniques, namely the convolution-based (explicit) and the
PDE-based (implicit), and introduces the implicit bulk-surface filtering method to control the …

The latest updates on the Vertex Morphing technique for large optimization problems are
shown in this work. Discussions about the challenges of node-based shape optimization in …

In this paper, we present version 2.0 of cashocs. Our software automates the solution of PDE
constrained optimization problems for shape optimization and optimal control. Since its …

In the last decade, parameter-free approaches to shape optimization problems have
matured to a state where they provide a versatile tool for complex engineering applications …

The paper is concerned with a node-based, gradient-driven, continuous adjoint two-phase
flow procedure to optimize the shapes of free-floating vessels and discusses three topics …

Free-form shape optimization techniques are investigated to improve the separation
efficiency of structured packings in laboratory-scale distillation columns. A simplified …

Shape optimization of flow fields for electrochemical cells is performed. Simulation models of
the flow field are introduced with and without the porous transport layer. The latter model is …

This work develops an algorithm for PDE-constrained shape optimization based on Lipschitz
transformations. Building on previous work in this field, the p-Laplace operator is utilized to …