In shape optimization it is desirable to obtain deformations of a given mesh without negative
impact on the mesh quality. We propose a new algorithm using least square formulations of …

We consider techniques that enable large-scale gradient-based shape optimization of wave-
guiding devices in the context of three-dimensional time-domain simulations. The approach …

In industry, shape optimization problems are of utter importance when designing structures
such as aircraft, automobiles and turbines. For many of these applications, the structure …

In electrical engineering, for example, during the design of superconducting radio frequency
cavities, eigenmodes must be identified based on their field patterns. This allows to …

Models are used to explain and predict phenomena of interest. These can be as simple as
the exponential function to explain the rate of growth of bacteria [179]. The mathematical …

An important step in shape optimization with partial differential equation constraints is to
adapt the geometry during each optimization iteration. Common strategies are to employ …

Deformations of the computational mesh, arising from optimization routines, usually lead to
decrease of mesh quality or even destruction of the mesh. We propose a theoretical …

Computational meshes arising from shape optimization routines commonly suffer from
decrease of mesh quality or even destruction of the mesh. In this work, we provide an …

When designing a new car or a plane, engineers need to solve the Navier-Stokes equations
to understand how air flows around the object. Based on experience and intuition, they …

We propose a novel approach using shape derivatives to solve sharp interface geometric
inverse optimization problems governed by Maxwell's equations. A tracking-type target …