4 papers · 1 filter
A Linear View on Shape Optimization
Stephan Schmidt, Volker H. Schulz
Shapes do not define a linear space. This paper explores the linear structure of deformations as a representation of shapes. This transforms shape optimization to a variant of opti…
Simultaneous Shape and Mesh Quality Optimization using Pre-Shape Calculus
Daniel Luft, Volker Schulz
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 approach to…
GivEn -- Shape Optimization for Gas Turbines in Volatile Energy Networks
Jan Backhaus, Matthias Bolten, Onur Tanil Doganay +19
This paper describes the project GivEn that develops a novel multicriteria optimization process for gas turbine blades and vanes using modern "adjoint" shape optimization algorithm…
Efficient Techniques for Shape Optimization with Variational Inequalities using Adjoints
Daniel Luft, Volker H. Schulz, Kathrin Welker
In general, standard necessary optimality conditions cannot be formulated in a straightforward manner for semi-smooth shape optimization problems. In this paper, we consider shape…