- Michael Stingl, Univerity of Erlangen-Nuremberg
"Material and topology optimization: theory, methods and applications"
based material and topology optimization is an active field of research
since at least the last three decades. Applications reach nowadays from
mechanical problems through to wave guiding, cloaking or inverse
problems, in the framework of which locations of materials
inhomogeneities are identified.
From a mathematical point of
view there exist at least two main streams in the development of
underlying methods. The first one follows a material-parametric
approach, in which local material properties serve as optimization
variables. The associated algorithms often follow the
'first-discretize-then-optimize' paradigm, enabling the use of very
efficient higher order NLP algorithms. The second direction is based on
the calculus of shape and topological derivatives derived by asmptotic
analysis. Associated algorithms are defined directly at the infinite
dimensional level of the problem and make use, for instance, of
level-set representations of domains.
This minisymposium brings
together researchers from both communities, the material parametric and
the asymptotic analysis world. The idea is to present recent advances
from both communities, to analyse similarities between the approaches,
to exchange ideas and to discuss future directions.