Researchers: Andreas Rietz, Peter Christensen, Thomas Borrvall
Funding: TFR-Swedish Research Council for Engineering Sciences
Topology optimization has proven to be an effective tool
for obtaining more efficient and lighter structures. Several formulations
are mathematically well-posed e.g.
by enforcing so-called perimeter-like bounds.
Therefore it is timely to try to design efficient solution methods,
especially for large-scale
problems since a good resolution requires a very fine mesh.
In this setting, designing solution methods
involves, in principal, mathematical programming as
well as numerical analysis.
In addition to the natural use of optimization algorithms, this project focusses on finite element (FE) analyses in the framework of topology optimization. More precisely, we propose to investigate and develop multigrid methods for linear topology optimization problems and separable techniques for topology optimization with perimeter-like bounds. The way to perform the FE-discretizations , especially the discretization of perimeter bounds, will also be investigated.
Lately, we have generalized the topology optimization methodology to fluid mechanics.