20 citations · 29 across the 8 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.OC2022★ 5 cited
A unified approach to shape and topological sensitivity analysis of discretized optimal design problems
Peter Gangl, Michael H. Gfrerer
We introduce a unified sensitivity concept for shape and topological perturbations and perform the sensitivity analysis for a discretized PDE-constrained design optimization proble…
cs.CE2022★ 20 cited
Geometrically exact isogeometric Bernoulli-Euler beam based on the Frenet-Serret frame
A. Borković, M. H. Gfrerer, B. Marussig
A novel geometrically exact model of the spatially curved Bernoulli-Euler beam is developed. The formulation utilizes the Frenet-Serret frame as the reference for updating the orie…
math.NA2022
The Numerical Assembly Technique for arbitrary planar systems based on an alternative homogeneous solution
Thomas Kramer, Michael Helmut Gfrerer
The Numerical Assembly Technique is extended to investigate arbitrary planar frame structures with the focus on the computation of natural frequencies. This allows us to obtain hig…