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math.NA2026
A computational model for short-range van der Waals interactions between beams and shells
Aleksandar Borković, Michael H. Gfrerer, Roger A. Sauer
We consider potential-based interactions between beams (or fibers) and shells (or membranes) using a coarse-grained approach with focus on van der Waals attraction and steric repul…
math.NA2026
On the importance of smoothness, interface resolution and numerical sensitivities in shape and topological sensitivity analysis
M. H. Gfrerer, P. Gangl
In this paper we investigate the influence of the discretization of PDE constraints on shape and topological derivatives. To this end, we study a tracking-type functional and a two…
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…