20 citations · 29 across the 8 of their papers we have counts for
9 papers
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…
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…
Efficient snap-to-contact computations for van der Waals interacting fibers
Aleksandar Borković, Michael H. Gfrerer, Roger A. Sauer +1
We consider van der Waals interactions between in-plane fibers, where the computational model employs the Lennard-Jones potential and the coarse-grained approach. The involved 6D i…
AutoFreeFem: Automatic code generation with FreeFEM++ and LaTex output for shape and topology optimization of non-linear multi-physics problems
Grégoire Allaire, Michael H. Gfrerer
For an educational purpose we develop the Python package AutoFreeFem which generates all ingredients for shape optimization with non-linear multi-physics in FreeFEM++ and also outp…
Teaching mechanics with individual exercise assignments and automated correction
Michael H. Gfrerer, Benjamin Marussig, Katharina Maitz +1
Solving exercise problems by yourself is a vital part of developing a mechanical understanding. Yet, most mechanics lectures have more than 200 participants, so the workload for ma…
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…
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…
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…
Isogeometric Parametrization Inspired by Large Elastic Deformation
Alexander Shamanskiy, Michael Helmut Gfrerer, Jochen Hinz +1
The construction of volumetric parametrizations for computational domains is a key step in the pipeline of isogeometric analysis. Here, we investigate a solution to this problem ba…