42 citations · 94 across the 5 of their papers we have counts for
6 papers
The -torsion for representations of hyperbolic lattices
Benjamin Waßermann
We prove equality of analytic and topological -torsion associated with an odd-dimensional finite volume hyperbolic manifold and a representation of the fundamental group which…
Finite Cell Method for functionally graded materials based on V-models and homogenized microstructures
Benjamin Wassermann, Nina Korshunova, Stefan Kollmannsberger +2
This paper proposes an extension of the finite cell method (FCM) to V-rep models, a novel geometric framework for volumetric representations. This combination of an embedded domain…
An -Cheeger Müller theorem on compact manifolds-with-boundary
Benjamin Waßermann
We generalize a Cheeger-Müller type theorem for flat, unitary bundles on infinite covering spaces over manifolds-with-boundary, proven by Burghelea, Friedlander and Kappeller arXiv…
Integrating CAD and Numerical Analysis: 'Dirty Geometry' handling using the Finite Cell Method
Benjamin Wassermann, Stefan Kollmannsberger, Shuohui Yin +2
This paper proposes a computational methodology for the integration of Computer Aided Design (CAD) and the Finite Cell Method (FCM) for models with "dirty geometries". FCM, being a…
From geometric design to numerical analysis: A direct approach using the Finite Cell Method on Constructive Solid Geometry
Benjamin Wassermann, Stefan Kollmannsberger, Tino Bog +1
During the last ten years, increasing efforts were made to improve and simplify the process from Computer Aided Design (CAD) modeling to a numerical simulation. It has been shown t…
A design-through-analysis approach using the Finite Cell Method (ECCOMAS Congress 2016)
Benjamin Wassermann, Tino Bog, Stefan Kollmannsberger +1
Modern 3D Computer-Aided-Design (CAD) systems use mainly two types of geometric models. Classically, objects are defined by a Boundary Representation (B-Rep), where only the object…