We are witnessing the emergence of a new paradigm in the modeling of material structures.
It stems from the digitization of manufacturing and is fueled by advances in additive …

This paper introduces the basic concepts for physics-compatible discretization techniques.
The paper gives a clear distinction between vectors and forms. Based on the difference …

Computational modeling is a key resource to gather insight into physical systems in modern
scientific research and engineering. While access to large amount of data has fueled the use …

Behaviors of many engineering systems are described by lumped parameter models that
encapsulate the spatially distributed nature of the system into networks of lumped elements; …

With increased complexity of geometric data, topological models play an increasingly
important role beyond boundary representations, assemblies, finite elements, image …

In many areas of applied geometric/numeric computational mathematics, including geo-
map**, computer vision, computer graphics, finite element analysis, medical imaging …

The interpretation of auxiliary entities as boundary entities in previous non-manifold
boundary (NMB) representations may change a model's intended topology and increase the …

Over the last fifty years, there have been numerous efforts to develop comprehensive
discrete formulations of geometry and physics from first principles: from Whitney's geometric …

The paper analyzes the connectivity information (more precisely, numbers of tunnels and
their homological (co) cycle classification) of fractal polyhedra. Homology chain contractions …

In this paper we discuss the motivation, the technology, the design and the use-model of a
novel web service for quantity surveyors, aiming to exploit virtual and augmented reality …