This short paper focuses on the application of concepts and methods of Spatial Cognition to building analysis. We investigate the close relationship between spatial knowledge and built environment by combining theoretical analysis with user comments and behavioral data. Based on an empirical study in a complex multi-level-building two main aspect of navigational space are considered: architectu...

Firstly, we define an order for differential forms. Secondly, we also define the supersolution and subsolution of the A-harmonic equation and the obstacle problems for differential forms which satisfy theA-harmonic equation, and we obtain the relations between the solutions toA-harmonic equation and the solution to the obstacle problem of the A-harmonic equation. Finally, as an application of t...

We study the regularity of solutions of the obstacle problem when the obstacle is smooth on each half of the unit ball but only Lipschitz across the shared boundary. We prove that the optimal regularity of these solutions is C 1 2 up to the shared boundary on each half of the unit ball. The proof uses a modification of Almgren’s frequency formula.

In this paper, the heat transfer to the fluid, passing through the double forward facing step (FFS) channel with square obstacle is enhanced by Taguchi’s S/N ratio analysis. Flow through the forward facing step channel has a wide range of applications in thermal systems due to its flow separation and subsequent reattachment, which in turn enhances the heat transfer. Flow separation and reattach...

Gait variability may serve as a sensitive and clinically relevant parameter to quantify adjustments in walking and the changes with aging and neurological disease. Variability of steps preceding obstacle avoidance (approach phase) are important for efficiency in the task, especially in people with Parkinson's disease (PD). However, variability of gait during the approach phase to obstacle avoid...