In this paper, we present a time and space rescaling scheme for the computation of moving interface problems. The idea is to map time–space such that the interfaces can evolve exponentially fast in the new time scale while the area/volume enclosed by the interface remains unchanged. The rescaling scheme significantly reduces the computation time (especially for slow growth), and enables one to ...

Any cubic crystal structure can be divided into small units in the form of congruent semi-regular (Archimedean) truncated octahedra. The centers of these polyhedra can be chosen at invariant equivalent positions for most cubic space groups. The part of a 0567-7394/79/060946-07501.00 crystal structure enclosed by an Archimedean polyhedron is called a geometric unit (or unit for short); however, ...

Constrained Willmore surfaces are conformal immersions of Riemann surfaces that are critical points of the Willmore energy W = R H 2 under compactly supported infinitesimal conformal variations. Examples include all constant mean curvature surfaces in space forms. In this paper we investigate more generally the critical points of arbitrary geometric functionals on the space of immersions under ...

This paper presents a design of a versatile tracked inspection mobile robot with an adjustable drive positioning system equipped with a drilling module for space and terrestrial applications. The robot is intended to operate on open terrain and in enclosed space. Track position adaptation mechanism enables the robot to work on uneven surfaces. A concept of utilization of a lightweight core dril...

Y. D. Cui, J. M. Lopez, T. T. Lim, and F. Marques Temasek Laboratories, National University of Singapore, Singapore 119260, Singapore School of Mathematical and Statistical Sciences, Arizona State University, Tempe, Arizona 85287, USA Department of Mechanical Engineering, National University of Singapore, Singapore 119260, Singapore Departament de Física Aplicada, Universitat Politècnica de Cat...