This paper is concerned with the motion of electrically charged particles in \curved" inn-nite strip. The equations of motion are ' = with initial and boundary conditions, where ' is the electric potential, is the particle trajectory, P is the charge distribution, and J is the Jacobian. The lower boundary ? 0 of the strip is grounded. Therefore, once a particle reaches ? 0 ; it loses its charge...

In this paper, we derive a general accuracy-preserving boundary flux quadrature formula for the secondand third-order node-centered edge-based finite-volume discretizations on triangular and tetrahedral grids. It is demonstrated that the general formula reduces to some well-known formulas for the second-order scheme in the case of linear fluxes. Some special boundary grids are also examined. In...

Designing and controlling particle self-assembly into robust and reliable high-performance smart materials often involves crystalline ordering in curved spaces. Examples include carbon allotropes like graphene, synthetic materials such as colloidosomes, or biological systems like lipid membranes, solid domains on vesicles, or viral capsids. Despite the relevance of these structures, the irrever...

This paper presents a structure-aware inpainting, which automatically reconnects broken links of boundaries on a missing region, then inpaints each remaining part by exemplars.This paper presents a structure-aware inpainting, which automatically reconnects broken links of boundaries on a missing region, then inpaints each remaining part by exemplars. Boundary contours obtained by a region segme...

An important feature of the natural action of a negatively curved (= word hyperbolic) group on its boundary is that the xed points of hyperbolic (= innnite order) elements form a dense subset of the boundary. Gromov states this in his innuential treatise Hyperbolic Groups 4, 8.2 D] and his explanation involves Stalling's theorem on groups with innnitely many ends. This short note provides an el...

of a curved surface is the envelope of contour generators showing the boundary, at least locally, of the visible region swept out under viewer motion. In general, the outlines of curved surfaces (apparent contours) from di erent viewpoints are generated by di erent contour generators on the surface and hence do not provide a constraint on viewer motion. We show that points, however, have projec...

We discuss maximally symmetric curved deformations of the flat domain wall solutions of five-dimensional dilaton gravity that appeared in a recent approach to the cosmological constant problem. By analyzing the bulk field configurations and the boundary conditions at a four-dimensional maximally symmetric curved domain wall, we obtain constraints on such solutions. For a special dilaton couplin...

The accurate prediction of turbulent flows separating from curved and otherwise continuous surfaces is one of the most difficult tasks for any computational framework. Among several difficulties, two major ones are the unsteady, spatially varying separation region – usually involving patches of alternately separated and attached flow and the need to resolve accurately the very thin near-wall la...