In this paper we present a unified framework for constructing spectrally equivalent low-order-refined discretizations the high-order finite element de Rham complex. This theory covers diffusion problems in $H^1$, $H({\rm curl})$, and div})$, is based on combining low-order discretization posed refined mesh with basis N\'ed\'elec Raviart-Thomas elements that makes use of concept polynomial histo...

We show that uncertainties in the values of the surface heavy element abundances of the Sun are the largest source of the theoretical uncertainty in calculating the p-p, pep, B, N, O, and F solar neutrino fluxes. We evaluate for the first time the sensitivity (partial derivative) of each solar neutrino flux with respect to the surface abundance of each element. We then calculate the uncertainti...

Blackbody effects in the Yb lattice clock Report Title We report a high accuracy measurement of the differential static polarizability for the clock transition in a Yb lattice clock, a key parameter for determining the blackbody (BBR) shift of this transition. We further report efforts to determine the ?6s5d3D1?D?6s6p3P0? reduced dipole matrix element, a critical ingredient in the non-static co...

A disparity gradient limit explains why the maximum amplitude of sinusoidal disparity gratings increases with decreasing disparity spatial frequency. It also explains why the largest disparity for binocular fusion (diplopia threshold) varies directly with stimulus element separation. Does a disparity gradient limit also apply to the detection of cyclopean shape? A previous study addressed this ...

In this paper we investigate the top-k-selection problem, i.e. determine the largest, second largest, ..., and the k-th largest elements, in the dynamic data model. In this model the order of elements evolves dynamically over time. In each time step the algorithm can only probe the changes of data by comparing a pair of elements. Previously only two special cases were studied [2]: finding the l...

We solve an interesting optimization problem motivated by tolerancing metrology, paper position sensing, and facility location: What rectangle fits best a given set of points? This problem has relations to the minimum width annulus problem and also to the largest empty rectangle problem for both of which O(n log n) time solutions are not known. Nevertheless, for our problem there is a linear ti...