We present a study of the local discontinuous Galerkin method for transient convection-di usion problems in one dimension. We show that p degree piecewise polynomial discontinuous nite element solutions of convection-dominated problems are O( xp+2) superconvergent at Radau points. For di usion-dominated problems, the solution's derivative is O( xp+2) superconvergent at the roots of the derivati...

Oxygen delivery to the tissues is crucial to survival but our understanding of the processes involved in the transport of oxygen from blood to tissue is incomplete. The aim of the present work is to illustrate a long-standing paradox regarding such transport by reporting new state-of-the-art measurements and by analyzing the results in several ways, thereby exploring possible resolutions of the...

GIS managers traditionally consider three perspectives of the nature of GIS when introducing GIS into an organization. When the GIS is developed to address focused and well de® ned problems of the organization, these perspectives adequately describe the changing identities of GIS in the study of its di€ usion. However when the GIS is developed to address strategic, but vaguely de® ned problems,...

This paper deals with development and analysis of a fully discrete nite element method for a nonlinear di erential system for describing an air water system in groundwater hydrol ogy The nonlinear system is written in a fractional ow formulation i e in terms of a saturation and a global pressure The saturation equation is approximated by a nite element method while the pressure equation is trea...

The di culty encountered when solving singularly perturbed differential equations is that errors introduced in layers pollute the solution in smooth regions. Since a priori control of the errors in layers is di cult, special methods must be designed to reduce or eliminate polluting errors. Successful methods add dissipation to a computational scheme to enlarge layers to the mesh spacing. We foc...

The paper deals with the analysis of pair di usion models in semiconductor technology. The underlying model contains reaction-drift-di usion equations for the mobile point defects and dopant-defect pairs as well as reaction equations for immobile dopants which are coupled with a nonlinear Poisson equation for the chemical potential of the electrons. For homogeneous structures we present an exis...

A stainless steel grid baked by a propane±air premixed ¯ame had iron, chromium and nickel oxide deposits on the grid surface. With this grid, entangled and curved shape multi-walled carbon nanotubes (MWNTs) were harvested from an ethylene±air di€usion ¯ame with yield rate of 3 mg/min. Nitrogen addition to the ¯ame was found to straighten the entangled tubes probably by lowering the ¯ame tempera...

In this paper we develop local and global estimates for the solution of advection-di usion problems. We then study the convergence properties of a Time Marching Algorithm solving advection-di usion problems on two domains using incompatible discretizations. This study is based on a DeGiorgi-Nash maximum principle. This work has been supported by the Hermes Research program under grant number RD...

Consequences of long-range hopping in one-dimensional tight-binding models are studied. A hopping term proportional to 1=r ij is used, where rij denotes the distance between atoms i and j and determines the range of the interactions within the system. Calculations of the di usion of an electron along the lattice yield interesting e ects of nonextensivity. In particular, we nd that the mean squa...

Edges are viewed as statistical outliers with respect to local image gradient magnitudes. Within local image regions we compute a robust statistical measure of the gradient variation and use this in an anisotropic di usion framework to determine a spatially varying \edgestopping" parameter . We show how to determine this parameter for two edge-stopping functions described in the literature (Per...