A new method is introduced to analyze lossy Inhomogeneous Planar Layers (IPLs) for both TE and TM polarizations in this paper. The IPLs are subdivided into several thin linear layers instead of uniform ones. The chain parameter matrix of linear layers is obtained by expressing the electric and magnetic fields in power series expansion. This method is applicable to all arbitrary lossy IPLs. The ...

This presentation shows fundamental elements for models that are ICT-technology related. Basic hardware functions are discussed: storage, communication and computing with fundamental characteristics, such as throughput, latency, and capacity. A system is build by layers of software on top of hardware. The problem statement is how to reason about system properties, when the system consists of ma...

This work develops an ε-uniform finite element method for singularly perturbed boundary value problems. A surprising and remarkable observation is illustrated: By inserting one node arbitrarily in any element, the new finite element solution always intersects with the original one at fixed points, and the errors at those points converge at the same rate as regular boundary value problems (witho...

We consider the numerical approximation of singularly perturbed elliptic boundary value problems over non-smooth domains. We use a decomposition of the solution that contains a smooth part, a corner layer part and a boundary layer part. Explicit guidelines for choosing mesh-degree combinations are given that yield nite element spaces with robust approximation properties. In particular, we const...

A mixin-layer is a building block for assembling applications of a product-line. We explain mixinlayers, their relationship to collaboration-based designs, layered designs, and GenVoca. We also summarize some of the product-lines that we have built using mixin-layers.

Pax genes have been cloned on the basis of their homology to the Drosophila segmentation gene paired. They share a common domain, the paired domain, that is sufficient to mediate sequence-specific DNA binding. Thus far, nine members have been characterized, which exhibit highly restricted temporal and spatial expression patterns. The analysis of mouse mutants has revealed their crucial role in ...

The concept of quasiseparatrix layers (QSLs) has emerged as a powerful tool to study the connectivity of magnetic field lines undergoing magnetic reconnection in solar flares. Although they have been used principally by the solar physics community until now, QSLs can be employed to shed light on all processes in which reconnection occurs. We present the first application of this theory to an ex...

During vertebrate gastrulation, cells separate into different germ layers. A recent study investigates and quantifies the roles of cell adhesion and cortical tension during germ layer formation in zebrafish.

In this paper we present new results regarding the H1 0 -norm error estimate for the classical problem in homogenization using suitable boundary layer correctors. Compared with all the existing results on the subject, which assume either smooth enough coefficients or smooth data, we use the periodic unfolding method and propose a new asymptotic series to approximate the solution uε with an erro...

This work develops an ε-uniform finite element method for singularly perturbed two-point boundary value problems. A surprising and remarkable observation is illustrated: By inserting one node arbitrarily in any element, the new finite element solution always intersects with the original one at fixed points, and the errors at those points converge at the same rate as regular boundary value probl...