We compared nucleotide sequences of the transcription-initiation region of five mouse ribosomal DNA (rDNA) clones. Two clones were isolated from Japanese wild mice, Mus musculus molossinus, and the other three from BALB/c mice originating in M. m. domesticus. Two BALB/c clones that are derived from the same chromosome are very similar, suggesting the occurrence of intrachromosomal homogenizatio...

A networked environment suffers from unpredictable speedup behavior during distributed processing due to heterogeneous nature of the hardware and software in the remote machines. It is challenging to get better performance from a distributed system by distributing task in an intelligent manner such that the heterogeneous nature of the system do not have any effect on the speedup ratio. This pap...

Abstract. This paper considers the numerical evaluation of effective coefficients for multiscale homogenization problems and proposes a highly efficient algorithm for a certain class of reiterated homogenization problems of practical importance. The main idea of the proposed approach is to introduce a novel object called the homogenization map, approximate it through adaptive interpolation, and...

In this paper we extend the homogenization method to the optimization of the position of fuel assemblies in a nuclear reactor core. For this type of problem the state equation is a system of diffusion equations for the neutron flux. Homogenization theory allows to relax a truly discrete optimization problem into a continuous and well-posed optimization problem. The latter one is solved by using...

These Lecture Notes contain the abstract of ve lectures conceived as an introduction to -convergence methods in the theory of Homogenization, and delivered on September 8{10, 1993 as part of the \School on Homogenization" at the ICTP, Trieste. Their content is strictly linked and complementary to the subject of the courses held at the same School by A. Defranceschi and G. Buttazzo. Prerequisite...

The aim of upscaling is to determine equivalent homogeneous parameters at a coarse-scale from a spatially oscillating fine-scale parameter distribution. A large variety of upscaling methods is available, among which the homogenization method plays an important role. This paper presents an extension of the classical homogenization method to nonlinear problems as they occur while upscaling parame...

This paper is concerned with the approximation of effective coefficients in homogenization of linear elliptic equations. One common drawback among numerical homogenization methods is the presence of the so-called resonance error, which roughly speaking is a function of the ratio ε/η, where η is a typical macroscopic lengthscale and ε is the typical size of the heterogeneities. In the present wo...

A new Multiscale Enrichment method based on the Partition of Unity (MEPU) method is presented. It is a synthesis of mathematical homogenization theory and the Partition of Unity method. Its primary objective is to extend the range of applicability of mathematical homogenization theory to problems where scale separation may not be possible. MEPU is perfectly suited for enriching the coarse scale...

The effect of damage due to particle debonding on the constitutive response of highly filled composites is investigated using two multiscale homogenization schemes: one based on a closed-form micromechanics solution, and the other on the finite element implementation of the mathematical theory of homogenization. In both cases, the particle debonding process is modeled using a bilinear cohesive ...

We present here the homogenization of the equations for the initial modulational (large scale) perturbations of stationary solutions of the two-dimensional Navier–Stokes equations with a time-independent periodic rapidly oscillating forcing. The stationary solutions are cellular flows and they are determined by the stream function φ = sinx1/ sinx2/ + δ cosx1/ cosx2/ , 0 ≤ δ ≤ 1. Two results are...