Mechanical properties of rocks with inclusions, which may correspond to porous rocks under limiting conditions, are influenced by their shape, distributions, and intrinsic properties. Many different averaging methods such as homogenization, micro-mechanics and microstructure methods are proposed to estimate average thermo-hydro-mechanical properties of rocks. In this paper, the authors evaluate...

We consider homogenization problems in the framework of deterministic optimal control when the dynamics and running costs are completely different in two (or more) complementary domains of the space R . For such optimal control problems, the three first authors have shown that several value functions can be defined, depending, in particular, of the choice is to use only “regular strategies” or ...

| Approaches to the adequate homogenization of optical metamaterials are becoming more and more complex, primarily due to an increased understanding of the role of asymmetric electrical andmagnetic responses, in addition to thenonlocal effects of the surrounding medium, even in the simplest case of plane-wave illumination. The current trend in developing such advanced homogenization description...

In this paper we study the numerical homogenization of nonlinear random parabolic equations. This procedure is developed within a finite element framework. A careful choice of multiscale finite element bases and the global formulation of the problem on the coarse grid allow us to prove the convergence of the numerical method to the homogenized solution of the equation. The relation of the propo...

An objective method for homogenization of early (pre $1850) instrumental near surface air temperature records is developed. The method is grounded on the same variational principle as used in the objective analysis of meteorological ®elds; i.e. the method consists of a statistically optimal spatial-coherence-based adjustment of nearby station temperature records. The adjustments are made for se...

The introduction of alien species, which are also called exotic or non-native species, can cause a decrease in biotic similarity among areas when different species are introduced to each area and remain localized, a process called biotic differentiation (Olden & Poff, 2003; Qian et al., 2008). However, over time, alien species often spread widely and cause an increase in biotic similarity among...

Reflection and refraction of electromagnetic waves by artificial periodic composites (metamaterials) can be accurately modeled by an effective medium theory only if the boundary of the medium is explicitly taken into account and the two effective parameters of the medium (the index of refraction and the impedance) are correctly determined. Theories that consider infinite periodic composites do ...

Viscous sputum specimens usually cannot undergo automated extraction, and thus, a pre-homogenization process is desirable before isolating nucleic acids for real-time reverse transcription PCR. In this study, we compared three preprocessing methods [preprocessing with normal saline (NS), dithiothreitol (DTT), and proteinase K (PK)] of sputum specimens on the extraction and detection of influenz...

The effective permeability of electromagnetic metamaterials can deviate significantly from unity at high frequencies – an intriguing property not available in natural materials. However, we show both analytically and numerically that this artificial magnetism has limitations: the stronger the magnetic response, the less accurate the homogenization. New computational aspects of the paper include...

By employing the (de)homogenization technique in a relatively extensive setting, this note studies in detail the relation between nonhomogeneous Gröbner bases and homogeneous Gröbner bases. As a consequence, a general principle of computing Gröbner bases (for an ideal and its homogenization ideal) by passing to homogenized generators is clarified systematically. The obtained results improve and...