Weconsider linear divergence-form scalar elliptic equations and vectorial equations for elasticitywith rough (L∞( ), ⊂ Rd ) coefficientsa(x) that, in particular, model media with non-separated scales and high contrast in material properties. While the homogenization of PDEs with periodic or ergodic coefficients and well separated scales is now well understood, we consider here the most general ...

We consider divergence-form scalar elliptic equations and vectorial equations for elasticity with rough (L ∞ (Ω), Ω ⊂ R d) coefficients a(x) that, in particular, model media with non-separated scales and high contrast in material properties. While the homogenization of PDEs with periodic or ergodic coefficients and well separated scales is now well understood, we consider here the most general ...

Optimum design of structures is achieved while the design variables are continuous and discrete. To reduce the computational work involved in the optimization process, all the functions that are expensive to evaluate, are approximated. To approximate these functions, a semi quadratic function is employed. Only the diagonal terms of the Hessian matrix are used and these elements are estimated fr...

1.1 Our motivation for working on the subject presented below comes from the realisation of the rather paradoxical situation with the mathematics used by physicists in the last 70 or so years. Physicists have always been ahead of mathematicians in introducing and testing new methods of calculations, leaving to mathematicians the task of putting the new methods and ideas on a solid and rigorous ...

This paper focuses on querying semi structured data such as RDF data, using a proposed query language for the non-expert user, in the context of a lack knowledge structure. This language is inspired from the semantic regular path queries. The problem appears when the user specifies concepts that are not in the structure, as approximation approaches, operations based on query modifications and c...

Abstract This work focused on the discrete size and topology optimization problems for structures that could be composed of bars, beams, plates, or a combination them. A corresponding method was put forward based approximate concepts were extended from one applied in previous engineering method. In proposed method, primal problem firstly transformed into series explicitly involving both 0/1 var...

We present a hierarchical scheme for synthesis of concept approximations based on given data and domain knowledge. We also propose a solution, founded on rough set theory, to the problem of constructing the approximation of higher level concepts by composing the approximation of lower level concepts. We examine the effectiveness of the layered learning approach by comparing it with the standard...

the solutions of mathematical models for the estimation of the kinetic, and biokinetic parameters of naphthalene, anthracene and pyrene during degradation in surface and subsurface soils are presented in this work. the models were developed using the twin concepts of rate-determining step and steady-state approximation method. they described the biodegradation of single and a mixture of polycy...