In this article, element free Galerkin method is used for static analysis of thin micro/nanoscale plates based on the nonlocal plate theory. The problem is solved for the plates with arbitrary boundary conditions. Since shape functions of the element free Galerkin method do not satisfy the Kronecker’s delta property, the penalty method is used to impose the essential boundary conditions. Discre...

Due to the increasing web, there are many challenges to establish a general framework for data mining and retrieving structured data from the Web. Creating an ontology is a step towards solving this problem. The ontology raises the main entity and the concept of any data in data mining. In this paper, we tried to propose a method for applying the "meaning" of the search system, But the problem ...

In this paper we present a hybrid domain decomposition approach for the parallel solution of linear systems arising from a discontinuous Galerkin (DG) finite element approximation of initial boundary value problems. This approach allows a general decomposition of the space–time cylinder into finite elements, and is therefore applicable for adaptive refinements in space and time. 1 A Space–Time ...

A mesoscopic/macroscopic model for self-consistent charged transport under high field scaling conditions corresponding to drift-collisions balance was derived by Cercignani, Gamba, and Levermore in [4]. The model was summarized in relationship to semiconductors in [2]. In [3], a conceptual domain decomposition method was implemented, based upon use of the drift-diffusion model in highly-doped r...

We apply a method of quasilinearization to a boundary value problem for an ordinary differential equation on an unbounded domain. A uniquely determined Green’s function, which is integrable and of fixed sign, is employed. The hypotheses to apply the quasilinearization method imply uniqueness of solutions. The quasilinearization method generates a bilateral iteration scheme in which the iterates...

We discuss TABASCO, a method for constructing Domain-Specific Toolkits (DSTs). We present TABASCO in the context of domain engineering and generative programming. We discuss the steps of TABASCO in detail, with a focus on the software construction side, giving examples based on actual applications of the method. In doing so, we show that TABASCO is a domain engineering method aimed at a particu...

results for error analysis of finite element method We consider the following four problems: 1: (E)w: Find u ∈ V such that a(u, v) = (f, v) for all v ∈ V . 2: (Eh)w: Find uh ∈ Vh such that a(uh, vh) = (f, vh) for all vh ∈ Vh. 3: (E)w: Find u ∈ V such that a (u , v) = (f, v) for all v ∈ V . DDM APPLIED TO RADIATION PROBLEMS 389 4: (Eh )w: Find u N h ∈ Vh such that a (uh , vh) = (f, vh) for all v...

where u is the displacement and f 2 L( ) is the body force. Some of the simplest plate elements such as the Morley element (cf. [29]), the Zienkiewicz element (cf. [3]), the Fraeijs de Veubeke element (cf. [22]), the incomplete biquadratic element (cf. [34]) and the Adini element (cf. [1]) are nonconforming. Overlapping domain decomposition methods for nonconforming plate elements were studied ...