This paper presents the use of Powell-Sabin splines in the context of isogeometric analysis for the numerical solution of advectiondiffusion-reaction equations. Powell-Sabin splines are piecewise quadratic C functions defined on a given triangulation with a particular macro-structure. We discuss the Galerkin discretization based on a normalized Powell-Sabin B-spline basis. We focus on the accur...

Macro tree transducers (mtts) are a useful formal model for XML query and transformation languages. In this paper one of the fundamental decision problems on translations, namely the “translation membership problem” is studied for mtts. For a fixed translation, the translation membership problem asks whether a given input/output pair is element of the translation. For call-by-name mtts this pro...

In this paper we introduce two novel numerical integration schemes, within the framework of the heterogeneous multiscale method (HMM) when finite element method is used as the macroscopic solver, to resolve the elliptic problem with multiscale coefficient. For non-self-adjoint elliptic problems, optimal convergence rate is proved for the proposed methods, which naturally yields a new strategy f...

In this paper we introduce two novel numerical integration schemes, within the framework of the heterogeneous multiscale method (HMM) when finite element method is used as the macroscopic solver, to resolve the elliptic problem with multiscale coefficient. For non-self-adjoint elliptic problems, optimal convergence rate is proved for the proposed methods, which naturally yields a new strategy f...

The macro{hybrid formulation based on domain decomposition is considered for elliptic boundary value problems with both symmetric positive deenite and indeenite operators. The problem is discretized by the mortar element method, which leads to a large{scale sparse linear system with a saddle{ point matrix. In the case of symmetric and positive deenite operators, a block diagonal preconditioner ...

In this paper Multiple Input Multiple Output (MIMO) techniques for Universal Mobile Telecommunication System (UMTS) analysis is presented. To simulate the radio channel the COST 259 directional channel model (DCM) is used for macro and microcell scenarios, as defined by the Third Generation Partnership Project (3GPP). Values of capacity and Bit Error Rate (BER) are obtained for different MIMO c...

Multilayer thin-film PZT diaphragm has been designed and modeled. Commercial Finite element software, ANSYS was implemented to model the diaphragm. This multi-layer diaphragm can be used as both sensor and actuator. A simplified model is introduced to reduce the CPU time. Dynamic characteristics of the multilayer diaphragm have been investigated. The important parameters of the multilayer PZT d...

Multivariate spline functions are smooth piecewise polynomial functions over triangulations consisting of n-simplices in the Euclidean space IR. A straightforward method for using these spline functions to fit given scattered data and numerically solve elliptic partial differential equations is presented . This method does not require constructing macro-elements or locally supported basis funct...

Spaces of polynomial splines deened on planar triangulations are very useful tools for tting scattered data in the plane. Recently, 4, 5], using homogeneous polynomials, we have developed analogous spline spaces deened on triangulations on the sphere and on sphere-like surfaces. Using these spaces, it is possible to construct analogs of many of the classical interpolation and tting methods. Her...

Ultrasound-assisted crystallization (sonocrystallization) was used to prepare a mixture of nanoand micrometer-sized crystals of the monoclinic form of paracetamol − a widely used analgesic known for its particularly problematic mechanical behavior under compression (i.e. poor tabletability). The nanoand microsized crystals yielded a powder which exhibits elastic moduli and bulk cohesions that a...