Abstract A partition of unity (PU) function is an essential component of the generalized finite element method (GFEM). The popular Shepard PU functions, which are rational functions, are easy to construct, but have difficulties in dealing with essential boundary conditions and require lengthy computing time for reasonable accuracy in numerical integration. In this paper, we introduce two simple...

Regular exercise training improves insulin sensitivity and blood glucose control in subjects with type 2 diabetes [1] and is considered a key element in the management of this condition [2]. Furthermore, regular exercise in these subjects offers a number of additional benefits, such as improved body composition with increased skeletal muscle mass and decreased fat mass, especially ectopic and a...

We recall brieey in this paper the formal theory of regular grammatical inference from positive and negative samples of the language to be learned. We state this problem as a search toward an optimal element in a boolean lattice built from the positive information. We explain how a genetic search technique may be applied to this problem and we introduce a new set of genetic operators. In view o...

It is well known that a commutative ring R is complemented (that is, given a ∈ R there exists b ∈ R such that ab = 0 and a + b is a regular element) if an only if the total ring of quotients of R is von Neumann regular. We consider generalizations of the notion of a complemented ring and their implications for the total ring of quotients. We then look at the specific case when the ring is a rin...

This paper adresses the problem of eecient mappings of nested loops, and more generally of systems of aane recurrence equations, into regular arrays. The presented technique is based on the transformation of an initial systolic mapping. By studying the processor element (PE) activity, a nearly space-optimal mapping is designed by serializing the computations of several initial PEs into a single...

Hexahedral meshes are largely used by the Finite Element Method in a high variety of simulation problems. One of the most common problems of these type of meshes is to achieve an adequate approximation of curved domains; a feature typically found in the shape of organs. This work introduces a set of mixed-elements patterns, which are employed at the surface of target domain, and allow to conser...

Generalized KdV hierarchies associated by Drinfeld-Sokolov reduction to grade one regular semisimple elements from non-equivalent Heisenberg subalgebras of a loop algebra G ⊗ C[λ, λ −1 ] are studied. The graded Heisenberg subalgebras containing such elements are labelled by the regular conjugacy classes in the Weyl group W(G) of the simple Lie algebra G. A representative w ∈ W(G) of a regular c...

Regular rcpttitive texam arc common in rcal-workl scaux, occurring in both n a n d and man-made environments. Their analysis is important for image segmentatim and fos shape recovery from surf= texture. There are two fundamental problems in analyzing reguiar repetitive texture. F d y , rbc frcsucncy interpretation of any regular t e x m is ambiguous since that arc many altanative imqmatiap tbat...