Composition problem is considered for partition constrained vertex subsets of n dimensional unit cube n E . Generating numerical characteristics of n E subsets partitions is considered by means of the same characteristics in 1 − n dimensional unit cube, and construction of corresponding subsets is given for a special particular case. Using pairs of lower layer characteristic vectors for 1 − n E...

In this paper we present a new quadrature method for computing Galerkin stiiness matrices arising from the discretisation of 3D boundary integral equations using continuous piecewise linear boundary elements. This rule takes as points some subset of the nodes of the mesh and can be used for computing non-singular Galerkin integrals corresponding to pairs of basis functions with non-intersecting...

The dual boundary element method is formulated for the analysis of linear elastic cracked plates. The dual boundary integral equations of the method are the displacement and the traction equations. When these equations are simultaneously applied along the crack boundaries, general crack problems can be solved in a single-region formulation, with both crack boundaries discretized with discontinu...

In this paper, we will present composite boundary elements (CBE) for classical Fredholm boundary integral equations. These new boundary elements allow the low-dimensional discretisation of boundary integral equation where the minimal number of degrees of freedom is independent of the, possibly, huge number of charts which are necessary to describe a complicated surface. The applications are thr...

The edge function asymptotic boundary discretization method, which generates a partition of the boundary into a finite set of boundary elements, and its application to three-dimensional problems of linear isotropic elasticity are presented. The present solution representation, which is global, is constructed from asymptotic solutions of the Navier equations of elasticity. The unknown parameters...

In the bithorax complex of Drosophila melanogaster, the chromatin boundary elements (BE) demarcate cis-regulatory domains that regulate Hox genes along the anteroposterior body axis. These elements are closely associated with the Polycomb Response Elements (PREs) and restrict the ectopic activation of cis-regulatory domains during development. The relevance of such specific genomic arrangements...

Inside-out algorithms provide the ability to generate all hexahedral meshes by first introducing a structured mesh that bounds the complete body modeled, then secondly by manipulating the exterior of this structured mesh to fit the specific boundary of the body. Such algorithms generally provide high quality meshes on the interior of the body but suffer with lower quality elements on the bounda...