The dry frictional contact between two solid surfaces is well known to obey Coulomb friction laws. In particular, the static friction force resisting the relative lateral (tangential) motion of solid surfaces, initially at rest, is known to be proportional to the normal force and independent of the area of the macroscopic surfaces in contact. Experimentally, the static friction force has been o...

For large-scale eigenvalue problems the authors introduced in 16] a coarse grained parallel algorithm for distributed memory computers based on sub-structuring and improved static condensation. It was observed that the load balancing may become unsatisfactory if the master problem and the problems corresponding to the substructures are of signiicantly diierent size. In this paper we improve the...

The process of DNA condensation into nanometer-scale particles has direct relevance to several fields, including cell biology, virology, and gene delivery for therapeutic purposes. DNA condensation has also attracted the attention of polymer physicists, as the collapse of DNA molecules from solution into well defined particles represents an exquisite example of a polymer phase transition. Here ...

The aim of this paper is twofold. First, we review the recent Petrov-Galerkin enriched method (PGEM) to stabilize numerical solutions of BVP’s in primal and mixed forms. Then, we extend such enrichment technique to a mixed singularly perturbed problem, namely, the generalized Stokes problem, and focus on a stabilized finite element method arising in a natural way after performing static condens...

We reformulate the dual gauge model of the long-distance Yang-Mills theory in terms of the two-point Wightman functions formalism. In the flux-tube scheme of Abelian dominance and monopole condensation, the analytic expressions of both monopole-and dual gauge boson-fields propagators are obtained. Formally, new features of higher order quadratic equations for a monopole field are given. Finally...

This work presents a variational multiscale method based on polynomial bubble functions as subgrid scale and a numerical implementation based on two local Gauss integrations. This method can be implemented easily and efficiently for the convection-dominated problem. Static condensation of the bubbles suggests the stability of the method and we establish its global convergence. Representative nu...

An improved unusual nite element method is studied herein for a second-order linear scalar diierential equation including a zero order term. The method consists in subtracting from the standard Galerkin method a mesh dependent term suggested by static condensation of the bubbles. Based on this idea, a new stabilized parameter is constructed, which improves accuracy of the solution. Several nume...

We explain the implementation of adaptive multigrid methods for mixed finite element in its hybrid formulation using interelement Lagrange multipliers and static condensation. We apply this method to problems in linear elasticity using the stabilized BDM elements introduced by STENBERG. Therefore, a new type of grid transfer and a new error indicator is introduced. Numerical examples on unstruc...

We examine Bose-Einstein condensation as a form of symmetry breaking in the specific model of the Einstein static universe. We show that symmetry breaking never occurs in the sense that the chemical potential µ never reaches its critical value. This leads us to some statements about spaces of finite volume in general. In an appendix we clarify the relationship between the standard statistical m...

In recent years, privacy preserving data mining has become an important problem because of the large amount of personal data which is tracked by many business applications. In many cases, users are unwilling to provide personal information unless the privacy of sensitive information is guaranteed. A recent framework performs privacy preserving data mining by using a condensation based approach....