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We consider random walks (RW) in a one-dimensional i.i.d. random environment with jumps to the nearest neighbours. For almost all environments, we prove a quenched Local Limit Theorem (LLT) for the...
We provide local formulas for the pressure of incompressible uids. The pressure can be expressed in terms of its average and averages of squares of velocity increments in arbitrary small neighborhoods...
Numerical experiments are given to verify the theoretical results for superconvergence of the elliptic problem by global and local L2-Projection methods.
We consider the convergence theory of local multigrid methods for H1()-elliptic and H(curl,)-elliptic variational problems on bounded Lipschitz domains. In the context of lowest order conforming fin...
Based on some coupled discretizations, a local computational scheme is proposed and analyzed in this paper for a class of higher order 痭ite element eigenvalue approximations. Its e眂iency is proven b...
We consider H(curl; ?-elliptic variational problems on bounded Lipschitz polyhedra and their 痭ite element Galerkin discretization by means of lowest order edge elements. We assume that the underlyin...
Abstract: This article is concerned with the representation of curves by means of integral invariants. In contrast to the classical differential invariants they have the advantage of being less sensit...
Given a set of sensor nodes V where each node wants to broadcast a message to all its neighbors that are within a certain broadcasting range, the local broadcasting problem is to schedule all these re...
We derive an upper bound for the mean of the supremum of the empirical process indexed by a class of functions that are known to have variance bounded by a small constant . The bound is expressed in ...
Lov´asz Local Lemma (LLL) is a probabilistic tool that allows us to prove the existence of combinatorial objects in the cases when standard probabilistic argument does not work (there are many p...
Based on two-grid discretizations, in this paper, some new local and parallel finite element algorithms are proposed and analyzed for the stationary incompressible Navier-Stokes problem. These algo...
Local mesh refinement is one of the key steps in implementations of adaptive finite element methods.This paper presents a parallel algorithm for distributed memory parallel computers for adaptive loca...

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