Continuous Convergence of Relations - A Principle in Discretization Procedures - Rainer Ansorge Reihe A Preprint 189 October 2005

Hamburger Beiträge zur Angewandten Mathematik Continuous Convergence of Relations - A Principle in Discretization Procedures

اصول و مبانی همگرایی امت اسلامی از منظر قرآن

Today, the most important political process in relation to Islamic societies, especially the Middle East, is the conflicting relations of Islamic states, so that divergence and conflict during the last decades have continiously overcome the process of convergence between governments and Islamic societies. This conflict, in general, was at the two levels of internal level between different ethni...

Non-homogeneous continuous and discrete gradient systems‎: ‎the quasi-convex case

‎In this paper‎, ‎first we study the weak and strong convergence of solutions to the‎ ‎following first order nonhomogeneous gradient system‎ ‎$$begin{cases}-x'(t)=nablaphi(x(t))+f(t), text{a.e. on} (0,infty)\‎‎x(0)=x_0in Hend{cases}$$ to a critical point of $phi$‎, ‎where‎ ‎$phi$ is a $C^1$ quasi-convex function on a real Hilbert space‎ ‎$H$ with ${rm Argmin}phineqvarnothing$ and $fin L^1(0...

A discrete variational principle for rate-independent evolution

We develop a global-in-time variational approach to the time-discretization of rate-independent processes. In particular, we investigate a discrete version of the variational principle based on the weighted energy-dissipation functional introduced in [MO08]. We prove the conditional convergence of time-discrete approximate minimizers to energetic solutions of the time-continuous problem. Moreov...

Numerische Simulation Auf Massiv Parallelen Rechnern Wavelet Galerkin Schemes for 2d-bem Preprint-reihe Des Chemnitzer Sfb 393 Contents 1. Introduction 1 2. the Boundary Element Method 4 3. Wavelet Approximation for Bem 12 4. the Discrete Wavelet Galerkin Scheme 18

1 This paper is concerned with the implementation of the wavelet Galerkin scheme for the Laplacian in two dimensions. We utilize biorthogonal wavelets constructed by A. Cohen, I. Daubechies and J.-C. Feauveau in 3] for the discretization leading to quasi-sparse system matrices which can be compressed without loss of accuracy. We develop algorithms for the computation of the compressed system ma...