𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Inexact Uzawa algorithms for variational inequalities of the second kind

✍ Scribed by Xiao-liang Cheng; Weimin Han


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
153 KB
Volume
192
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

✦ Synopsis


In this paper we discuss inexact Uzawa algorithms and inexact non-linear Uzawa algorithms to solve discretized variational inequalities of the second kind. We prove convergence results for the algorithms. Numerical examples are included to show the effectiveness of the algorithms.


πŸ“œ SIMILAR VOLUMES


Numerical verification of solutions for
✍ C.S. Ryoo; M.T. Nakao πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 389 KB

The purpose of this paper is to present an approach to the numerical proof of existence of solutions for the problem of the flow of a viscous plastic fluid in a pipe. Using the finite element approximations and the explicit a priori error estimates for the problem of the flow of a viscous plastic fl

Convergence rate to elliptic variational
✍ Lian Xue; Xiao-Liang Cheng πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 277 KB

This paper is concerned with convergence rate of a relaxation method for solving a simplified friction problem formulated as a variational inequality of the second kind. We establish a model of friction problem and approximate it by the finite element method. To solve the discrete problem, a relaxat

Discontinuous Galerkin finite element me
✍ J.K. Djoko πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 152 KB

## Abstract We develop the error analysis for the __h__‐version of the discontinuous Galerkin finite element discretization for variational inequalities of first and second kinds. We establish an a priori error estimate for the method which is of optimal order in a mesh dependant as well as __L__^2

On a boundary variational inequality of
✍ Hocine Guediri πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 185 KB

## Abstract A scalar contact problem with friction governed by the Yukawa equation is reduced to a boundary variational inequality. The presence of the non‐differentiable friction functional causes some difficulties when approximated. We present two methods to overcome this difficulty. The first on