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.
Numerical verification of solutions for variational inequalities of the second kind
β Scribed by C.S. Ryoo; M.T. Nakao
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 389 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
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 fluid in a pipe, we present an effective verification procedure that, through numerical computation, generates a set which includes the exact solution. Further, a numerical example is presented.
π SIMILAR VOLUMES
## Abstract We consider a numerical method that enables us to verify the existence of solutions for variational inequalities. This method is based on the infinite dimensional fixed point theorems and explicit error estimates for finite element approximations. Using the finite element approximations
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
## Abstract We develop the error analysis for the __h__βversion 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