A two-grids/projection algorithm for obstacle problems
โ Scribed by A. Caboussat; R. Glowinski
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 481 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
โฆ Synopsis
In order to emphasize the possible relatmn between discontinuous and continuous approximations on different meshes, a two-grids method for the resolution of parabolic variational mequality problems is presented. The numemcal methodology combines a time splitting algorithm to decouple a diffusion phenomenon from an obstacle problem. The diffusion problem is solved by using fimte-dlfferences, while pmcewlse hnear fimte-element techmques are used together with a Newton method for the obstacle problem Pro3ectmns are used to interpolate the solution from one grad to the other. Numerical expemments show that the resulting method has good accuracy propertms
๐ SIMILAR VOLUMES
ln this paper, we propose an algorithm for solving the obstacle problem. We try to find the approximated region of the contact in the obstacle problem by iteration. Numerical examples are given for the obstacle problem for a membrane and the elastic-plastic torsion problem. (~) 2004 Elsevier Ltd. Al
The numerical solution of problems involving frictionless contact between an elastic body and a rigid obstacle is considered. The elastic body may undergo small or large deformation. Finite element discretization and repetitive linearization lead to a sequence of quadratic programming (QP) problems