✦ LIBER ✦
Domain decomposition for a non-smooth convex minimization problem and its application to plasticity
✍ Scribed by Carsten Carstensen
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 120 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1070-5325
No coin nor oath required. For personal study only.
✦ Synopsis
Lions's work on the Schwarz alternating method for convex minimization problems is generalized to a certain non-smooth situation where the non-differentiable part of the functionals is additive and independent with respect to the decomposition. Such functionals arise naturally in plasticity where the material law is a variational inequality formulated in L 2 ( ). The application to plasticity with hardening is sketched and gives contraction numbers which are independent of the discretization parameter h and of a possible regularization of the non-smooth material law.