𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A posteriori error estimates for mixed finite element solutions of convex optimal control problems

✍ Scribed by Yanping Chen; Wenbin Liu

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
217 KB
Volume
211
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we present an a posteriori error analysis for mixed finite element approximation of convex optimal control problems. We derive a posteriori error estimates for the coupled state and control approximations under some assumptions which hold in many applications. Such estimates can be used to construct reliable adaptive mixed finite elements for the control problems.

πŸ“œ SIMILAR VOLUMES

A posteriori error estimates and adaptiv
A posteriori error estimates and adaptivity for finite element solutions in finite elasticity
✍ Roland MΓΌcke; J. R. Whiteman πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 1014 KB

Methods for a posteriori error estimation for finite element solutions are well established and widely used in engineering practice for linear boundary value problems. In contrast here we are concerned with finite elasticity and error estimation and adaptivity in this context. In the paper a brief o

A posteriori error estimates for a finit
A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients
✍ Serge Nicaise; Juliette Venel πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 259 KB

We perform the a posteriori error analysis of residual type of transmission problem with sign changing coefficients. According to Bonnet-BenDhia et al. (2010) [9], if the contrast is large enough, the continuous problem can be transformed into a coercive one. We further show that a similar property