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A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients

✍ Scribed by Serge Nicaise; Juliette Venel

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
259 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

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 holds for the discrete problem for any regular meshes, extending the framework from . The reliability and efficiency of the proposed estimator are confirmed by some numerical tests.

πŸ“œ SIMILAR VOLUMES

A posteriori error estimates for mixed f
A posteriori error estimates for mixed finite element solutions of convex optimal control problems
✍ Yanping Chen; Wenbin Liu πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 217 KB

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 us