A simple analysis of some a posteriori error estimates

✍ Scribed by Randolph E. Bank

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 564 KB
• Volume: 26
• Category: Article
• ISSN: 0168-9274
• DOI: 10.1016/s0168-9274(97)00081-0

✦ Synopsis

We analyze two popular classes of a posteriori error estimates within the abstract framework established by Babugka and Aziz (1972). Within this framework, we find that bounds for the a posteriori error estimates depend on several of the same constants as a priori error estimates, notably the famous inf-sup constant. We apply our general theory to some specific finite element approximations for the Poisson equation and Stokes equations.