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Another look at a posteriori error estimates

R E Bank (Invited Presentation)

University of California, San Diego

Abstract

In this talk we will examine a class of a posterioris error estimators which are formulated in terms of hierarchical basis functions. The analysis of such estimators is greatly simplified using using some analytical tools developed for the analysis of hierarchical basis iterative methods. In this lecture we will examine the self-adjoint positive definite case and the general linear indefinite case, using both conforming and nonconforming a posteriori error estimators. We we also present some examples of estimators for scalar elliptic equations and the Stokes system of equations.
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