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The paper develops a theory of a posteriors error estimates under the Lₚ -energy norm for 2 p. The theory is based on a general concept of error indicators and error estimators. Several specific examples of these quantities are introduced and analyzed in detail. The results provide a variety of easily computable error estimates under all these important norms for finite element solutions of one-dimensional problems.
Babuška et al. (1981) studied this question.