Abstract
In this paper we study several goal-oriented error estimates based on the standard even–odd a posteriori error estimates for elliptic problems. We present four goal-oriented estimates and prove that Oden's estimate converges to the true error under mesh refinement. Computational results further indicate that Oden's estimate converges to the true error under even- p refinement. We also extend Oden's procedure to fourth-order problems using even–odd error estimates and prove its asymptotic exactness under mesh refinement.
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