We derive a new a posteriori error estimator for the Lamé system based on H(div)-conforming elements and equilibrated fluxes. It is shown that the estimator gives rise to an upper bound where the constant is one up to higher-order terms. The lower bound is also established using Argyris elements. The reliability and efficiency of the proposed estimator are confirmed by some numerical tests.
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Nicaise et al. (2007) studied this question.
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