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Error analysis for a mixed DG method for folded Naghdi's shell

Abstract : In this Note, we perform some error analyses of a mixed discontinuous formulation for Naghdi's equations for thin linearly elastic shells. Using a combination between the a priori and the a posteriori techniques, we derive a quasi-optimal a priori error estimate and an efficient and reliable a posteriori error estimate. Thereby the analysis does not require any additional regularity other than of the weak solution.
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Submitted on : Thursday, March 4, 2021 - 11:20:07 AM
Last modification on : Friday, September 9, 2022 - 9:18:07 AM

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Serge Nicaise, Ismail Merabet. Error analysis for a mixed DG method for folded Naghdi's shell. Comptes Rendus. Mathématique, Académie des sciences (Paris), 2015, 353 (7), pp.659-664. ⟨10.1016/j.crma.2015.04.017⟩. ⟨hal-03158953⟩

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