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A priori and a posteriori error analysis for a hybrid formulation of a prestressed shell model.
  • Serge Nicaise,
  • Ismail Merabet,
  • Rayhana REZZAG BARA
Serge Nicaise
Universite Polytechnique Hauts-de-France
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Ismail Merabet
Kasdi Merbah Ouargla University
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Rayhana REZZAG BARA
Kasdi Merbah Ouargla University
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Abstract

This work deals with the finite element approximation of a prestressed shell model using a new formulation where the unknowns (the displacement and the rotation of fibers normal to the midsurface) are described in Cartesian and local covariant basis respectively. Due to the constraint involved in the definition of the functional space, a penalized version is then considered. We obtain a non robust a priori error estimate of this penalized formulation, but a robust one is obtained for its mixed formulation. Moreover, we present a reliable and efficient a posteriori error estimator of the penalized formulation. Numerical tests are included that confirmthe efficiency of our residual a posteriori estimator.

Peer review status:UNDER REVIEW

14 Mar 2021Submitted to Mathematical Methods in the Applied Sciences
15 Mar 2021Submission Checks Completed
15 Mar 2021Assigned to Editor
22 Mar 2021Reviewer(s) Assigned
10 May 2021Review(s) Completed, Editorial Evaluation Pending
11 May 2021Editorial Decision: Revise Major
12 May 20211st Revision Received
13 May 2021Submission Checks Completed
13 May 2021Assigned to Editor
21 Jun 2021Reviewer(s) Assigned