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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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Kasdi Merbah Ouargla University
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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.