A posteriori analysis of penalized and mixed formulations of Koiter's shell model

作者：Blouza Adel^*; El Alaoui Linda; Mani Aouadi Saloua

来源：Journal of Computational and Applied Mathematics, 2016, 296: 138-155.

DOI：10.1016/j.cam.2015.07.007

• Koiter model
• Finite element
• A posteriori analysis

We are interested in finite element approximations of a Koiter model for linearly elastic shells with little regularity. To perform conforming method, we present a penalized and a mixed formulations of the model allowing to approximate and to enforce weakly mechanical constraints, respectively. We establish existence and uniqueness of the solution to the both formulations. Moreover, a posteriori analysis is led yielding an upper bound and a lower bound of the error. Finally, numerical results are presented to illustrate the efficiency of the a posteriori estimators. We therefore, propose a mesh adaptivity strategy relying on these indicators.

• 出版日期2016-4