A posteriori analysis of a finite element discretization of a Naghdi shell model

作者:Bernardi Christine*; Hecht Frederic; Le Dret Herve; Blouza Adel
来源:IMA Journal of Numerical Analysis, 2013, 33(1): 190-211.
DOI:10.1093/imanum/drs009

摘要

We are interested in the finite element discretization of the Naghdi equations, which model a thin three-dimensional shell. The discrete problem is derived from a mixed formulation of these equations. Its a posteriori analysis leads to the construction of error indicators, which satisfy optimal estimates. We describe a mesh adaptivity strategy relying on these indicators and we present some numerical experiments that confirm its efficiency.

  • 出版日期2013-1