A posteriori error estimators suitable for moving finite element methods   under anisotropic meshes
  In this paper, we give a new type of a posteriori error estimators suitable for moving finite element methods under anisotropic meshes for general second-order elliptic problems. The computation of estimators is simple once corresponding Hessian matrix is recovered. Wonderful efficiency indices are shown in numerical experiments. 
Xiaobo Yin, Hehu Xie
math.NA