数学季刊(英文版)
數學季刊(英文版)
수학계간(영문판)
CHINESE QUARTERLY JOURNAL OF MATHEMATICS
2007年
4期
492-499
,共8页
finite element method%anisotropic%superconvergence%posteriori error estimate
The main aim of this paper is to give an anisotropic posteriori error estimator.We firstly study the convergence of bilinear finite element for the second order problem under anisotropic meshes.By using some novel approaches and techniques,the optimal errorestimates and some superconvergence results are obtained without the regularity assumption and quasi-uniform assumption requirements on the meshes.Then,based on these results,we give an anisotropic posteriori error estimate for the second problem.