SELF-ADAPTIVE TREATMENT FOR FEM SINGULAR BOUNDARY VALUE PROBLEMS
有限元奇性问题的自适应处理

Owing to the existence of singular points, the convergence rates of the appro-ximate solutions near singular points become apparently slow for FEM singular bo-undary value problems. In this paper, we provide and analyze an effective a-po-steriori estimator of the error in the FEM. These bounds are given explicitly fora certain concrete estimator for linear triangular elements and regular meshes. Anumerical example shows that the estimator of the error is very reasonable andconcise.