An asymptotically exact, pointwise, a posteriori error estimator for linear, elliptic, one-dimensional problems with possible singularities in the solution
This paper deals with the finite element solution of a variational problem which possesses certain superconvergence properties. It is possible to obtain a correction term providing an additional order of approximation of the solution. The correction can be used for error estimation locally or globally. Here a correction term is found with the convergence properties in the special case of one-dimensional linear elliptic problems. The author gives special attention to the effects of the appearance of singularities and zeros of derivatives in the exact solution. Some computational results are included.
scientific article; zbMATH DE number 739553