The h, p and h-p versions of the finite element method in 1 dimension. III. The adaptive h-p version
In this final paper [for part I and II see ibid. 49,577-612 and 613-657 (1986; reviewed above)] the authors analyze the theoretical aspects of the adaptive h-p version of FEM and based on it they give concrete algorithms for the one-dimensional problem. They are concerned here only with the convergence and its rate in energy norm. Some numerical features and implementational aspects are presented too. The authors hope that the principles exposed in these three papers could be also successfully applied in the higher dimensional case. So in the final section they summarize the major properties of the three basic versions of the FEM.
scientific article; zbMATH DE number 3994958