A posteriori Error Analysis and Adaptive Processes in the Finite Element Method: Part I—Error Analysis
International Journal for Numerical Methods in Engineering, 19 (11):
1593--1619 (November 1983)DOI: 10.1002/nme.1620191103
Abstract
This is a paper presented in two parts dealing respectively with error analysis and adaptive processes applied to finite element calculations. Part I contains the basic theory and methods of deriving error estimates for second-order problems. Part II of the paper deals with the strategy for adaptive refinement and concentrates on the p-convergent methods. It is shown that an extremely high rate of convergence is reached in practical problems using such procedures. Applications to realistic stress analysis and potential problems are presented.