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.
%0 Journal Article
%1 Kelly1983Posteriori
%A Kelly, D. W.
%A S, De\
%A Zienkiewicz, O. C.
%A Babuska, I.
%D 1983
%I John Wiley & Sons, Ltd
%J International Journal for Numerical Methods in Engineering
%K 65n15-pdes-bvps-error-bounds 65n30-pdes-bvps-finite-elements
%N 11
%P 1593--1619
%R 10.1002/nme.1620191103
%T A posteriori Error Analysis and Adaptive Processes in the Finite Element Method: Part I—Error Analysis
%U http://dx.doi.org/10.1002/nme.1620191103
%V 19
%X 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.
@article{Kelly1983Posteriori,
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.}},
added-at = {2019-03-01T00:11:50.000+0100},
author = {Kelly, D. W. and {}S, De\ and Zienkiewicz, O. C. and Babu\v{s}ka, I.},
biburl = {https://www.bibsonomy.org/bibtex/214ba7c7aa690a545894e6ed0d8ad9589/gdmcbain},
citeulike-article-id = {9429000},
citeulike-linkout-0 = {http://dx.doi.org/10.1002/nme.1620191103},
doi = {10.1002/nme.1620191103},
interhash = {20ee2bbff9fa9bbb7dba3d72488b73ca},
intrahash = {14ba7c7aa690a545894e6ed0d8ad9589},
issn = {0029-5981},
journal = {International Journal for Numerical Methods in Engineering},
keywords = {65n15-pdes-bvps-error-bounds 65n30-pdes-bvps-finite-elements},
month = nov,
number = 11,
pages = {1593--1619},
posted-at = {2016-03-12 14:46:04},
priority = {2},
publisher = {John Wiley \& Sons, Ltd},
timestamp = {2019-03-01T00:11:50.000+0100},
title = {A posteriori Error Analysis and Adaptive Processes in the Finite Element Method: {P}art I—Error Analysis},
url = {http://dx.doi.org/10.1002/nme.1620191103},
volume = 19,
year = 1983
}