Toward a universal hp adaptive finite element strategy, part 2. a posteriori error estimation. Oden, J., Demkowicz, L, Rachowicz, W, & Westermann, T. *Computer Methods in Applied Mechanics and Engineering*, 77:113--180, 1989. doi abstract bibtex In this second paper of the series on h-p adaptive finite element methods, we present five different techniques for a posteriori error estimation of h-p methods for linear elliptic boundary value problems. The techniques are referred to as the residual estimation method, the duality method, the subdomain-residual method, a method based on interpolation theory, and a post-processing method. The present study examines the theory and behavior of such techniques applied specifically to h-p adaptive finite element methods. Several numerical examples illustrate the efficiency of the methods.

@article{ Oden1989,
abstract = {In this second paper of the series on h-p adaptive finite element methods, we present five different techniques for a posteriori error estimation of h-p methods for linear elliptic boundary value problems. The techniques are referred to as the residual estimation method, the duality method, the subdomain-residual method, a method based on interpolation theory, and a post-processing method. The present study examines the theory and behavior of such techniques applied specifically to h-p adaptive finite element methods. Several numerical examples illustrate the efficiency of the methods.},
author = {Oden, JT and Demkowicz, L and Rachowicz, W and Westermann, TA},
doi = {10.1016/0045-7825(89)90130-8},
isbn = {0045-7825},
issn = {0045-7825},
journal = {Computer Methods in Applied Mechanics and Engineering},
pages = {113--180},
title = {{Toward a universal hp adaptive finite element strategy, part 2. a posteriori error estimation}},
volume = {77},
year = {1989}
}

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