The h, p and h-p versions of the finite element method in 1 dimension. III. The adaptive h-p version
type: Item
instance of: scholarly article
title: The h, p and h-p versions of the finite element method in 1 dimension. III. The adaptive h-p version
zbMATH Open document ID: 0614.65090
DOI: 10.1007/BF01389735
author: Yanyan Li
published in: Numerische Mathematik
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133133
review text: 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.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 3994958
zbMATH Keywords: convergence rate
zbMATH Keywords: finite element method
zbMATH Keywords: h-p version
zbMATH Keywords: energy norm
reviewed by: Calin Ioan Gheorghiu
MaRDI profile type: Publication
cites work: The h, p and h-p versions of the finite element method in 1 dimension. I. The error analysis of the p-version
cites work: The h, p and h-p versions of the finite element method in 1 dimension. II. The error analysis of the h- and h-p versions
cites work: Feedback and adaptive finite element solution of one-dimensional boundary value problems
cites work: Q3678607
cites work: Error estimates for the combined h and p versions of the finite element method
cites work: Can adaption help on the average?
OpenAlex ID: W1982050100
description: scientific article; zbMATH DE number 3994958