Small data oscillation implies the saturation assumption
type: Item
instance of: scholarly article
title: Small data oscillation implies the saturation assumption
zbMATH Open document ID: 0995.65109
author: Willy Dörfler
author: Ricardo H. Nochetto
published in: Numerische Mathematik
publication date: 2002-05-30T00:00:00Z
review text: The saturation assumption asserts that the best approximation error in \(H_0^1\) with piecewise quadratic finite elements is strictly smaller than that of piecewise linear finite elements. The main result in this paper states that the saturation assumption holds provided the data oscillation is controlled by the approximation error with linear finite elements. The technique used by the authors comes from a posteriori error analysis.
reviewed by: Oscar Lopez-Pouso
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 1747961
zbMATH Keywords: small data oscillation
zbMATH Keywords: saturation assumption
zbMATH Keywords: piecewise quadratic finite elements
zbMATH Keywords: a posteriori error analysis
MaRDI profile type: Publication
full work available at URL: s002110100321
OpenAlex ID: W2063899632
DOI: 10.1007/S002110100321
description: scientific article; zbMATH DE number 1747961