Nodal sensitivities as error estimates in computational mechanics
type: Item
instance of: scholarly article
title: Nodal sensitivities as error estimates in computational mechanics
zbMATH Open document ID: 0878.73078
DOI: 10.1007/BF01262532
author: F. Shi
author: Glaucio H. Paulino
author: S. Mukherjee
author: P. S. Ramesh
published in: Acta Mechanica
publication date: 1998-01-05T00:00:00Z
review text: We propose special sensitivities, called nodal sensitivities, as error indicators and estimators for numerical analysis in mechanics. Nodal sensitivities are defined as rates of change of response quantities with respect to nodal positions. Direct analytical differentiation is used to obtain the sensitivities, and the infinitesimal perturbations of the nodes are forced to lie along the elements. The performance of the error indicators for boundary element method is evaluated through two numerical examples in linear elasticity.
Mathematics Subject Classification ID: 74S99
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 1019281
zbMATH Keywords: infinitesimal perturbations of nodes
zbMATH Keywords: analytical differentiation
zbMATH Keywords: boundary element method
zbMATH Keywords: linear elasticity
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01262532
OpenAlex ID: W2147274813
description: scientific article; zbMATH DE number 1019281