Estimation of elastic parameters in beams and certain plates: \(H^ 1\)- regularization
type: Item
instance of: scholarly article
title: Estimation of elastic parameters in beams and certain plates: \(H^ 1\)- regularization
zbMATH Open document ID: 0632.73080
DOI: 10.1007/BF00940010
published in: Journal of Optimization Theory and Applications
publication date: 1989-01-01T00:00:00Z
review text: The estimation of elastic parameters in beams and certain types of plates is discussed using an \(H^ 1\)-regularization technique that easily accomodates pointwise constraints. The optimal coefficient is shown to enjoy more regularity than that assumed in the formulation of the problem. This additional smoothness is useful for analyzing the limit behavior of finite-dimensional problems. Numerical results are presented.
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 4029058
zbMATH Keywords: H(sup 1)-regularization
zbMATH Keywords: regularity of optimal estimators
zbMATH Keywords: approximation of optimal estimators
zbMATH Keywords: pointwise constraints
zbMATH Keywords: additional smoothness
zbMATH Keywords: limit behavior
zbMATH Keywords: finite-dimensional problems
author: Luther White
MaRDI profile type: Publication
cites work: Identification of Parameters in Distributed Parameter Systems by Regularization
cites work: Stability for parameter estimation in two point boundary value problems.
cites work: Q4189539
cites work: Q4100478
cites work: Regularity properties in parameter estimation of diffusion coefficients in one dimensional elliptic boundary value problems
cites work: Q4162607
cites work: Q3895980
cites work: Q5566063
cites work: Q3470840
cites work: Q5518037
full work available at URL: https://doi.org/10.1007/bf00940010
OpenAlex ID: W1992438880
description: scientific article; zbMATH DE number 4029058