Control of the temperature state in layered bodies of revolution
type: Item
instance of: scholarly article
title: Control of the temperature state in layered bodies of revolution
zbMATH Open document ID: 0947.74037
DOI: 10.1007/BF02667195
author: V. S. Deineka
author: V. V. Skopetsky
published in: Cybernetics and Systems Analysis
publication date: 1999-04-28T00:00:00Z
review text: The title control problem can be interpreted as determination of the heat flux from a thin inclusion in a two-layered body of revolution, which maintains a prescribed temperature of the outer boundary of the inner body. The authors prove the existence of classical solution to the continuous control problem, and construct finite element approximations for which they give error estimates.
Mathematics Subject Classification ID: 74M05
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 74F05
zbMATH DE Number: 1262960
zbMATH Keywords: heat flux
zbMATH Keywords: thin inclusion
zbMATH Keywords: two-layered body of revolution
zbMATH Keywords: existence of classical solution
zbMATH Keywords: finite element approximations
zbMATH Keywords: error estimates
MaRDI profile type: Publication
cites work: Solvability in the small of nonstationary problems for incompressible ideal and viscous fluids and the case of vanishing viscosity
cites work: Q5599957
description: scientific article; zbMATH DE number 1262960