Solution of an inverse heat transfer problem by means of empirical reduction of modes
type: Item
instance of: scholarly article
title: Solution of an inverse heat transfer problem by means of empirical reduction of modes
zbMATH Open document ID: 0963.65101
DOI: 10.1007/PL00001505
author: Yanyan Li
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2001-07-03T00:00:00Z
review text: The authors discuss the application of the Karhunen-Loève Galerkin method to the problem of estimating wall heat flux for laminar flow inside a duct. The analysis is carried out for a particular problem with the Dirichlet boundary condition on the bottom wall and an unknown heat flux across the top of the boundary. There is a parabolic laminar flow across the duct. This is done using 61 basis functions and 241 grid points along the stream. They also solve the same problem by the minimization of a functional. The results of the various approximations are illustrated by a number of diagrams.
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 80A23
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 80M10
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 1437364
zbMATH Keywords: inverse heat transfer problem
zbMATH Keywords: reduction of modes
zbMATH Keywords: Karhunen-Loève Galerkin method
zbMATH Keywords: heat flux
zbMATH Keywords: laminar flow
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1437364