On the solution of inverse heat transfer problem using the Karhunen-Loève Galerkin method
type: Item
instance of: scholarly article
title: On the solution of inverse heat transfer problem using the Karhunen-Loève Galerkin method
zbMATH Open document ID: 0952.65069
DOI: 10.1016/S0017-9310(98)00136-7
author: Yanyan Li
published in: International Journal of Heat and Mass Transfer
publication date: 2001-01-15T00:00:00Z
review text: An inverse problem for determining the right-hand side (time-varying heat source) in a two-dimensional unsteady heat conduction problem with interior measurements is considered. As the problem is ill-posed, the authors use the conjugate gradient method with a stopping criterion based on the discrepancy principle to solve it in a stable way. The Karhunen-Loève Galerkin procedure is used to implement the method numerically.
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 80A23
zbMATH DE Number: 1436767
zbMATH Keywords: ill-posed problem
zbMATH Keywords: inverse problem
zbMATH Keywords: unsteady heat conduction problem
zbMATH Keywords: conjugate gradient method
zbMATH Keywords: discrepancy principle
zbMATH Keywords: Karhunen-Loève Galerkin procedure
reviewed by: Dinh Nho Hào
MaRDI profile type: Publication
full work available at URL: s0017-9310(98)00136-7
OpenAlex ID: W2048208065
description: scientific article; zbMATH DE number 1436767