Sequential solution of a three-dimensional inverse radiation problem.
type: Item
instance of: scholarly article
title: Sequential solution of a three-dimensional inverse radiation problem.
zbMATH Open document ID: 1044.80005
DOI: 10.1016/S0045-7825(03)00370-0
author: D. Massart
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2004-01-23T00:00:00Z
review text: In this paper an inverse radiation problem is investigated, where the unknown strength of a time-varying heat source is estimated sequentially employing an extended Kalman filter from temperature measurements in the three-dimensional participating media. The radiative transfer equation and the heat conduction equation are employed to model the heat transfer in three-dimensional participating media. The authors approach solves the multidimensional inverse radiation problem accurately even with corrected measurements.
Mathematics Subject Classification ID: 80A23
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 78A40
zbMATH DE Number: 2031317
zbMATH Keywords: inverse radiation problem
zbMATH Keywords: Kalman filter
zbMATH Keywords: participating media
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: The Integral Form of the Equation of Radiative Transfer for an Inhomogeneous, Anisotropically Scattering, Solid Sphere
cites work: Q3771806
cites work: A general optimization method using adjoint equation for solving multidimensional inverse heat conduction
cites work: Solution of the inverse radiation problem using a conjugate gradient method
cites work: Stochastic processes and filtering theory
cites work: An efficient method of solving the Navier-Stokes equations for flow control
cites work: Q4131338
cites work: Feedback control of natural convection
cites work: Q4862310
full work available at URL: s0045-7825(03)00370-0
OpenAlex ID: W1979929545
description: scientific article; zbMATH DE number 2031317