Numerical solution of continuation problem for 3D steady-state diffusion in cylindrically layered medium
type: Item
instance of: scholarly article
title: Numerical solution of continuation problem for 3D steady-state diffusion in cylindrically layered medium
zbMATH Open document ID: 1433.65263
DOI: 10.1155/2015/329052
author: Magira Kulbay
author: Saule Maussumbekova
author: Balgaisha Mukanova
published in: Abstract and Applied Analysis
publication date: 2018-08-29T00:00:00Z
review text: Summary: This work is based on the application of Fourier and quasi-solution methods for solving the continuation inverse problem for 3D steady-state diffusion model inside a cylindrical layered medium. The diffusion coefficient is supposed to be a piecewise constant function, Cauchy data are given on the outer boundary of the cylinder, and we seek to recover the temperature at the inner boundary of the cylinder. Numerical experiments are investigated and show the capacity of proposed method only for smooth boundary condition. Under the suitable choice of regularization parameters we recover the distribution of temperature on the inner boundary with satisfactory quality for noisy data.
Mathematics Subject Classification ID: 65N21
zbMATH DE Number: 6929096
Wikidata QID: Q59101589
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/329052
OpenAlex ID: W2141495041
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description: scientific article; zbMATH DE number 6929096