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The method of fundamental solutions for the two-dimensional inverse Stefan problem
Linköping University, Department of Science and Technology, Communications and Transport Systems. Linköping University, The Institute of Technology.ORCID iD: 0000-0001-9066-7922
University of Leeds, England .
University of Birmingham, England .
2014 (English)In: Inverse Problems in Science and Engineering, ISSN 1741-5977, E-ISSN 1741-5985, Vol. 22, no 1, 112-129 p.Article in journal (Refereed) Published
Abstract [en]

We propose an application of the method of fundamental solutions (MFS) for the two-dimensional inverse Stefan problem, where data are to be reconstructed from knowledge of the moving surface and the given Stefan conditions on this surface. We present numerical results for several examples both when the initial data are given but also when it is not specified. These results show good accuracy with low computational cost and are compared with results obtained by other methods.

Place, publisher, year, edition, pages
Taylor and Francis: STM, Behavioural Science and Public Health Titles , 2014. Vol. 22, no 1, 112-129 p.
Keyword [en]
heat conduction; method of fundamental solutions (MFS); inverse Stefan problem; Tikhonovs regularization; 35K05; 35A35; 65N35
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-103273DOI: 10.1080/17415977.2013.827180ISI: 000328245900009OAI: oai:DiVA.org:liu-103273DiVA: diva2:688516
Available from: 2014-01-17 Created: 2014-01-16 Last updated: 2017-12-06

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Johansson, Tomas

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