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A Mesh less Regularization Method for a Two-Dimensional Two-Phase Linear Inverse Stefan Problem
Linköping University, Department of Science and Technology, Communications and Transport Systems. Linköping University, The Institute of Technology.
University of Leeds, England .
University of Birmingham, England .
2014 (English)In: Advances in Applied Mathematics and Mechanics, ISSN 2070-0733, Vol. 5, no 6, 825-845 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, a meshless regularization method of fundamental solutions is proposed for a two-dimensional, two-phase linear inverse Stefan problem. The numerical implementation and analysis are challenging since one needs to handle composite materials in higher dimensions. Furthermore, the inverse Stefan problem is ill-posed since small errors in the input data cause large errors in the desired output solution. Therefore, regularization is necessary in order to obtain a stable solution. Numerical results for several benchmark test examples are presented and discussed.

Place, publisher, year, edition, pages
GLOBAL SCIENCE PRESS , 2014. Vol. 5, no 6, 825-845 p.
Keyword [en]
Heat conduction; method of fundamental solutions (MFS); inverse Stefan problem; two-phase change
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-106819DOI: 10.4208/aamm.2013.m77ISI: 000334927900004OAI: diva2:720216
Available from: 2014-05-28 Created: 2014-05-23 Last updated: 2014-11-19

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