A Mesh less Regularization Method for a Two-Dimensional Two-Phase Linear Inverse Stefan Problem
2014 (English)In: Advances in Applied Mathematics and Mechanics, ISSN 2070-0733, Vol. 5, no 6, 825-845 p.Article in journal (Refereed) Published
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.
Heat conduction; method of fundamental solutions (MFS); inverse Stefan problem; two-phase change
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-106819DOI: 10.4208/aamm.2013.m77ISI: 000334927900004OAI: oai:DiVA.org:liu-106819DiVA: diva2:720216