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A Meshless Regularization Method for a Two-Dimensional Two-Phase Linear Inverse Stefan Problem

A Meshless Regularization Method for a Two-Dimensional Two-Phase Linear Inverse Stefan Problem
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Year:    2013

Author:    B. Tomas Johansson, Daniel Lesnic, Thomas Reeve

Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 6 : pp. 825–845

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2013.m77

Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 6 : pp. 825–845

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:    Heat conduction method of fundamental solutions (MFS) inverse Stefan problem two-phase change.

Author Details

B. Tomas Johansson

Daniel Lesnic

Thomas Reeve

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