Volume 5, Issue 6
A Meshless Regularization Method for a Two-Dimensional Two-Phase Linear Inverse Stefan Problem

B. Tomas Johansson ,  Daniel Lesnic and Thomas Reeve

10.4208/aamm.2013.m77

Adv. Appl. Math. Mech., 5 (2013), pp. 825-845.

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  • 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.

  • History

Published online: 2013-05

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