@Article{AAMM-5-6,
author = {Tomas, Johansson, B. and Lesnic, Daniel and Thomas, Reeve},
title = {A Meshless Regularization Method for a Two-Dimensional Two-Phase Linear Inverse Stefan Problem},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2013},
volume = {5},
number = {6},
pages = {825--845},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2013.m77},
url = {https://global-sci.com/article/73521/a-meshless-regularization-method-for-a-two-dimensional-two-phase-linear-inverse-stefan-problem}
}