TY - JOUR
T1 - A Meshless Regularization Method for a Two-Dimensional Two-Phase Linear Inverse Stefan Problem
AU - Johansson , B. Tomas
AU - Lesnic , Daniel
AU - Reeve , Thomas
JO - Advances in Applied Mathematics and Mechanics
VL - 6
SP - 825
EP - 845
PY - 2013
DA - 2013/05
SN - 5
DO - http://doi.org/10.4208/aamm.2013.m77
UR - https://global-sci.org/intro/article_detail/aamm/98.html
KW - Heat conduction, method of fundamental solutions (MFS), inverse Stefan problem, two-phase change.
AB - <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>