@Article{AAMM-5-825, author = {Johansson , B. TomasLesnic , Daniel and Reeve , Thomas}, 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 = {

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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2013.m77}, url = {http://global-sci.org/intro/article_detail/aamm/98.html} }