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

Autor:	Thomas Reeve, Daniel Lesnic, B. Tomas Johansson
Rok vydání:	2013
Předmět:	Regularized meshless method Applied Mathematics Mechanical Engineering Mathematical analysis Stefan problem Method of fundamental solutions Inverse Thermal conduction Regularization (mathematics) Mathematics
Zdroj:	Advances in Applied Mathematics and Mechanics. 5:825-845
ISSN:	2075-1354 2070-0733
DOI:	10.4208/aamm.2013.m77
Popis:	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.
Databáze:	OpenAIRE
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