State estimation of the Stefan PDE: A tutorial on design and applications to polar ice and batteries

S Koga, M Krstic - Annual Reviews in Control, 2022 - Elsevier
The Stefan PDE system is a representative model for thermal phase change phenomena,
such as melting and solidification, arising in numerous science and engineering processes …

Numerical solution of phase-change problems

C Bonacina, G Comini, A Fasano… - International Journal of …, 1973 - Elsevier
A three-time level implicit scheme, which is unconditionally stable and convergent, is
employed for the numerical solution of phase-change problems, on the basis of an analytical …

[图书][B] The stefan problem

AM Meĭrmanov - 1992 - books.google.com
Page 1 DE GRUYTER Anvarbek M. Meirmanov EXPOSITIONS IN MATHEMATICS 3 The Stefan
Problem W DE G Page 2 • Page 3 Page 4 Page 5 de Gruyter Expositions in Mathematics 3 …

Control of the Stefan system and applications: A tutorial

S Koga, M Krstic - Annual Review of Control, Robotics, and …, 2022 - annualreviews.org
The so-called Stefan system describes the dynamical model of the liquid–solid phase
change in materials ranging from water and ice in the polar caps to metal casting and …

Single-boundary control of the two-phase Stefan system

S Koga, M Krstic - Systems & Control Letters, 2020 - Elsevier
This paper presents the control design of the two-phase Stefan problem. The two-phase
Stefan problem is a representative model of liquid–solid phase transition by describing the …

Controllability of the Stefan problem by the flatness approach

B Colle, J Lohéac, T Takahashi - Systems & Control Letters, 2023 - Elsevier
We show the boundary controllability to stationary states of the Stefan problem with two
phases and in one dimension in the space variable. In the case of an initial condition that is …

Online recalibration of the state estimators for a system with moving boundaries using sparse discrete-in-time temperature measurements

B Petrus, Z Chen, J Bentsman… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
In this paper, the problem of estimation is considered for a class of processes involving
solidifying materials. These processes have natural nonlinear infinite-dimensional …

The method of fundamental solutions for free surface Stefan problems

S Chantasiriwan, BT Johansson, D Lesnic - Engineering Analysis with …, 2009 - Elsevier
In this paper, free surface problems of Stefan-type for the parabolic heat equation are
investigated using the method of fundamental solutions. The additional measurement …

[PDF][PDF] General free-boundary problems for the heat equation, III

A Fasano, M Primicerio - Journal of Mathematical Analysis and …, 1977 - core.ac.uk
General Free-Boundary Problems for the Heat Equation, Ill* (1.4 t), t), Page 1 JOURNAL OF
MATHEMATICAL ANALYSIS AND APPLICATIONS 59, 1-14 (1977) General Free-Boundary …

[HTML][HTML] A meshless method for an inverse two-phase one-dimensional nonlinear Stefan problem

BT Johansson, D Lesnic, T Reeve - Mathematics and Computers in …, 2014 - Elsevier
We extend a meshless method of fundamental solutions recently proposed by the authors
for the one-dimensional two-phase inverse linear Stefan problem, to the nonlinear case. In …