A new convergence proof for approximations of the Stefan problem
Numerical Analysis
2022-07-01 v2 Numerical Analysis
Abstract
We consider the Stefan problem, firstly with regular data and secondly with irregular data. In both cases is given a proof for the convergence of an approximation obtained by regularising the problem. These proofs are based on weak formulations and on compactness results in some Sobolev spaces with negative exponents.
Keywords
Cite
@article{arxiv.2206.06855,
title = {A new convergence proof for approximations of the Stefan problem},
author = {Robert Eymard and Thierry Gallouët},
journal= {arXiv preprint arXiv:2206.06855},
year = {2022}
}