An efficient numerical method for estimating the average free boundary velocity in an inhomogeneous Hele-Shaw problem
Numerical Analysis
2018-08-10 v1 Analysis of PDEs
Abstract
We develop a numerical method to estimate the average speed of the free boundary in a Hele-Shaw problem with periodic coefficients in both space and time. We test the accuracy of the method and present a few examples. We show numerical evidence of flat parts (facets) on the free boundary in the homogenization limit.
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Cite
@article{arxiv.1808.03044,
title = {An efficient numerical method for estimating the average free boundary velocity in an inhomogeneous Hele-Shaw problem},
author = {Irma Palupi and Norbert Pozar},
journal= {arXiv preprint arXiv:1808.03044},
year = {2018}
}
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18 pages