@article{2ce05b5894d94143bdb68015cc0f0123,
title = "A finite difference method for free boundary problems",
abstract = "Fornberg and Meyer-Spasche proposed some time ago a simple strategy to correct finite difference schemes in the presence of a free boundary that cuts across a Cartesian grid. We show here how this procedure can be combined with a minimax-based optimization procedure to rapidly solve a wide range of elliptic-type free boundary value problems. {\textcopyright} 2009 Elsevier B.V. All rights reserved.",
author = "Bengt Fornberg",
note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: The present work was supported by the NSF Grants DMS-0611681, DMS-0914647 and ATM-0620068. A significant part of the present work was carried out while the author was a Vising Fellow at OCCAM (Oxford Centre for Collaborative Applied Mathematics) under support provided by Award No. KUK-C1-013-04 to the University of Oxford, UK, by King Abdullah University of Science and Technology (KAUST). This publication acknowledges KAUST support, but has no KAUST affiliated authors.",
year = "2010",
month = apr,
doi = "10.1016/j.cam.2009.11.028",
language = "English (US)",
volume = "233",
pages = "2831--2840",
journal = "Journal of Computational and Applied Mathematics",
issn = "0377-0427",
publisher = "Elsevier B.V.",
number = "11",
}