A finite difference method for free boundary problems

Bengt Fornberg

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


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. © 2009 Elsevier B.V. All rights reserved.
Original languageEnglish (US)
Pages (from-to)2831-2840
Number of pages10
JournalJournal of Computational and Applied Mathematics
Issue number11
StatePublished - Apr 2010
Externally publishedYes

Bibliographical 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.


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