Handle URI:
http://hdl.handle.net/10754/597268
Title:
A finite difference method for free boundary problems
Authors:
Fornberg, Bengt
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. © 2009 Elsevier B.V. All rights reserved.
Citation:
Fornberg B (2010) A finite difference method for free boundary problems. Journal of Computational and Applied Mathematics 233: 2831–2840. Available: http://dx.doi.org/10.1016/j.cam.2009.11.028.
Publisher:
Elsevier BV
Journal:
Journal of Computational and Applied Mathematics
Issue Date:
Apr-2010
DOI:
10.1016/j.cam.2009.11.028
Type:
Article
ISSN:
0377-0427
Sponsors:
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).
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Full metadata record

DC FieldValue Language
dc.contributor.authorFornberg, Bengten
dc.date.accessioned2016-02-25T12:29:26Zen
dc.date.available2016-02-25T12:29:26Zen
dc.date.issued2010-04en
dc.identifier.citationFornberg B (2010) A finite difference method for free boundary problems. Journal of Computational and Applied Mathematics 233: 2831–2840. Available: http://dx.doi.org/10.1016/j.cam.2009.11.028.en
dc.identifier.issn0377-0427en
dc.identifier.doi10.1016/j.cam.2009.11.028en
dc.identifier.urihttp://hdl.handle.net/10754/597268en
dc.description.abstractFornberg 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.en
dc.description.sponsorshipThe 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).en
dc.publisherElsevier BVen
dc.subjectFinite differencesen
dc.subjectFree boundaryen
dc.subjectMinimax optimizationen
dc.titleA finite difference method for free boundary problemsen
dc.typeArticleen
dc.identifier.journalJournal of Computational and Applied Mathematicsen
dc.contributor.institutionUniversity of Colorado at Boulder, Boulder, United Statesen
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