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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2831-2840 |
| Number of pages | 10 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 233 |
| Issue number | 11 |
| DOIs | |
| State | Published - Apr 2010 |
| Externally published | Yes |
Bibliographical note
KAUST Repository Item: Exported on 2020-10-01Acknowledgements: 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.