A finite difference method for free boundary problems
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...
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| Format: | Journal article |
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2009
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| _version_ | 1797087370659495936 |
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| author | Fornberg, B |
| author_facet | Fornberg, B |
| author_sort | Fornberg, B |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T02:34:45Z |
| format | Journal article |
| id | oxford-uuid:a86bdc72-a9d9-4dc1-aa53-3c7a82640b63 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:34:45Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:a86bdc72-a9d9-4dc1-aa53-3c7a82640b632022-03-27T03:01:22ZA finite difference method for free boundary problems Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a86bdc72-a9d9-4dc1-aa53-3c7a82640b63Mathematical Institute - ePrints2009Fornberg, BFornberg 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. |
| spellingShingle | Fornberg, B A finite difference method for free boundary problems |
| title | A finite difference method for free boundary problems
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| title_full | A finite difference method for free boundary problems
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| title_fullStr | A finite difference method for free boundary problems
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| title_full_unstemmed | A finite difference method for free boundary problems
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| title_short | A finite difference method for free boundary problems
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| title_sort | finite difference method for free boundary problems |
| work_keys_str_mv | AT fornbergb afinitedifferencemethodforfreeboundaryproblems AT fornbergb finitedifferencemethodforfreeboundaryproblems |