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DC Element | Wert | Sprache |
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dc.contributor.author | Schweizer, Ben | - |
dc.date.accessioned | 2008-03-03T13:50:51Z | - |
dc.date.available | 2008-03-03T13:50:51Z | - |
dc.date.issued | 2002 | - |
dc.identifier.citation | A Stable Time Discretization of the Stefan Problem with Surface Tension, Ben Schweizer, SIAM J. Numer. Anal. 40, 1184 (2002), DOI:10.1137/S003614290037232X | en |
dc.identifier.issn | 1095-7170 | - |
dc.identifier.uri | http://hdl.handle.net/2003/25098 | - |
dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-15788 | - |
dc.description.abstract | We present a time discretization for the single phase Stefan problem with Gibbs--Thomson law. The method resembles an operator splitting scheme with an evolution step for the temperature distribution and a transport step for the dynamics of the free boundary. The evolution step involves only the solution of a linear equation that is posed on the old domain. We prove that the proposed scheme is stable in function spaces of high regularity. In the limit $\Delta t\to 0$ we find strong solutions of the continuous problem. This proves consistency of the scheme, and additionally it yields a new short-time existence result for the continuous problem. | en |
dc.language.iso | en | de |
dc.publisher | Society for Industrial and Applied Mathematics | en |
dc.rights | ©2002 Society for Industrial and Applied Mathematics | en |
dc.subject | free boundary problem | en |
dc.subject | time discretization | en |
dc.subject | operator splitting | en |
dc.subject.ddc | 510 | - |
dc.title | A Stable Time Discretization of the Stefan Problem with Surface Tension | en |
dc.type | Text | de |
dc.identifier.doi | 10.1137/S003614290037232X | - |
dc.type.publicationtype | article | en |
dc.identifier.url | http://link.aip.org/link/?SNA/40/1184/1 | - |
dcterms.accessRights | open access | - |
Enthalten in den Sammlungen: | Schweizer, Ben Prof. Dr. |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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StableTimeDiscretization.pdf | 232.4 kB | Adobe PDF | Öffnen/Anzeigen |
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