Schräder, Daniela und Wendland, Holger (2012) An Extended Error Analysis for a Meshfree Discretization Method of Darcy's Problem. Siam Journal on Numerical Analysis, 50 (2), Seiten 838-857. SIAM - Society for Industrial and Applied Mathematics. doi: 10.1137/100806461. ISSN 0036-1429.
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Offizielle URL: http://www.siam.org/journals/ojsa.php
Kurzfassung
Recently [D. Schräder and H. Wendland, Math. Comp., 80 (2011), pp. 263–277], a new meshfree approximation method for Darcy’s problem has been introduced and analyzed. This method is based on a symmetric collocation approach using radial basis functions producing solutions with an analytically divergence-free velocity part. However, the error analysis provided in that paper works only for smooth solutions, where the smoothness is intrinsically linked to the smoothness of the employed basis function. In this paper, we will extend the error analysis to less smooth functions, showing that the approximation order for rougher solutions is determined by the smoothness of the solution rather than the smoothness of the basis function.
elib-URL des Eintrags: | https://elib.dlr.de/65045/ | ||||||||||||
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Dokumentart: | Zeitschriftenbeitrag | ||||||||||||
Titel: | An Extended Error Analysis for a Meshfree Discretization Method of Darcy's Problem | ||||||||||||
Autoren: |
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Datum: | 2012 | ||||||||||||
Erschienen in: | Siam Journal on Numerical Analysis | ||||||||||||
Referierte Publikation: | Ja | ||||||||||||
Open Access: | Nein | ||||||||||||
Gold Open Access: | Nein | ||||||||||||
In SCOPUS: | Ja | ||||||||||||
In ISI Web of Science: | Ja | ||||||||||||
Band: | 50 | ||||||||||||
DOI: | 10.1137/100806461 | ||||||||||||
Seitenbereich: | Seiten 838-857 | ||||||||||||
Verlag: | SIAM - Society for Industrial and Applied Mathematics | ||||||||||||
ISSN: | 0036-1429 | ||||||||||||
Status: | veröffentlicht | ||||||||||||
Stichwörter: | partial differential equations, radial basis functions, high-order method, collocation, error analysis | ||||||||||||
HGF - Forschungsbereich: | Luftfahrt, Raumfahrt und Verkehr | ||||||||||||
HGF - Programm: | Luftfahrt | ||||||||||||
HGF - Programmthema: | Starrflügler (alt) | ||||||||||||
DLR - Schwerpunkt: | Luftfahrt | ||||||||||||
DLR - Forschungsgebiet: | L AR - Starrflüglerforschung | ||||||||||||
DLR - Teilgebiet (Projekt, Vorhaben): | L - Systeme & Kabine (alt) | ||||||||||||
Standort: | Göttingen | ||||||||||||
Institute & Einrichtungen: | Institut für Aerodynamik und Strömungstechnik > Fluidsysteme | ||||||||||||
Hinterlegt von: | Schräder, Daniela | ||||||||||||
Hinterlegt am: | 26 Sep 2012 14:30 | ||||||||||||
Letzte Änderung: | 08 Nov 2023 08:05 |
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