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Creator: Wassermann, W. Statement of Responsibility: von W. Wassermann
Publication: Berlin: Selbstverl., 1873
URN: urn:nbn:de:kobv:109-1-12033818
Path:
Cover

Journal of numerical mathematics

Periodical

Title:
Journal of numerical mathematics
Publication:
Berlin New York, NY: de Gruyter
Note:
Gesehen am 14.11.12
Scope:
Online-Ressource
ISSN:
1569-3953
ZDB-ID:
2095674-5 ZDB
VÖBB-Katalog:
15137074
Previous Title:
East west journal of numerical mathematics
Keywords:
Numerische Mathematik ; Zeitschrift
Classification:
Mathematik
Collection:
Mathematik
Copyright:
Rights reserved
Accessibility:
Eingeschränkter Zugang mit Nutzungsbeschränkungen
Title:
Journal of numerical mathematics
Publication:
Berlin New York, NY: de Gruyter
Note:
Gesehen am 14.11.12
Scope:
Online-Ressource
ISSN:
1569-3953
ZDB-ID:
2095674-5 ZDB
VÖBB-Katalog:
15137074
Previous Title:
East west journal of numerical mathematics
Keywords:
Numerische Mathematik ; Zeitschrift
Classification:
Mathematik
Collection:
Mathematik
Copyright:
Rights reserved
Accessibility:
Eingeschränkter Zugang mit Nutzungsbeschränkungen

Augmenting the grad-div stabilization for Taylor–Hood finite elements with a vorticity stabilization

Article

Author:
John, Volker
Merdon, Christian
Zainelabdeen, Marwa
Title:
Augmenting the grad-div stabilization for Taylor–Hood finite elements with a vorticity stabilization
Publication:
Berlin New York, NY: de Gruyter, 2025
Language:
English
Information:
Abstract: The least squares vorticity stabilization (LSVS), proposed in N. Ahmed, G. R. Barrenechea, E. Burman, J. Guzmán, A. Linke, and C. Merdon (“A pressure-robust discretization of Oseen’s equation using stabilization in the vorticity equation,” SIAM J. Numer. Anal., vol. 59, no. 5, pp. 2746–2774, 2021) for the Scott–Vogelius finite element discretization of the Oseen equations, is studied as an augmentation of the popular grad-div stabilized Taylor–Hood pair of spaces. An error analysis is presented which exploits the situation that the velocity spaces of Scott–Vogelius and Taylor–Hood are identical. Convection-robust error bounds are derived under the assumption that the Scott–Vogelius discretization is well posed on the considered grid. Numerical studies support the analytic results and they show that the LSVS-grad-div method might lead to notable error reductions compared with the standard grad-div method.
Scope:
Online-Ressource
Note:
Kein Open Access
Archivierung/Langzeitarchivierung gewährleistet
Keywords:
Oseen equations ; LSVS-grad-div stabilization ; Taylor–Hood pairs of finite element spaces ; error analysis ; convection robustness ; 65N30 ; 76M10
Classification:
Mathematik
Sonstiges
URN:
urn:nbn:de:101:1-2503010514504.681259394833
Collection:
Mathematik
Sonstiges
Copyright:
Rights reserved
Accessibility:
Eingeschränkter Zugang mit Nutzungsbeschränkungen
Author:
John, Volker
Merdon, Christian
Zainelabdeen, Marwa
Title:
Augmenting the grad-div stabilization for Taylor–Hood finite elements with a vorticity stabilization
Publication:
Berlin New York, NY: de Gruyter, 2025
Language:
English
Information:
Abstract: The least squares vorticity stabilization (LSVS), proposed in N. Ahmed, G. R. Barrenechea, E. Burman, J. Guzmán, A. Linke, and C. Merdon (“A pressure-robust discretization of Oseen’s equation using stabilization in the vorticity equation,” SIAM J. Numer. Anal., vol. 59, no. 5, pp. 2746–2774, 2021) for the Scott–Vogelius finite element discretization of the Oseen equations, is studied as an augmentation of the popular grad-div stabilized Taylor–Hood pair of spaces. An error analysis is presented which exploits the situation that the velocity spaces of Scott–Vogelius and Taylor–Hood are identical. Convection-robust error bounds are derived under the assumption that the Scott–Vogelius discretization is well posed on the considered grid. Numerical studies support the analytic results and they show that the LSVS-grad-div method might lead to notable error reductions compared with the standard grad-div method.
Scope:
Online-Ressource
Note:
Kein Open Access
Archivierung/Langzeitarchivierung gewährleistet
Keywords:
Oseen equations ; LSVS-grad-div stabilization ; Taylor–Hood pairs of finite element spaces ; error analysis ; convection robustness ; 65N30 ; 76M10
Classification:
Mathematik
Sonstiges
URN:
urn:nbn:de:101:1-2503010514504.681259394833
Collection:
Mathematik
Sonstiges
Copyright:
Rights reserved
Accessibility:
Eingeschränkter Zugang mit Nutzungsbeschränkungen
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