Convergent Adaptive Wavelet Methods for the Stokes Problem

Stephan Dahlke; Reinhard Hochmuth; Karsten Urban

doi:10.1007/978-3-642-58312-4_8

Convergent Adaptive Wavelet Methods for the Stokes Problem

Stephan Dahlke
, Reinhard Hochmuth
, Karsten Urban

Publikation: Beiträge in Sammelwerken › Aufsätze in Konferenzbänden › Forschung › Begutachtung

Abstract

We consider wavelet discretizations for the Stokes problem in the mixed and divergence free variational formulation. For both cases, we present convergent adaptive multiscale strategies. Moreover, for adaptive wavelet discretizations of the mixed formulation we provide an easy to implement criterion for enforcing stability.

Originalsprache	Englisch
Titel	Multigrid Methods VI : Proceedings of the Sixth European Multigrid Conference Held in Gent, Belgium, September 27-30, 1999
Redakteure/-innen	Eric Dick, K. Riemslagh, J. Vierendeels
Seitenumfang	7
Erscheinungsort	Berlin
Herausgeber (Verlag)	Springer Verlag
Erscheinungsdatum	01.01.2000
Auflage	1
Seiten	66-72
ISBN (Print)	3-540-67157-9, 978-3540-67157-2
ISBN (elektronisch)	978-3-642-58312-4
DOIs	https://doi.org/10.1007/978-3-642-58312-4_8
Publikationsstatus	Erschienen - 01.01.2000
Extern publiziert	Ja
Veranstaltung	European Multigrid Conference 1999 - Gent, Belgien Dauer: 27.09.1999 → 30.09.1999 Konferenznummer: 6

Fachgebiete und Schlagwörter

Mathematik

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10.1007/978-3-642-58312-4_8

European Multigrid Conference 1999
Hochmuth, R. K. (Sprecher*in)
27.09.1999 → 30.09.1999
Aktivität: Wissenschaftliche und künstlerische Veranstaltungen › Konferenzen › Forschung

Dieses zitieren

Dahlke, S., Hochmuth, R., & Urban, K. (2000). Convergent Adaptive Wavelet Methods for the Stokes Problem. in E. Dick, K. Riemslagh, & J. Vierendeels (Hrsg.), Multigrid Methods VI: Proceedings of the Sixth European Multigrid Conference Held in Gent, Belgium, September 27-30, 1999 (1 Aufl., S. 66-72). (Lecture Notes in Computational Science and Engineering; Band 14). Springer Verlag. https://doi.org/10.1007/978-3-642-58312-4_8

Dahlke, Stephan ; Hochmuth, Reinhard ; Urban, Karsten. / Convergent Adaptive Wavelet Methods for the Stokes Problem. Multigrid Methods VI: Proceedings of the Sixth European Multigrid Conference Held in Gent, Belgium, September 27-30, 1999. Hrsg. / Eric Dick ; K. Riemslagh ; J. Vierendeels. 1. Aufl. Berlin : Springer Verlag, 2000. S. 66-72 (Lecture Notes in Computational Science and Engineering).

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abstract = "We consider wavelet discretizations for the Stokes problem in the mixed and divergence free variational formulation. For both cases, we present convergent adaptive multiscale strategies. Moreover, for adaptive wavelet discretizations of the mixed formulation we provide an easy to implement criterion for enforcing stability.",

keywords = "Mathematics, Mixed Formulation, Stokes Problem, Multiscale Method, Saddle Point Problem, Adaptive Wavelet",

author = "Stephan Dahlke and Reinhard Hochmuth and Karsten Urban",

note = "The work of the first two authors has been supported by Deutsche Forschungs-gemeinschaft (DFG) under Grants Da 117/13–1 and Ho 1846/1–1, respectively. Moreover, this work was supported by the European Commission within the TMR project (Training and Mobility for Researchers) Wavelets and Multiscale Methods in Numerical Analysis and Simulation, No. ERB FMRX CT98 018T4. This paper was written when the third author was in residence at the Istituto di Analisi Numerica del C.N.R. in Pavia, Italy.; European Multigrid Conference 1999 ; Conference date: 27-09-1999 Through 30-09-1999",

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Dahlke, S, Hochmuth, R & Urban, K 2000, Convergent Adaptive Wavelet Methods for the Stokes Problem. in E Dick, K Riemslagh & J Vierendeels (Hrsg.), Multigrid Methods VI: Proceedings of the Sixth European Multigrid Conference Held in Gent, Belgium, September 27-30, 1999. 1 Aufl., Lecture Notes in Computational Science and Engineering, Bd. 14, Springer Verlag, Berlin, S. 66-72, European Multigrid Conference 1999 , Gent, Belgien, 27.09.99. https://doi.org/10.1007/978-3-642-58312-4_8

Convergent Adaptive Wavelet Methods for the Stokes Problem. / Dahlke, Stephan; Hochmuth, Reinhard; Urban, Karsten.
Multigrid Methods VI: Proceedings of the Sixth European Multigrid Conference Held in Gent, Belgium, September 27-30, 1999. Hrsg. / Eric Dick; K. Riemslagh; J. Vierendeels. 1. Aufl. Berlin: Springer Verlag, 2000. S. 66-72 (Lecture Notes in Computational Science and Engineering; Band 14).

Publikation: Beiträge in Sammelwerken › Aufsätze in Konferenzbänden › Forschung › Begutachtung

TY - CHAP

T1 - Convergent Adaptive Wavelet Methods for the Stokes Problem

AU - Dahlke, Stephan

AU - Hochmuth, Reinhard

AU - Urban, Karsten

N1 - Conference code: 6

PY - 2000/1/1

Y1 - 2000/1/1

N2 - We consider wavelet discretizations for the Stokes problem in the mixed and divergence free variational formulation. For both cases, we present convergent adaptive multiscale strategies. Moreover, for adaptive wavelet discretizations of the mixed formulation we provide an easy to implement criterion for enforcing stability.

AB - We consider wavelet discretizations for the Stokes problem in the mixed and divergence free variational formulation. For both cases, we present convergent adaptive multiscale strategies. Moreover, for adaptive wavelet discretizations of the mixed formulation we provide an easy to implement criterion for enforcing stability.

KW - Mathematics

KW - Mixed Formulation

KW - Stokes Problem

KW - Multiscale Method

KW - Saddle Point Problem

KW - Adaptive Wavelet

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T3 - Lecture Notes in Computational Science and Engineering

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BT - Multigrid Methods VI

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A2 - Riemslagh, K.

A2 - Vierendeels, J.

PB - Springer Verlag

CY - Berlin

T2 - European Multigrid Conference 1999

Y2 - 27 September 1999 through 30 September 1999

ER -

Dahlke S, Hochmuth R, Urban K. Convergent Adaptive Wavelet Methods for the Stokes Problem. in Dick E, Riemslagh K, Vierendeels J, Hrsg., Multigrid Methods VI: Proceedings of the Sixth European Multigrid Conference Held in Gent, Belgium, September 27-30, 1999. 1 Aufl. Berlin: Springer Verlag. 2000. S. 66-72. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-642-58312-4_8

Convergent Adaptive Wavelet Methods for the Stokes Problem

Abstract

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