The Unfitted HHO Method for the Stokes Problem on Curved Domains

Erik Burman; Guillaume Delay; Alexandre Ern

doi:10.1007/978-3-030-55874-1_38

The Unfitted HHO Method for the Stokes Problem on Curved Domains

Erik Burman
, Guillaume Delay
, Alexandre Ern

University College London
Sorbonne Université
École des ponts
INRIA Institut National de Recherche en Informatique et en Automatique

Résultats de recherche: Le chapitre dans un livre, un rapport, une anthologie ou une collection › Contribution à une conférence › Revue par des pairs

Résumé

We design a hybrid high-order (HHO) method to approximate the Stokes problem on curved domains using unfitted meshes. We prove inf-sup stability and a priori estimates with optimal convergence rates. Moreover, we provide numerical simulations that corroborate the theoretical convergence rates. A cell-agglomeration procedure is used to prevent the appearance of small cut cells.

langue originale	Anglais
titre	Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference
rédacteurs en chef	Fred J. Vermolen, Cornelis Vuik
Editeur	Springer Science and Business Media Deutschland GmbH
Pages	389-397
Nombre de pages	9
ISBN (imprimé)	9783030558734
Les DOIs	https://doi.org/10.1007/978-3-030-55874-1_38
état	Publié - 1 janv. 2021
Evénement	European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2019 - Egmond aan Zee, Pays-Bas Durée: 30 sept. 2019 → 4 oct. 2019

Série de publications

Nom	Lecture Notes in Computational Science and Engineering
Volume	139
ISSN (imprimé)	1439-7358
ISSN (Electronique)	2197-7100

Une conférence

Une conférence	European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2019
Pays/Territoire	Pays-Bas
La ville	Egmond aan Zee
période	30/09/19 → 4/10/19

Accès au document

10.1007/978-3-030-55874-1_38

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Burman, E., Delay, G., & Ern, A. (2021). The Unfitted HHO Method for the Stokes Problem on Curved Domains. Dans F. J. Vermolen, & C. Vuik (eds.), Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference (p. 389-397). (Lecture Notes in Computational Science and Engineering; Vol 139). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-55874-1_38

Burman, Erik ; Delay, Guillaume ; Ern, Alexandre. / The Unfitted HHO Method for the Stokes Problem on Curved Domains. Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference. Editeur / Fred J. Vermolen ; Cornelis Vuik. Springer Science and Business Media Deutschland GmbH, 2021. p. 389-397 (Lecture Notes in Computational Science and Engineering).

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abstract = "We design a hybrid high-order (HHO) method to approximate the Stokes problem on curved domains using unfitted meshes. We prove inf-sup stability and a priori estimates with optimal convergence rates. Moreover, we provide numerical simulations that corroborate the theoretical convergence rates. A cell-agglomeration procedure is used to prevent the appearance of small cut cells.",

author = "Erik Burman and Guillaume Delay and Alexandre Ern",

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Burman, E, Delay, G & Ern, A 2021, The Unfitted HHO Method for the Stokes Problem on Curved Domains. Dans FJ Vermolen & C Vuik (eds), Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference. Lecture Notes in Computational Science and Engineering, VOL. 139, Springer Science and Business Media Deutschland GmbH, p. 389-397, European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2019, Egmond aan Zee, Pays-Bas, 30/09/19. https://doi.org/10.1007/978-3-030-55874-1_38

The Unfitted HHO Method for the Stokes Problem on Curved Domains. / Burman, Erik; Delay, Guillaume; Ern, Alexandre.
Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference. Ed. / Fred J. Vermolen; Cornelis Vuik. Springer Science and Business Media Deutschland GmbH, 2021. p. 389-397 (Lecture Notes in Computational Science and Engineering; Vol 139).

Résultats de recherche: Le chapitre dans un livre, un rapport, une anthologie ou une collection › Contribution à une conférence › Revue par des pairs

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N2 - We design a hybrid high-order (HHO) method to approximate the Stokes problem on curved domains using unfitted meshes. We prove inf-sup stability and a priori estimates with optimal convergence rates. Moreover, we provide numerical simulations that corroborate the theoretical convergence rates. A cell-agglomeration procedure is used to prevent the appearance of small cut cells.

AB - We design a hybrid high-order (HHO) method to approximate the Stokes problem on curved domains using unfitted meshes. We prove inf-sup stability and a priori estimates with optimal convergence rates. Moreover, we provide numerical simulations that corroborate the theoretical convergence rates. A cell-agglomeration procedure is used to prevent the appearance of small cut cells.

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BT - Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference

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Burman E, Delay G, Ern A. The Unfitted HHO Method for the Stokes Problem on Curved Domains. Dans Vermolen FJ, Vuik C, rédacteurs en chef, Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference. Springer Science and Business Media Deutschland GmbH. 2021. p. 389-397. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-030-55874-1_38

The Unfitted HHO Method for the Stokes Problem on Curved Domains

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