Stability Of The Pnc1×(P0+P1) Element

Erell Jamelot; Patrick Ciarlet; Stefan Sauter

doi:10.1007/978-3-031-86173-4_50

Stability Of The P_nc¹×(P⁰+P¹) Element

Erell Jamelot
, Patrick Ciarlet
, Stefan Sauter

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We solve the Stokes problem numerically. We analyse the P_nc¹×(P⁰+P¹) mixed finite element method which exhibits interesting numerical features. However, only an incomplete proof of the inf-sup condition is available. We prove here this condition and the stability of the method.

Original language	English
Title of host publication	Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1 - European Conference
Editors	Adélia Sequeira, Ana Silvestre, Svilen S. Valtchev, João Janela
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	494-503
Number of pages	10
ISBN (Print)	9783031861727
DOIs	https://doi.org/10.1007/978-3-031-86173-4_50
Publication status	Published - 1 Jan 2025
Event	European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2023 - Lisbon, Portugal Duration: 4 Sept 2023 → 8 Sept 2023

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	153 LNCSE
ISSN (Print)	1439-7358
ISSN (Electronic)	2197-7100

Conference

Conference	European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2023
Country/Territory	Portugal
City	Lisbon
Period	4/09/23 → 8/09/23

Access to Document

10.1007/978-3-031-86173-4_50

Cite this

Jamelot, E., Ciarlet, P., & Sauter, S. (2025). Stability Of The P_nc¹×(P⁰+P¹) Element. In A. Sequeira, A. Silvestre, S. S. Valtchev, & J. Janela (Eds.), Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1 - European Conference (pp. 494-503). (Lecture Notes in Computational Science and Engineering; Vol. 153 LNCSE). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-86173-4_50

Jamelot, Erell ; Ciarlet, Patrick ; Sauter, Stefan. / Stability Of The P_nc¹×(P⁰+P¹) Element. Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1 - European Conference. editor / Adélia Sequeira ; Ana Silvestre ; Svilen S. Valtchev ; João Janela. Springer Science and Business Media Deutschland GmbH, 2025. pp. 494-503 (Lecture Notes in Computational Science and Engineering).

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abstract = "We solve the Stokes problem numerically. We analyse the Pnc1×(P0+P1) mixed finite element method which exhibits interesting numerical features. However, only an incomplete proof of the inf-sup condition is available. We prove here this condition and the stability of the method.",

author = "Erell Jamelot and Patrick Ciarlet and Stefan Sauter",

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Jamelot, E, Ciarlet, P & Sauter, S 2025, Stability Of The P_nc¹×(P⁰+P¹) Element. in A Sequeira, A Silvestre, SS Valtchev & J Janela (eds), Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1 - European Conference. Lecture Notes in Computational Science and Engineering, vol. 153 LNCSE, Springer Science and Business Media Deutschland GmbH, pp. 494-503, European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2023, Lisbon, Portugal, 4/09/23. https://doi.org/10.1007/978-3-031-86173-4_50

Stability Of The P_nc¹×(P⁰+P¹) Element. / Jamelot, Erell; Ciarlet, Patrick; Sauter, Stefan.
Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1 - European Conference. ed. / Adélia Sequeira; Ana Silvestre; Svilen S. Valtchev; João Janela. Springer Science and Business Media Deutschland GmbH, 2025. p. 494-503 (Lecture Notes in Computational Science and Engineering; Vol. 153 LNCSE).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Jamelot E, Ciarlet P, Sauter S. Stability Of The P_nc¹×(P⁰+P¹) Element. In Sequeira A, Silvestre A, Valtchev SS, Janela J, editors, Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1 - European Conference. Springer Science and Business Media Deutschland GmbH. 2025. p. 494-503. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-031-86173-4_50