A counterexample for the inf-sup stability of the RT0 − P1 ⊂ L2(Ω) × H10(Ω) finite element combination for the mixed Poisson equation

Fleurianne Bertrand; Daniele Boffi

doi:10.1002/pamm.201900426

A counterexample for the inf-sup stability of the RT0 − P1 ⊂ L2(Ω) × H10(Ω) finite element combination for the mixed Poisson equation

Fleurianne Bertrand^*, Daniele Boffi

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

This paper investigates the inf-sup stability of a dual mixed discretization of the Poisson problem using the lowest-order (Hdiv-conforming) Raviart–Thomas space combined with the space of standard linear (continuous) Lagrange elements.

Original language	English
Article number	e201900426
Journal	Proceedings in Applied Mathematics and Mechanics
Volume	19
Issue number	1
DOIs	https://doi.org/10.1002/pamm.201900426
Publication status	Published - 18 Nov 2019

Keywords

UT-Hybrid-D

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10.1002/pamm.201900426Licence: CC BY

Proc Appl Math Mech - 2019 - Bertrand - A counterexample for the inf‐sup stability of the RT0 P1 L2 H10 Final published version, 540 KBLicence: CC BY

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title = "A counterexample for the inf-sup stability of the RT0 − P1 ⊂ L2(Ω) × H10(Ω) finite element combination for the mixed Poisson equation",

abstract = "This paper investigates the inf-sup stability of a dual mixed discretization of the Poisson problem using the lowest-order (Hdiv-conforming) Raviart–Thomas space combined with the space of standard linear (continuous) Lagrange elements.",

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author = "Fleurianne Bertrand and Daniele Boffi",

note = "Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)",

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AU - Bertrand, Fleurianne

AU - Boffi, Daniele

N1 - Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)

PY - 2019/11/18

Y1 - 2019/11/18

N2 - This paper investigates the inf-sup stability of a dual mixed discretization of the Poisson problem using the lowest-order (Hdiv-conforming) Raviart–Thomas space combined with the space of standard linear (continuous) Lagrange elements.

AB - This paper investigates the inf-sup stability of a dual mixed discretization of the Poisson problem using the lowest-order (Hdiv-conforming) Raviart–Thomas space combined with the space of standard linear (continuous) Lagrange elements.

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U2 - 10.1002/pamm.201900426

DO - 10.1002/pamm.201900426

M3 - Article

SN - 1617-7061

VL - 19

JO - Proceedings in Applied Mathematics and Mechanics

JF - Proceedings in Applied Mathematics and Mechanics

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A counterexample for the inf-sup stability of the RT0 − P1 ⊂ L2(Ω) × H10(Ω) finite element combination for the mixed Poisson equation

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