A counterexample for the inf‐sup stability of the  RT  0  −  P  1  ⊂  L  2 (Ω) ×  H  1  0 (Ω) finite element combination for the mixed Poisson equation | Zendy

Bertrand Fleurianne | Zendy; Boffi Daniele | Zendy

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A counterexample for the inf‐sup stability of the RT 0 − P 1 ⊂ L 2 (Ω) × H 1 0 (Ω) finite element combination for the mixed Poisson equation

Author(s) -

Bertrand Fleurianne,

Boffi Daniele

Publication year - 2019

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201900426

Subject(s) - counterexample , mathematics , poisson distribution , stability (learning theory) , discretization , space (punctuation) , finite element method , poisson's equation , order (exchange) , mathematical analysis , element (criminal law) , discrete mathematics , physics , thermodynamics , computer science , statistics , finance , machine learning , political science , law , economics , operating system

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

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