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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.