A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles ESAIM: Mathematical Modelling and Numerical Analysis Year : 2023

A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations

Abstract

We analyse a posteriori error estimates for the discretization of the neutron diffusion equations with mixed finite elements. We provide guaranteed and locally efficient estimators on a base block equation, the one-group neutron diffusion equation. We pay particular attention to AMR strategies on Cartesian meshes, since such structures are common for nuclear reactor core applications. We exhibit a robust marker strategy for this specific constraint, the direction marker strategy.
Fichier principal
Vignette du fichier
m2an210121.pdf (4.26 Mo) Télécharger le fichier
Origin : Publisher files allowed on an open archive

Dates and versions

hal-03936904 , version 1 (08-07-2020)
hal-03936904 , version 2 (12-01-2023)

Licence

Attribution

Identifiers

Cite

Patrick Ciarlet, Minh Hieu Do, François Madiot. A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations. ESAIM: Mathematical Modelling and Numerical Analysis, 2023, 57 (1), pp.1-27. ⟨10.1051/m2an/2022078⟩. ⟨hal-03936904v2⟩
303 View
237 Download

Altmetric

Share

Gmail Facebook X LinkedIn More