@inbook{b39ba539bb5d4695801cad0c8bcc0f31,
title = "Adaptive mesh refinement on Cartesian meshes applied to the mixed finite element discretization of the multigroup neutron diffusion equations",
abstract = "The multigroup neutron diffusion equations are often used to model the neutron density at the nuclear reactor core scale. Classically, these equations can be recast in a mixed variational form. This chapter presents an adaptive mesh refinement approach based on a posteriori estimators. We focus on refinement strategies on Cartesian meshes, since such structures are common for nuclear reactor core applications.",
keywords = "A posteriori error estimates, Diffusion equation, Mesh refinement, Mixed formulation, Neutronics",
author = "Patrick Ciarlet and Do, \{Minh Hieu\} and Fran{\c c}ois Madiot",
note = "Publisher Copyright: {\textcopyright} 2025 Academic Press Inc.. All rights reserved.",
year = "2025",
month = jan,
day = "1",
doi = "10.1016/bs.aams.2025.02.004",
language = "English",
series = "Advances in Applied Mechanics",
publisher = "Academic Press Inc.",
pages = "201--234",
booktitle = "Advances in Applied Mechanics",
}