A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations - CEA - Commissariat à l’énergie atomique et aux énergies alternatives 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.
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Dates and versions

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

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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⟩
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