# Numerical analysis of the neutron multigroup $SP_N$ equations

Abstract : The multigroup neutron $SP_N$ equations, which are an approximation of the neutron transport equation, are used to model nuclear reactor cores. In their steady state, these equations can be written as a source problem or an eigenvalue problem. We study the resolution of those two problems with an $H^1$-conforming finite element method and a Discontinuous Galerkin method, namely the Symmetric Interior Penalty Galerkin method.
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https://hal-cea.archives-ouvertes.fr/cea-02902626
Submitted on : Monday, July 20, 2020 - 10:27:51 AM
Last modification on : Wednesday, October 14, 2020 - 4:21:50 AM

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• HAL Id : cea-02902626, version 1

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Erell Jamelot, François Madiot. Numerical analysis of the neutron multigroup $SP_N$ equations. 2020. ⟨cea-02902626⟩

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