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Journal Articles Comptes Rendus. Mathématique Year : 2021

## Numerical analysis of the neutron multigroup $SP_N$ equations

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Erell Jamelot

#### 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.

### Dates and versions

cea-02902626 , version 1 (20-07-2020)

### Identifiers

• HAL Id : cea-02902626 , version 1

### Cite

Erell Jamelot, François Madiot. Numerical analysis of the neutron multigroup $SP_N$ equations. Comptes Rendus. Mathématique, 2021, Comptes Rendus. Mathématique, 359 (5). ⟨cea-02902626⟩

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