Numerical analysis of the neutron multigroup \(SP_N\) equations

DOI10.5802/crmath.189zbMath1478.65086OpenAlexW3178566926MaRDI QIDQ2040925

François Madiot, Erell Jamelot

Publication date: 15 July 2021

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/crmath.189

zbMATH Keywords

eigenvalue problemconforming finite element methodneutron transport equationsource problemdiscontinuous penalty Galerkin methodneutron multigroup equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) A priori estimates in context of PDEs (35B45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Nuclear reactor theory; neutron transport (82D75) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) PDEs in connection with statistical mechanics (35Q82) Finite element, Galerkin and related methods applied to problems in statistical mechanics (82M10) Transport equations (35Q49)

Cites Work

• Mathematical aspects of discontinuous Galerkin methods.
• Spectral approximation of variationally-posed eigenvalue problems by nonconforming methods
• Functional analysis, Sobolev spaces and partial differential equations
• Domain decomposition methods for the diffusion equation with low-regularity solution
• Theory and practice of finite elements.
• Spectral Approximation for Compact Operators
• General interface problems—II
• Numerical analysis of the mixed finite element method for the neutron diffusion eigenproblem with heterogeneous coefficients
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