Pin-wise homogenization for \(\mathrm{SP}_N\) neutron transport approximation using the finite element method

DOI10.1016/j.cam.2017.06.023zbMath1378.82059OpenAlexW2726290252WikidataQ57758089 ScholiaQ57758089MaRDI QIDQ1676012

A. Vidal-Ferràndiz, S. González-Pintor, C. Demazière, Gumersindo Verdú, Damián Ginestar

Publication date: 3 November 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.06.023

zbMATH Keywords

finite element methodhomogenizationdiscontinuous Galerkin\(\mathrm{SP}_N\) equations

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Nuclear reactor theory; neutron transport (82D75) Boltzmann equations (35Q20)

Related Items

Mathematical modeling and computational methods ⋮ Multiscale model reduction for neutron diffusion equation

Cites Work

• Unnamed Item
• Iterative performance of various formulations of the \(SP_N\) equations
• Discontinuous diffusion synthetic acceleration for \(S_n\) transport on 2D arbitrary polygonal meshes
• Efficient solution of the simplified \(P_N\) equations
• Homogenization of a spectral problem in neutronic multigroup diffusion.
• Stabilization mechanisms in discontinuous Galerkin finite element methods
• Positive $P_N$ Closures
• Application ofh-,p-, andhp-Mesh Adaptation Techniques to theSP₃Equations
• Homogenization of the criticality spectral equation in neutron transport
• On SN-PN Equivalence