A flexible nonlinear diffusion acceleration method for the \(S_N\) transport equations discretized with discontinuous finite elements

DOI10.1016/j.jcp.2017.01.070zbMath1415.65263OpenAlexW2590799653MaRDI QIDQ2424465

Mark DeHart, Ya-qi Wang, Richard C. Martineau, Congjian Wang, Frederick Gleicher, Javier Ortensi, Benjamin Baker, Sebastian Schunert, Vincent M. Laboure

Publication date: 24 June 2019

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.01.070

zbMATH Keywords

neutron transport equationdiscontinuous finite element methodnonlinear diffusion acceleration

Mathematics Subject Classification ID

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

Related Items (3)

A quasi-transport integral variational nodal method for homogeneous nodes based on the 2D/1D method ⋮ A Highly Parallel Multilevel Newton--Krylov--Schwarz Method with Subspace-Based Coarsening and Partition-Based Balancing for the Multigroup Neutron Transport Equation on Three-Dimensional Unstructured Meshes ⋮ Meshless local Petrov-Galerkin solution of the neutron transport equation with streamline-upwind Petrov-Galerkin stabilization

Uses Software

• BoomerAMG
• Mathematica
• MOOSE

Cites Work

• A comparison of acceleration methods for solving the neutron transport \(k\) -eigenvalue problem
• \textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner

This page was built for publication: A flexible nonlinear diffusion acceleration method for the \(S_N\) transport equations discretized with discontinuous finite elements