Domain Decomposition for the SPNSolver MINOS

DOI10.1080/00411450.2012.694827zbMath1273.82081OpenAlexW1993993208MaRDI QIDQ5299769

Anne-Marie Baudron, Jean-Jacques Lautard, Erell Jamelot

Publication date: 21 June 2013

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450.2012.694827

zbMATH Keywords

domain decompositionRobin interface conditionsSchwarz iterative algorithm\texttt{APOLLO3}\(^\circledR\) code\texttt{MINOS} solversimplified transport equations

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Nuclear reactor theory; neutron transport (82D75) Software, source code, etc. for problems pertaining to statistical mechanics (82-04)

Related Items

Schwarz type preconditioners for the neutron diffusion equation ⋮ Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation ⋮ A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations ⋮ Numerical analysis of the mixed finite element method for the neutron diffusion eigenproblem with heterogeneous coefficients ⋮ The Parareal in Time Algorithm Applied to the Kinetic Neutron Diffusion Equation

Uses Software

• MINOS
• APOLLO3

Cites Work

• Unnamed Item
• A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
• A two level domain decomposition preconditioner based on local Dirichlet-to-Neumann maps
• Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains