Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation

DOI10.1016/j.jcp.2013.01.026zbMath1349.65428OpenAlexW2102762041MaRDI QIDQ346385

Erell Jamelot, Patrick~jun. Ciarlet

Publication date: 5 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.01.026

zbMATH Keywords

domain decomposition methodsSchwarz iterative methodfast solversmixed neutron diffusion equationsnuclear core reactorRaviart-Thomas-Nédélec finite elementsRobin interface conditions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items

Schwarz type preconditioners for the neutron diffusion equation ⋮ Parallelization methods for solving three-temperature radiation-hydrodynamic problems ⋮ Domain decomposition methods for the diffusion equation with low-regularity solution ⋮ A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations ⋮ Data-driven reduced order modeling for parametric PDE eigenvalue problems using Gaussian process regression ⋮ Variational methods for solving numerically magnetostatic systems ⋮ Efficient parallel solution of the 3D stationary Boltzmann transport equation for diffusive problems ⋮ Numerical analysis of the mixed finite element method for the neutron diffusion eigenproblem with heterogeneous coefficients ⋮ Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients

Uses Software

• MINOS
• APOLLO3
• parafish

Cites Work

• A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
• A two level domain decomposition preconditioner based on local Dirichlet-to-Neumann maps
• Efficient parallel resolution of the simplified transport equations in mixed-dual formulation
• An adaptive algebraic multigrid for multigroup neutron diffusion reactor core calculations
• Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains
• Theory and practice of finite elements.
• Mixed and Hybrid Finite Element Methods
• Un résultat de densité pour les équations de Maxwell
• The optimized order 2 method
• An Adaptive Algebraic Multigrid for Reactor Criticality Calculations
• Domain Decomposition for the SP_NSolver MINOS
• Optimized Schwarz Methods
• Numerical analysis of a model for an axisymmetric guide for electromagnetic waves Part I: the continuous problem and its Fourier expansion
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item