Parareal in time 3D numerical solver for the LWR benchmark neutron diffusion transient model

DOI10.1016/j.jcp.2014.08.037zbMath1351.82069arXiv1403.1746OpenAlexW2033504867MaRDI QIDQ728714

Anne-Marie Baudron, Yvon Maday, Mohamed Kamel Riahi, Jean-Jacques Lautard, Julien Salomon

Publication date: 20 December 2016

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

Full work available at URL: https://arxiv.org/abs/1403.1746

zbMATH Keywords

high performance computingparareal in time algorithmtime-dependent neutron diffusion equations

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Transport processes in time-dependent statistical mechanics (82C70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Nuclear reactor theory; neutron transport (82D75)

Related Items

PiTSBiCG: parallel in time stable bi-conjugate gradient algorithm, Applications of time parallelization, A stable parareal-like method for the second order wave equation, PPINN: parareal physics-informed neural network for time-dependent PDEs, Parallel time-stepping for fluid–structure interactions, A hybrid parareal Monte Carlo algorithm for parabolic problems, The Parareal in Time Algorithm Applied to the Kinetic Neutron Diffusion Equation

Uses Software

• FreeFem++

Cites Work

• Scheduling of tasks in the parareal algorithm
• A hybrid parareal spectral deferred corrections method
• A parareal in time procedure for the control of partial differential equations
• Domain decomposition methods for the neutron diffusion problem
• Résolution d'EDP par un schéma en temps «pararéel »
• The Reduced Basis Technique as a Coarse Solver for Parareal in Time Simulations
• The Parareal in Time Algorithm Applied to the Kinetic Neutron Diffusion Equation
• Analysis of Block Parareal Preconditioners for Parabolic Optimal Control Problems
• Time-parallel implicit integrators for the near-real-time prediction of linear structural dynamic responses
• Nonlinear Convergence Analysis for the Parareal Algorithm
• Analysis of a Krylov subspace enhanced parareal algorithm for linear problems
• On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations
• A Parareal in Time Semi-implicit Approximation of the Navier-Stokes Equations
• The Parareal in Time Iterative Solver: a Further Direction to Parallel Implementation
• Stability of the Parareal Algorithm
• Monotonic Parareal Control for Quantum Systems
• Analysis of the Parareal Time‐Parallel Time‐Integration Method
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