Leveraging Anderson acceleration for improved convergence of iterative solutions to transport systems

DOI10.1016/j.jcp.2014.05.015zbMath1351.82093OpenAlexW2022081597MaRDI QIDQ728562

Jeffrey Willert, W. T. Taitano, Dana A. Knoll

Publication date: 20 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.2014.05.015

zbMATH Keywords

plasma physicsneutron transportBoltzmann equationsAnderson acceleration

Mathematics Subject Classification ID

Statistical mechanics of plasmas (82D10)

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Uses Software

• Anderson
• NKA

Cites Work

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• An energy- and charge-conserving, implicit, electrostatic particle-in-cell algorithm
• A characterization of the behavior of the Anderson acceleration on linear problems
• Nonlinear Krylov acceleration applied to a discrete ordinates formulation of the \(k\)-eigenvalue problem
• Development of a Consistent and Stable Fully Implicit Moment Method for Vlasov--Ampère Particle in Cell (PIC) System
• Anderson Acceleration for Fixed-Point Iterations
• Design and Application of a Gradient-Weighted Moving Finite Element Code I: in One Dimension
• Krylov Subspace Acceleration of Nonlinear Multigrid with Application to Recirculating Flows
• Nonlinear acceleration of coupled fluid–structure transient thermal problems by Anderson mixing
• Convergence Analysis for Anderson Acceleration
• Iterative Procedures for Nonlinear Integral Equations