Developments on the Broyden procedure to solve nonlinear problems arising in CFD

DOI10.1016/j.compfluid.2013.10.002zbMath1390.65042OpenAlexW2033664487MaRDI QIDQ1643706

L. Berenguer, Damien Tromeur-Dervout

Publication date: 19 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2013.10.002

zbMATH Keywords

quasi-Newton methodsrestricted additive Schwarztime-pipelining

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Parallel numerical computation (65Y05)

Related Items

Asynchronous partial update of the restricted additive Schwarz preconditioner to solve nonlinear CFD problems ⋮ Two improved classes of Broyden's methods for solving nonlinear systems of equations

Uses Software

• PETSc

Cites Work

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• Low-rank update of preconditioners for the inexact Newton method with SPD Jacobian
• A hybrid parareal spectral deferred corrections method
• Quasi-Newton preconditioners for the inexact Newton method
• Parallel ODE-solvers with stepsize control
• A class of parallel two-level nonlinear Schwarz preconditioned inexact Newton algorithms
• An extension of the theory of secant preconditioners
• An autoadaptative limited memory Broyden's method to solve systems of nonlinear equations
• Two classes of multisecant methods for nonlinear acceleration
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Quasi-Newton Methods, Motivation and Theory
• Pseudotransient Continuation and Differential-Algebraic Equations
• A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
• Minimizing the Condition Number for Small Rank Modifications
• What Color Is Your Jacobian? Graph Coloring for Computing Derivatives