Acceleration of Newton’s Method Using Nonlinear Jacobi Preconditioning

DOI10.1007/978-3-030-43651-3_36zbMath1454.65075OpenAlexW2999405503MaRDI QIDQ5117460

Konstantin Brenner

Publication date: 25 August 2020

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-43651-3_36

zbMATH Keywords

Newton's methodmonotone convergencemildly nonlinear systemsnonlinear preconditioning

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Flows in porous media; filtration; seepage (76S05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Preconditioners for iterative methods (65F08) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (2)

On several numerical strategies to solve Richards' equation in heterogeneous media with finite volumes ⋮ On the monotone convergence of Jacobi-Newton method for mildly nonlinear systems

Cites Work

• Nonstationary filtration in partially saturated porous media
• Improving Newton's Method Performance by Parametrization: The Case of the Richards Equation
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