Improving the numerical convergence of viscous-plastic sea ice models with the Jacobian-free Newton-Krylov method

DOI10.1016/j.jcp.2009.12.011zbMath1184.86004OpenAlexW2064306427WikidataQ58257311 ScholiaQ58257311MaRDI QIDQ964286

B. E. Eshmatov

Publication date: 15 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.12.011

zbMATH Keywords

numerical convergenceNewton-Krylov methodsea iceviscous-plastic rheology

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05)

Related Items

A parallel Jacobian-free Newton-Krylov solver for a coupled sea ice-ocean model, A second-order accurate in time implicit-explicit (IMEX) integration scheme for sea ice dynamics, Implementation of Newton's method with an analytical Jacobian to solve the 1D sea ice momentum equation, A finite element multigrid-framework to solve the sea ice momentum equation, Improving numerical accuracy for the viscous-plastic formulation of sea ice, Parallel Jacobian-free Newton Krylov solution of the discrete ordinates method with flux limiters for 3D radiative transfer, Implementation of the Jacobian-free Newton-Krylov method for solving the first-order ice sheet momentum balance, On linearization and preconditioning for radiation diffusion coupled to material thermal conduction equations, Improving the Jacobian free Newton-Krylov method for the viscous-plastic sea ice momentum equation, On the convergence of the modified elastic-viscous-plastic method for solving the sea ice momentum equation, Robust and efficient primal-dual Newton-Krylov solvers for viscous-plastic sea-ice models

Uses Software

• Algorithm 760
• KELLEY

Cites Work

• On backtracking failure in Newton-GMRES methods with a demonstration for the Navier-Stokes equations
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• Numerical method for coupling the macro and meso scales in stochastic chemical kinetics
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Globally Convergent Inexact Newton Methods
• Algorithm 760: Rectangular-grid-data surface fitting that has the accuracy of a bicubic polynomial
• Pseudotransient Continuation and Differential-Algebraic Equations
• Choosing the Forcing Terms in an Inexact Newton Method
• Viscous-plastic sea ice dynamics with the EVP model: Linearization issues
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