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Improving Numerical Accuracy for the Viscous-Plastic Formulation of Sea Ice

https://doi.org/10.2139/ssrn.4158387
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30/30 checkable references clean · checked 2026-09-06

Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.

10 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.

The 30 checked references that resolve
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Remote Measurement of Sea Ice Dynamics With Regularized Optimal Transport
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A Dynamic Thermodynamic Sea Ice Model
resolves10.1175/1520-0485(1997)027<1849:AEVPMF>2.0.CO;2
An Elastic–Viscous–Plastic Model for Sea Ice Dynamics
resolves10.1006/jcph.2001.6710
Viscous–Plastic Sea Ice Dynamics with the EVP Model: Linearization Issues
resolves10.3189/172756411795931499
A new modeling framework for sea-ice mechanics based on elasto-brittle rheology
resolves10.1016/j.jnnfm.2006.05.001
Modelling the rheology of sea ice as a collection of diamond-shaped floes
resolves10.5194/tc-10-1339-2016
A Maxwell elasto-brittle rheology for sea ice modelling
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On the effect of rheology on seasonal sea-ice simulations
resolves10.1016/j.jcp.2009.12.011
Improving the numerical convergence of viscous-plastic sea ice models with the Jacobian-free Newton–Krylov method
resolves10.1029/2008JC004783
Variability of sea ice simulations assessed with RGPS kinematics
resolves10.1016/j.jcp.2012.05.024
A comparison of the Jacobian-free Newton–Krylov method and the EVP model for solving the sea ice momentum equation with a viscous-plastic formulation: A serial algorithm study
resolves10.1016/j.jcp.2015.04.051
On the convergence of the modified elastic–viscous–plastic method for solving the sea ice momentum equation
resolves10.1016/j.jcp.2014.01.010
A second-order accurate in time IMplicit–EXplicit (IMEX) integration scheme for sea ice dynamics
resolves10.1016/j.ocemod.2018.08.001
The dependence of energy dissipation on spatial resolution in a viscous-plastic sea-ice model
resolves10.1017/S0962492920000057
Essentially non-oscillatory and weighted essentially non-oscillatory schemes
resolves10.1006/jcph.1994.1187
Weighted Essentially Non-oscillatory Schemes
resolves10.1175/1520-0493(2004)132<1341:MSITUI>2.0.CO;2
Modeling Sea Ice Transport Using Incremental Remapping
resolves10.1142/9789814415309_0005
MODELS OF PATTERN FORMATION IN FIRST-ORDER PHASE TRANSITIONS
resolves10.1029/96JC03744
On an efficient numerical method for modeling sea ice dynamics
resolves10.1029/2005JC003355
Ridging, strength, and stability in high‐resolution sea ice models
resolves10.1016/j.jcp.2017.03.048
The effects of plastic waves on the numerical convergence of the viscous–plastic and elastic–viscous–plastic sea-ice models
resolves10.1016/j.jcp.2017.02.065
Implementation of Newton's method with an analytical Jacobian to solve the 1D sea ice momentum equation
resolves10.1137/0914028
A Flexible Inner-Outer Preconditioned GMRES Algorithm
resolves10.1137/100791002
High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations
resolves10.1006/jcph.1996.0130
Efficient Implementation of Weighted ENO Schemes
resolves10.1016/B978-0-12-460817-7.50009-4
Computational Design of the Basic Dynamical Processes of the UCLA General Circulation Model
resolves10.1080/16000870.2018.1564487
Data fusion and data assimilation of ice thickness observations using a regularisation framework
resolves10.1007/s10915-017-0530-8
Using $$\ell _1$$ Regularization to Improve Numerical Partial Differential Equation Solvers
The 10 references without a DOI — listed, not checked
no DOI — not checkedwe denote the number of subcycles by N sub , satisfying N sub � ?t e = ?t. Remark 3.1. We note that neither the JFNK nor the EVP solver has entirely resolved the convergence issue
no DOI — not checkedNumerical convergence of viscous-plastic sea ice models
no DOI — not checkedref19
no DOI — not checkedref22
no DOI — not checkedref23
no DOI — not checkedPhase field models for free boundary problems
no DOI — not checkedIce-ocean momentum transfer for the AIDJEX ice model
no DOI — not checkedUsing the preconditioned generalized minimum residual (GMRES) method to solve the sea-ice momentum equation
no DOI — not checkedref34
no DOI — not checkedEfficient implementation of essentially non-oscillatory shock-capturing schemes
What this badge says. CiteStamped means the CHECKABLE references of this work were clean at the dated check: each resolved to a known work in a public registry, and none carried a retraction notice at that time. It says nothing about the quality, findings, or importance of the work itself, and nothing about references deposited without a DOI.

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