Articles | Volume 19, issue 10
https://doi.org/10.5194/tc-19-4499-2025
https://doi.org/10.5194/tc-19-4499-2025
Research article
 | 
13 Oct 2025
Research article |  | 13 Oct 2025

A novel transformation of the ice sheet Stokes equations and some of its properties and applications

John K. Dukowicz

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A Novel Transformation of the Ice Sheet Stokes Equations and Some of its Properties and Applications
John K. Dukowicz
EGUsphere, https://doi.org/10.5194/egusphere-2024-426,https://doi.org/10.5194/egusphere-2024-426, 2024
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Cited articles

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Benzi, M., Golub, G. H., and Liesen, J.: Numerical Solution of Saddle Point Problems, Acta Numer., 14, 1–137, https://doi.org/10.1017/S0962492904000212, 2005. 
Blatter, H.: Velocity and Stress Fields in Grounded Glaciers: A Simple Algorithm for Including Deviatoric Stress Gradients, J. Glaciol., 41, 333–344, 1995. 
Boffi, D., Brezzi, F., and Fortin, M.: Finite Elements for the Stokes Problem, in: Mixed Finite Elements, Compatibility Conditions, and Applications. Lecture Notes in Mathematics, vol. 1939, edited by: Boffi, D. and Gastaldi, L., Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78319-0_2, 2008. 
Boffi, D., Cavallini, N., Gardini, F., and Gastaldi, L.: Local Mass Conservation of Stokes Finite Elements, J. Sci. Comput., 52, 383–400, 2012. 
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Short summary
A novel transformation of the Stokes ice sheet equations is presented that expands the scope of traditional methods. The new formulation is closely related to a widely used Stokes approximation, the Blatter–Pattyn model, such that an ice sheet model may be easily switched between the two formulations, allowing for adaptive applications. The new formulation also facilitates new approximations that improve on the Blatter–Pattyn model, heretofore the best approximate ice sheet model.
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