Stress‐based Finite Element Methods for Sea Ice Dynamics

Abstract A first‐order system least squares formulation for the sea‐ice dynamics is presented. In addition to the displacement field, the stress tensor is used as a variable. As finite element spaces, standard conforming piecewise polynomials for the displacement approximation are combined with Ravi...

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Bibliographic Details
Published in:PAMM
Main Author: Bertrand, Fleurianne
Format: Article in Journal/Newspaper
Language:English
Published: Wiley 2018
Subjects:
Online Access:http://dx.doi.org/10.1002/pamm.201800450
https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fpamm.201800450
https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.201800450
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Summary:Abstract A first‐order system least squares formulation for the sea‐ice dynamics is presented. In addition to the displacement field, the stress tensor is used as a variable. As finite element spaces, standard conforming piecewise polynomials for the displacement approximation are combined with Raviart‐Thomas elements for the rows in the stress tensor. Computational results for a test problem illustrate the least‐squares approach.