Stress‐based Finite Element Methods for Sea Ice Dynamics

Fleurianne Bertrand

doi:10.1002/pamm.201800450

Stress‐based Finite Element Methods for Sea Ice Dynamics

Fleurianne Bertrand

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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.

Original language	English
Article number	e201800450
Journal	Proceedings in Applied Mathematics and Mechanics
Volume	18
Issue number	1
DOIs	https://doi.org/10.1002/pamm.201800450
Publication status	Published - 5 Sep 2018
Event	89th Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2018 - TU Munich, Munich, Germany Duration: 19 Mar 2018 → 23 Mar 2018 Conference number: 89 https://jahrestagung.gamm-ev.de/index.php/2018/2018-annual-meeting

Keywords

math.NA

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10.1002/pamm.201800450

Bertrand2018least-squaresSubmitted version, 402 KB

https://arxiv.org/abs/1809.01344

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Stress‐based Finite Element Methods for Sea Ice Dynamics

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