Least-Squares Finite Element Method for Sea-Ice Dynamics

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-Thoma...

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Bibliographic Details
Main Author: Bertrand, Fleurianne
Format: Report
Language:unknown
Published: arXiv 2018
Subjects:
Numerical Analysis math.NA
FOS Mathematics
Sea ice
Online Access:https://dx.doi.org/10.48550/arxiv.1809.01344
https://arxiv.org/abs/1809.01344
id ftdatacite:10.48550/arxiv.1809.01344
record_format openpolar
spelling ftdatacite:10.48550/arxiv.1809.01344 2023-05-15T18:17:05+02:00 Least-Squares Finite Element Method for Sea-Ice Dynamics Bertrand, Fleurianne 2018 https://dx.doi.org/10.48550/arxiv.1809.01344 https://arxiv.org/abs/1809.01344 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Numerical Analysis math.NA FOS Mathematics Preprint Article article CreativeWork 2018 ftdatacite https://doi.org/10.48550/arxiv.1809.01344 2022-04-01T09:10:19Z 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. Report Sea ice DataCite Metadata Store (German National Library of Science and Technology)
institution Open Polar
collection DataCite Metadata Store (German National Library of Science and Technology)
op_collection_id ftdatacite
language unknown
topic Numerical Analysis math.NA
FOS Mathematics
spellingShingle Numerical Analysis math.NA
FOS Mathematics
Bertrand, Fleurianne
Least-Squares Finite Element Method for Sea-Ice Dynamics
topic_facet Numerical Analysis math.NA
FOS Mathematics
description 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.
format Report
author Bertrand, Fleurianne
author_facet Bertrand, Fleurianne
author_sort Bertrand, Fleurianne
title Least-Squares Finite Element Method for Sea-Ice Dynamics
title_short Least-Squares Finite Element Method for Sea-Ice Dynamics
title_full Least-Squares Finite Element Method for Sea-Ice Dynamics
title_fullStr Least-Squares Finite Element Method for Sea-Ice Dynamics
title_full_unstemmed Least-Squares Finite Element Method for Sea-Ice Dynamics
title_sort least-squares finite element method for sea-ice dynamics
publisher arXiv
publishDate 2018
url https://dx.doi.org/10.48550/arxiv.1809.01344
https://arxiv.org/abs/1809.01344
genre Sea ice
genre_facet Sea ice
op_rights arXiv.org perpetual, non-exclusive license
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
op_doi https://doi.org/10.48550/arxiv.1809.01344
_version_ 1766191109423235072

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