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Finite Element Systems for Vector Bundles: Elasticity and Curvature

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Bibliographic Details
Main Authors: Snorre H., Christiansen, Kaibo, Hu
Format: Book
Language:English
Published: Springer 2023
Subjects:
de Rham theorem on cohomology group
sections of vector bundles
Online Access:https://link.springer.com/article/10.1007/s10208-022-09555-x
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7429
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spelling oai:localhost:PNK-74292023-04-03T04:49:17Z Finite Element Systems for Vector Bundles: Elasticity and Curvature Snorre H., Christiansen Kaibo, Hu de Rham theorem on cohomology group sections of vector bundles CC BY We develop a theory of finite element systems, for the purpose of discretizing sections of vector bundles, in particular those arising in the theory of elasticity. In the presence of curvature, we prove a discrete Bianchi identity. In the flat case, we prove a de Rham theorem on cohomology groups. We check that some known mixed finite elements for the stress–displacement formulation of elasticity fit our framework. 2023-04-03T04:49:17Z 2023-04-03T04:49:17Z 2022 Book https://link.springer.com/article/10.1007/s10208-022-09555-x https://dlib.phenikaa-uni.edu.vn/handle/PNK/7429 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic de Rham theorem on cohomology group
sections of vector bundles
spellingShingle de Rham theorem on cohomology group
sections of vector bundles
Snorre H., Christiansen
Kaibo, Hu
Finite Element Systems for Vector Bundles: Elasticity and Curvature
description CC BY
format Book
author Snorre H., Christiansen
Kaibo, Hu
author_facet Snorre H., Christiansen
Kaibo, Hu
author_sort Snorre H., Christiansen
title Finite Element Systems for Vector Bundles: Elasticity and Curvature
title_short Finite Element Systems for Vector Bundles: Elasticity and Curvature
title_full Finite Element Systems for Vector Bundles: Elasticity and Curvature
title_fullStr Finite Element Systems for Vector Bundles: Elasticity and Curvature
title_full_unstemmed Finite Element Systems for Vector Bundles: Elasticity and Curvature
title_sort finite element systems for vector bundles: elasticity and curvature
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s10208-022-09555-x
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7429
_version_ 1762184302986002432
score 8.891145

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