Finite Element Systems for Vector Bundles: Elasticity and Curvature
CC BY
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s10208-022-09555-x https://dlib.phenikaa-uni.edu.vn/handle/PNK/7429 |
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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 |
8.887836 |