Discrete tensor product BGG sequences: splines and finite elements
In this paper, we provide a systematic discretization of the Bernstein-Gelfand-Gelfand diagrams and complexes over cubical meshes in arbitrary dimension via the use of tensor product structures of one-dimensional piecewise-polynomial spaces, such as spline and finite element spaces. We demonstrate t...
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| Main Authors: | , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
April 17, 2024
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| In: |
Mathematics of computation
Year: 2024, Pages: 1-33 |
| ISSN: | 1088-6842 |
| DOI: | 10.1090/mcom/3969 |
| Online Access: | Verlag, kostenfrei, Volltext: https://doi.org/10.1090/mcom/3969 Verlag, kostenfrei, Volltext: https://www.ams.org/mcom/0000-000-00/S0025-5718-2024-03969-8/ 
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| Author Notes: | Francesca Bonizzoni, Kaibo Hu, Guido Kanschat, and Duygu Sap |
| Summary: | In this paper, we provide a systematic discretization of the Bernstein-Gelfand-Gelfand diagrams and complexes over cubical meshes in arbitrary dimension via the use of tensor product structures of one-dimensional piecewise-polynomial spaces, such as spline and finite element spaces. We demonstrate the construction of the Hessian, the elasticity, and complexes as examples for our construction. |
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| Item Description: | Gesehen am 23.10.2024 |
| Physical Description: | Online Resource |
| ISSN: | 1088-6842 |
| DOI: | 10.1090/mcom/3969 |