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A fully discrete plates complex on polygonal meshes with application to the Kirchhoff--Love problem.
- Source :
-
Mathematics of Computation . Jan2023, Vol. 92 Issue 339, p51-77. 27p. - Publication Year :
- 2023
-
Abstract
- In this work we develop a novel fully discrete version of the plates complex, an exact Hilbert complex relevant for the mixed formulation of fourth-order problems. The derivation of the discrete complex follows the discrete de Rham paradigm, leading to an arbitrary-order construction that applies to meshes composed of general polygonal elements. The discrete plates complex is then used to derive a novel numerical scheme for Kirchhoff–Love plates, for which a full stability and convergence analysis are performed. Extensive numerical tests complete the exposition. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BIHARMONIC equations
Subjects
Details
- Language :
- English
- ISSN :
- 00255718
- Volume :
- 92
- Issue :
- 339
- Database :
- Academic Search Index
- Journal :
- Mathematics of Computation
- Publication Type :
- Academic Journal
- Accession number :
- 159682599
- Full Text :
- https://doi.org/10.1090/mcom/3765