• Corpus ID: 232076213

# Conforming finite element DIVDIV complexes and the application for the linearized Einstein-Bianchi system

@article{Hu2021ConformingFE,
title={Conforming finite element DIVDIV complexes and the application for the linearized Einstein-Bianchi system},
author={Jun Hu and Yizhou Liang and Rui Ma},
journal={ArXiv},
year={2021},
volume={abs/2103.00088}
}
• Published 26 February 2021
• Computer Science, Mathematics
• ArXiv
Abstract. This paper presents the first family of conforming finite element div div complexes on tetrahedral grids in three dimensions. In these complexes, finite element spaces of Hpdiv div,Ω; Sq are from a current preprint [Chen and Huang, arXiv: 2007.12399, 2020] while finite element spaces of both Hpsym curl,Ω;Tq and HpΩ;Rq are newly constructed here. It is proved that these finite element complexes are exact. As a result, they can be used to discretize the linearized EinsteinBianchi system…
2 Citations
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