Conforming finite element DIVDIV complexes and the application for the linearized Einstein-Bianchi system
Numerical Analysis
2021-03-02 v1 Numerical Analysis
Abstract
This paper presents the first family of conforming finite element divdiv complexes on tetrahedral grids in three dimensions. In these complexes, finite element spaces of are from a current preprint [Chen and Huang, arXiv: 2007.12399, 2020] while finite element spaces of both and 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 Einstein-Bianchi system within the dual formulation.
Cite
@article{arxiv.2103.00088,
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 preprint arXiv:2103.00088},
year = {2021}
}