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CONFORMING FINITE ELEMENT DIVDIV COMPLEXES AND THE APPLICATION FOR THE LINEARIZED EINSTEIN-BIANCHI SYSTEM.
- Source :
- SIAM Journal on Numerical Analysis; 2022, Vol. 60 Issue 3, p1307-1330, 24p
- Publication Year :
- 2022
-
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 H(div div, Ω; S) are from a recent article [L. Chen and X. Huang, Math. Comp., 91 (2022), pp. 1107-1142] while finite element spaces of both H(symcurl, Ω; T) and H¹( Ω; ℝ³) 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- TETRAHEDRAL molecules
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00361429
- Volume :
- 60
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Numerical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 157290711
- Full Text :
- https://doi.org/10.1137/21M1404235