CONFORMING FINITE ELEMENT DIVDIV COMPLEXES AND THE APPLICATION FOR THE LINEARIZED EINSTEIN-BIANCHI SYSTEM

Jun Hu; Yizhou Liang; Rui Ma

doi:10.1137/21M1404235

CONFORMING FINITE ELEMENT DIVDIV COMPLEXES AND THE APPLICATION FOR THE LINEARIZED EINSTEIN-BIANCHI SYSTEM

Jun Hu, Yizhou Liang, Rui Ma

科研成果: 期刊稿件 › 文章 › 同行评审

9 引用（Scopus）

摘要

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(sym curl, 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.

源语言	英语
页（从-至）	1307-1330
页数	24
期刊	SIAM Journal on Numerical Analysis
卷	60
期	3
DOI	https://doi.org/10.1137/21M1404235
出版状态	已出版 - 2022
已对外发布	是

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Hu, J., Liang, Y., & Ma, R. (2022). CONFORMING FINITE ELEMENT DIVDIV COMPLEXES AND THE APPLICATION FOR THE LINEARIZED EINSTEIN-BIANCHI SYSTEM. SIAM Journal on Numerical Analysis, 60(3), 1307-1330. https://doi.org/10.1137/21M1404235

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CONFORMING FINITE ELEMENT DIVDIV COMPLEXES AND THE APPLICATION FOR THE LINEARIZED EINSTEIN-BIANCHI SYSTEM

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