Conforming discrete Gradgrad-complexes in three dimensions
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- by Jun Hu and Yizhou Liang;
- Math. Comp. 90 (2021), 1637-1662
- DOI: https://doi.org/10.1090/mcom/3628
- Published electronically: March 24, 2021
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Abstract:
In this paper, the first family of conforming discrete three dimensional Gradgrad-complexes consisting of finite element spaces is constructed. These discrete complexes are exact in the sense that the range of each discrete map is the kernel space of the succeeding one. These spaces can be used in the mixed form of the linearized Einstein-Bianchi system.References
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Bibliographic Information
- Jun Hu
- Affiliation: LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China
- MR Author ID: 714525
- Email: hujun@math.pku.edu.cn
- Yizhou Liang
- Affiliation: LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, Peoples’s Republic of China
- ORCID: 0000-0001-6318-1708
- Email: lyz2015@pku.edu.cn
- Received by editor(s): July 30, 2020
- Received by editor(s) in revised form: November 5, 2020
- Published electronically: March 24, 2021
- Additional Notes: The authors were supported by NSFC projects 11625101 and 11421101. The second author was supported by The Elite Program of Computational and Applied Mathematics for Ph.D. Candidates in Peking University.
- © Copyright 2021 American Mathematical Society
- Journal: Math. Comp. 90 (2021), 1637-1662
- MSC (2020): Primary 65N30
- DOI: https://doi.org/10.1090/mcom/3628
- MathSciNet review: 4273111