Conforming Discrete Gradgrad-Complexes in Three Dimensions

08/02/2020

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by   Jun Hu, et al.

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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.