Discrete Hessian Complexes in Three Dimensions

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Abstract

A family of conforming virtual element Hessian complexes on tetrahedral meshes are constructed based on decompositions of polynomial tensor spaces. They are applied to discretize the linearized time-independent Einstein-Bianchi system with optimal order convergence.

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Chen, L., & Huang, X. (2022). Discrete Hessian Complexes in Three Dimensions. In SEMA SIMAI Springer Series (Vol. 31, pp. 93–135). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-95319-5_3

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