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Discrete Hessian complexes in three dimensions

Published 20 Dec 2020 in gr-qc, cs.NA, and math.NA | (2012.10914v2)

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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