paper

Discrete Hessian complexes in three dimensions

arXiv:2012.10914 · doi:10.1007/978-3-030-95319-5_3

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.

31 pages