Discrete Hessian complexes in three dimensions

Long Chen and Xuehai Huang

In “The Virtual Element Method ad its Applications”. SEMA-SIMAI Springer series. 2021

arXiv   Bibtex coming soon


 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