Discrete Hessian complexes in three dimensions
General Relativity and Quantum Cosmology
2025-06-10 v2 Numerical Analysis
Numerical Analysis
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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Cite
@article{arxiv.2012.10914,
title = {Discrete Hessian complexes in three dimensions},
author = {Long Chen and Xuehai Huang},
journal= {arXiv preprint arXiv:2012.10914},
year = {2025}
}
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31 pages