A discrete elasticity complex on three-dimensional Alfeld splits
Numerical Analysis
2020-09-17 v1 Numerical Analysis
Abstract
We construct conforming finite element elasticity complexes on the Alfeld splits of tetrahedra. The complex consists of vector fields and symmetric tensor fields, interlinked via the linearized deformation operator, the linearized curvature operator, and the divergence operator, respectively. The construction is based on an algebraic machinery that derives the elasticity complex from de~Rham complexes, and smoother finite element differential forms.
Cite
@article{arxiv.2009.07744,
title = {A discrete elasticity complex on three-dimensional Alfeld splits},
author = {Snorre H. Christiansen and Jay Gopalakrishnan and Johnny Guzmán and Kaibo Hu},
journal= {arXiv preprint arXiv:2009.07744},
year = {2020}
}