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arXiv · 2009.07744

A discrete elasticity complex on three-dimensional Alfeld splits

Snorre H. Christiansen·Jay Gopalakrishnan·Johnny Guzmán·Kaibo Hu
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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.

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Snorre H. Christiansen, Jay Gopalakrishnan, Johnny Guzmán, Kaibo Hu. 2020-09-16. A discrete elasticity complex on three-dimensional Alfeld splits. https://arxiv.org/abs/2009.07744

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