3 papers
math.NA2020
A discrete elasticity complex on three-dimensional Alfeld splits
Snorre H. Christiansen, Jay Gopalakrishnan, Johnny Guzmán +1
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 t…
math.NA2020
Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics
Erik Burman, Snorre Christiansen, Peter Hansbo
In this note we will explore some applications of the recently constructed piecewise affine, -conforming element that fits in a discrete de Rham complex [Christiansen and Hu,…
math.NA2019
Finite Element Systems for vector bundles : elasticity and curvature
Snorre H. Christiansen, Kaibo Hu
We develop a theory of Finite Element Systems, for the purpose of discretizing sections of vector bundles, in particular those arizing in the theory of elasticity. In the presence…