27 citations · 137 across the 23 of their papers we have counts for
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Finite element approximation of the Einstein tensor
Evan S. Gawlik, Michael Neunteufel
We construct and analyze finite element approximations of the Einstein tensor in dimension . We focus on the setting where a smooth Riemannian metric tensor on a polyh…
Generalizing Riemann curvature to Regge metrics
Jay Gopalakrishnan, Michael Neunteufel, Joachim Schöberl +1
In this paper, we propose a generalization of the Riemann curvature tensor on manifolds (of dimension two or higher) endowed with a Regge metric. Specifically, while all components…
Novel -conforming finite elements for the relaxed micromorphic sequence
Adam Sky, Michael Neunteufel, Peter Lewintan +2
In this work we construct novel -conforming finite elements for the recently introduced relaxed micromorphic sequence, which can be considered as the…
A Reissner-Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations
Adam Sky, Michael Neunteufel, Jack S. Hale +1
In this work we develop new finite element discretisations of the shear-deformable Reissner--Mindlin plate problem based on the Hellinger-Reissner principle of symmetric stresses.…
The Hellan-Herrmann-Johnson and TDNNS method for linear and nonlinear shells
Michael Neunteufel, Joachim Schöberl
In this paper we extend the recently introduced mixed Hellan-Herrmann-Johnson (HHJ) method for nonlinear Koiter shells to nonlinear Naghdi shells by means of a hierarchical approac…
Finite element approximation of scalar curvature in arbitrary dimension
Evan S. Gawlik, Michael Neunteufel
We analyze finite element discretizations of scalar curvature in dimension . Our analysis focuses on piecewise polynomial interpolants of a smooth Riemannian metric on…