Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Neunteufel, Michael"'
We propose two parameter-robust mixed finite element methods for linear Cosserat elasticity. The Cosserat coupling constant $\mu_c$, connecting the displacement $u$ and rotation vector $\omega$, leads to possible locking phenomena in finite element m
Externí odkaz:
http://arxiv.org/abs/2410.14176
Autor:
Sky, Adam, Neunteufel, Michael, Lewintan, Peter, Gourgiotis, Panos, Zilian, Andreas, Neff, Patrizio
In this work we present a consistent reduction of the relaxed micromorphic model to its corresponding two-dimensional planar model, such that its capacity to capture discontinuous dilatation fields is preserved. As a direct consequence of our approac
Externí odkaz:
http://arxiv.org/abs/2405.14849
We introduce a unified method for constructing the basis functions of a wide variety of partially continuous tensor-valued finite elements on simplices using polytopal templates. These finite element spaces are essential for achieving well-posed disc
Externí odkaz:
http://arxiv.org/abs/2405.10402
Although Regge finite element functions are not continuous, useful generalizations of nonlinear derivatives like the curvature, can be defined using them. This paper is devoted to studying the convergence of the finite element lifting of a generalize
Externí odkaz:
http://arxiv.org/abs/2401.12734
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 of the metric tensor are assumed to be smooth within elements of a tri
Externí odkaz:
http://arxiv.org/abs/2311.01603
Autor:
Gawlik, Evan S., Neunteufel, Michael
We construct and analyze finite element approximations of the Einstein tensor in dimension $N \ge 3$. We focus on the setting where a smooth Riemannian metric tensor $g$ on a polyhedral domain $\Omega \subset \mathbb{R}^N$ has been approximated by a
Externí odkaz:
http://arxiv.org/abs/2310.18802
In this work we construct novel $H(\mathrm{sym} \mathrm{Curl})$-conforming finite elements for the recently introduced relaxed micromorphic sequence, which can be considered as the completion of the $\mathrm{div} \mathrm{Div}$-sequence with respect t
Externí odkaz:
http://arxiv.org/abs/2308.07750
In this work we propose a novel concept of a hierarchical confusion matrix, opening the door for popular confusion matrix based (flat) evaluation measures from binary classification problems, while considering the peculiarities of hierarchical classi
Externí odkaz:
http://arxiv.org/abs/2306.09461
A Reissner-Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations
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. Specifically, we use conforming Hu-Zhang elements to discretise the be
Externí odkaz:
http://arxiv.org/abs/2305.17249
Autor:
Neunteufel, Michael, Schöberl, Joachim
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 approach. The additional shearing degrees of freedom are discretized by H(cur
Externí odkaz:
http://arxiv.org/abs/2304.13806