Novel H (symCurl)-conforming finite elements for the relaxed micromorphic sequence

A Sky, M Neunteufel, P Lewintan, A Zilian… - Computer Methods in …, 2024 - Elsevier
In this work we construct novel H (sym Curl)-conforming finite elements for the recently
introduced relaxed micromorphic sequence, which can be considered as the completion of …

A Reissner–Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations

A Sky, M Neunteufel, JS Hale, A Zilian - Computer Methods in Applied …, 2023 - Elsevier
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 …

Higher order Bernstein–Bézier and Nédélec finite elements for the relaxed micromorphic model

A Sky, I Muench, G Rizzi, P Neff - Journal of Computational and Applied …, 2024 - Elsevier
The relaxed micromorphic model is a generalized continuum model that is well-posed in the
space X=[H 1] 3×[H (curl)] 3. Consequently, finite element formulations of the model rely on …

Hierarchical Universal Matrices for Curvilinear Tetrahedral H(curl) Finite Elements with Inhomogeneous Material Properties

LL Tóth, A Amor-Martin… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
A general method for calculating mass and stiffness matrices of-conforming finite elements
(FEs) is proposed. It applies to curvilinear geometries and/or inhomogeneous materials …

Eine schubversteifungsfreie Formulierung der Reissner Mindlin Platte anhand Hu-Zhang Elemente

A Sky, N Michael, J HALE, A Zilian - Fachtagung Baustatik–Baupraxis …, 2024 - orbilu.uni.lu
Eine neuartige Diskretisierung der Reissner-Mindlin-Plat-tengleichung, die für den
symmetrischen Momententensor Hu-Zhang-Elemente und für die Schubspannungen …

[PDF][PDF] Bernstein–Bézier finite elements for RMM in Rust

A Sky - researchgate.net
• The fourth order tensor Cc∈ R3× 3× 3× 3 accounts for infinitesimal rotations Cc: so (3)→
so (3), where so (3) is the space of skew-symmetric matrices• The functional has a unique …