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 …

Longitudinal wave propagation in coated sphere-filled composites based on reduced micromorphic model

E Ghavanloo, E Pouramiri - Journal of the Brazilian Society of Mechanical …, 2025 - Springer
This paper investigates wave propagation in coated sphere-filled composites using the
reduced micromorphic model. Composite materials with coated spheres dispersed in a …

Formulae and transformations for simplicial tensorial finite elements via polytopal templates

A Sky, M Neunteufel, JS Hale, A Zilian - arXiv preprint arXiv:2405.10402, 2024 - arxiv.org
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 …

Novel -conforming elements on regular triangulations and Clough--Tocher splits for the planar relaxed micromorphic model

A Sky, M Neunteufel, P Lewintan, P Gourgiotis… - arXiv preprint arXiv …, 2024 - arxiv.org
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 …