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 …

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 …

Primal and mixed finite element formulations for the relaxed micromorphic model

A Sky, M Neunteufel, I Muench, J Schöberl… - Computer Methods in …, 2022 - Elsevier
The classical Cauchy continuum theory is suitable to model highly homogeneous materials.
However, many materials, such as porous media or metamaterials, exhibit a pronounced …

Minimum energy multiple crack propagation. Part III: XFEM computer implementation and applications

D Sutula, P Kerfriden, T van Dam… - Engineering Fracture …, 2018 - Elsevier
The three-part paper deals with energy-minimal multiple crack propagation in a linear elastic
solid under quasi-static conditions. The principle of minimum total energy, ie the sum of the …

Parallelized 3D CSEM modeling using edge-based finite element with total field formulation and unstructured mesh

H Cai, X Hu, J Li, M Endo, B **ong - Computers & Geosciences, 2017 - Elsevier
We solve the 3D controlled-source electromagnetic (CSEM) problem using the edge-based
finite element method. The modeling domain is discretized using unstructured tetrahedral …

[HTML][HTML] Polytopal templates for semi-continuous vectorial finite elements of arbitrary order on triangulations and tetrahedralizations

A Sky, I Muench - Finite Elements in Analysis and Design, 2024 - Elsevier
The Hilbert spaces H (curl) and H (div) are employed in various variational problems
formulated in the context of the de Rham complex in order to guarantee well-posedness …

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 …

Spectral element method for 3-D controlled-source electromagnetic forward modelling using unstructured hexahedral meshes

M Weiss, T Kalscheuer, Z Ren - Geophysical Journal …, 2023 - academic.oup.com
For forward modelling of realistic 3-D land-based controlled-source electromagnetic (EM)
problems, we develop a parallel spectral element approach, blending the flexibility and …

A hybrid finite element formulation for a relaxed micromorphic continuum model of antiplane shear

A Sky, M Neunteufel, I Münch, J Schöberl… - Computational …, 2021 - Springer
One approach for the simulation of metamaterials is to extend an associated continuum
theory concerning its kinematic equations, and the relaxed micromorphic continuum …

Efficient goal-oriented mesh refinement in 3-D finite-element modelling adapted for controlled source electromagnetic surveys

P Rulff, LM Buntin, T Kalscheuer - Geophysical Journal …, 2021 - academic.oup.com
We developed a 3-D forward modelling code, which simulates controlled source
electromagnetic problems in frequency domain using edge-based finite elements and a total …