<div class="csl-bib-body">
<div class="csl-entry">Sky, A., Neunteufel, M., Lewintan, P., Zilian, A., & Neff, P. (2024). Novel H (sym Curl)-conforming finite elements for the relaxed micromorphic sequence. <i>Computer Methods in Applied Mechanics and Engineering</i>, <i>418</i>, Article 116494. https://doi.org/10.1016/j.cma.2023.116494</div>
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dc.identifier.issn
0045-7825
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/189666
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dc.description.abstract
In this work we construct novel H(symCurl)-conforming finite elements for the recently introduced relaxed micromorphic sequence, which can be considered as the completion of the divDiv-sequence with respect to the H(symCurl)-space. The elements respect H(Curl)-regularity and their lowest order versions converge optimally for [H(symCurl)\H(Curl)]-fields. This work introduces a detailed construction, proofs of linear independence and conformity of the basis, and numerical examples. Further, we demonstrate an application to the computation of metamaterials with the relaxed micromorphic model.
en
dc.language.iso
en
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dc.publisher
ELSEVIER SCIENCE SA
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dc.relation.ispartof
Computer Methods in Applied Mechanics and Engineering
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dc.subject
divDiv sequence
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dc.subject
H(sym Curl) finite elements
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dc.subject
Metamaterials
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dc.subject
Polytopal templates
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dc.subject
Relaxed micromorphic model
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dc.subject
Relaxed micromorphic sequence
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dc.title
Novel H (sym Curl)-conforming finite elements for the relaxed micromorphic sequence
