Conforming Finite Elements for H(sym Curl) and H(dev sym Curl)
Research output: Preprint/documentation/report › Preprint
Contributors
Abstract
We construct conforming finite elements for the spaces H(symCurl) and H(devsymCurl). Those are spaces of matrix-valued functions with symmetric or deviatoric-symmetric Curl in a Lebesgue space, and they appear in various models of nonstandard solid mechanics. The finite elements are not H(Curl)-conforming. We show the construction, prove conformity and unisolvence, and point out optimal approximation error bounds.
Details
Original language | English |
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Publisher | arXiv |
Number of pages | 14 |
Volume | 2104.12825 |
Publication status | Published - 2021 |
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External IDs
ArXiv | 2104.12825 |
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ORCID | /0000-0003-1093-6374/work/142660178 |