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A primal finite element scheme of the Hodge Laplace problem | | Shuo Zhang
; | | Date: |
1 Aug 2022 | | Abstract: | In this paper, a unified family, for any $ngeqslant 2$ and $1leqslant
kleqslant n-1$, of nonconforming finite element schemes are presented for the
primal weak formulation of the $n$-dimensional Hodge-Laplace equation on
$HLambda^kcap H^*_0Lambda^k$ and on the simplicial subdivisions of the
domain. The finite element scheme possesses an $mathcal{O}(h)$-order
convergence rate for sufficiently regular data, and an $mathcal{O}(h^s)$-order
rate on any $s$-regular domain, $0<sleqslant 1$, no matter what topology the
domain has. | | Source: | arXiv, 2208.00575 | | Services: | Forum | Review | PDF | Favorites | |
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