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Nonconforming finite elements for the Brinkman and -curlΔcurl problems on cubical meshes
[article]
2022
arXiv
pre-print
We propose two families of nonconforming elements on cubical meshes: one for the -curlΔcurl problem and the other for the Brinkman problem. The element for the -curlΔcurl problem is the first nonconforming element on cubical meshes. The element for the Brinkman problem can yield a uniformly stable finite element method with respect to the parameter ν. The lowest-order elements for the -curlΔcurl and the Brinkman problems have 48 and 30 degrees of freedom, respectively. The two families of
arXiv:2206.08493v2
fatcat:j5p4uq2djbgmljxamiu77mikk4