Nonconforming finite elements for the Brinkman and $-\text{curl}\Delta \text{curl}$ problems on cubical meshes

Qian Zhang, Min Zhang, Zhimin Zhang

We propose two families of nonconforming elements on cubical meshes: one for the $-\text{curl}\Delta \text{curl}$ problem and the other for the Brinkman problem. The element for the $-\t…