Nonconforming vector finite elements for

We present a family of nonconforming vector finite elements of arbitrary order for problems posed on the space H ( curl ; Ω ) ∩ H ( div ; Ω ) , where Ω ⊂ R 2 . This result was first stated as a conjecture by Brenner and Sung (2009) [1]. In contrast an extension of the same conjecture to domains of R 3 is disproved.