%0 Journal Article %T A Framework for Nonconforming Mixed Finite Element Method for Elliptic Problems in %A Jo %A Gwanghyun %A Kim %A J. H. %J - %D 2020 %R https://doi.org/10.1155/2020/2684630 %X In this paper, we suggest a new patch condition for nonconforming mixed finite elements (MFEs) on parallelepiped and provide a framework for the convergence. Also, we introduce a new family of nonconforming MFE space satisfying the new patch condition. The numerical experiments show that the new MFE shows optimal order convergence in and -norm for various problems with discontinuous coefficient case %U https://www.hindawi.com/journals/jam/2020/2684630/