Abstract
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.
Citation
Gwanghyun Jo. J. H. Kim. "A Framework for Nonconforming Mixed Finite Element Method for Elliptic Problems in ." J. Appl. Math. 2020 1 - 8, 2020. https://doi.org/10.1155/2020/2684630