A Framework for Nonconforming Mixed Finite Element Method for Elliptic Problems in ℝ3

الملخص EN

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 Hdiv and L2-norm for various problems with discontinuous coefficient case.