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

Gwanghyun Jo and J. H. Kim

Journal of Applied Mathematics, 2020, vol. 2020, 1-8

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:2684630

DOI: 10.1155/2020/2684630

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