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

Gwanghyun Jo and J. H. Kim

Journal of Applied Mathematics, 2020, vol. 2020, issue 1

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 H(div) and L2‐norm for various problems with discontinuous coefficient case.

Date: 2020
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https://doi.org/10.1155/2020/2684630

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2020:y:2020:i:1:n:2684630

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