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2020 A Framework for Nonconforming Mixed Finite Element Method for Elliptic Problems in 3
Gwanghyun Jo, J. H. Kim
J. Appl. Math. 2020(none): 1-8 (2020). DOI: 10.1155/2020/2684630

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 L 2 -norm for various problems with discontinuous coefficient case.

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Gwanghyun Jo. J. H. Kim. "A Framework for Nonconforming Mixed Finite Element Method for Elliptic Problems in 3 ." J. Appl. Math. 2020 1 - 8, 2020. https://doi.org/10.1155/2020/2684630

Information

Received: 11 September 2019; Accepted: 11 March 2020; Published: 2020
First available in Project Euclid: 14 May 2020

zbMATH: 07195530
MathSciNet: MR4087065
Digital Object Identifier: 10.1155/2020/2684630

Rights: Copyright © 2020 Hindawi

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