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

Autor: Gwanghyun Jo, J. H. Kim
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Journal of Applied Mathematics, Vol 2020 (2020)
Druh dokumentu: article
ISSN: 1110-757X
1687-0042
DOI: 10.1155/2020/2684630
Popis: 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.
Databáze: Directory of Open Access Journals
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