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A Framework for Nonconforming Mixed Finite Element Method for Elliptic Problems in R3open access
- Authors
- Jo,Gwanghyun; Kim, Ji-hyun
- Issue Date
- Apr-2020
- Publisher
- Hindawi Publishing Corporation
- Citation
- Journal of Applied Mathematics, pp 1 - 8
- Pages
- 8
- Indexed
- SCOPUS
- Journal Title
- Journal of Applied Mathematics
- Start Page
- 1
- End Page
- 8
- ISSN
- 1110-757X
1687-0042
- 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.
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Related Researcher
- Jo, Gwanghyun
- ERICA 소프트웨어융합대학 (ERICA 수리데이터사이언스학과)