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A family of even-order edge-oriented nonconforming finite elements in 2D with efficient locally conservative flux reconstruction
- Authors
- Jo, Gwanghyun; Park, Hyeokjoo
- Issue Date
- Oct-2025
- Publisher
- Elsevier Ltd
- Keywords
- Edge-oriented degrees of freedom; Flux reconstruction; Nonconforming finite elements
- Citation
- Computers and Mathematics with Applications, v.196, pp 127 - 134
- Pages
- 8
- Indexed
- SCIE
SCOPUS
- Journal Title
- Computers and Mathematics with Applications
- Volume
- 196
- Start Page
- 127
- End Page
- 134
- ISSN
- 0898-1221
1873-7668
- Abstract
- In this paper, we propose a new family of edge-oriented even-order nonconforming finite elements in 2D. The proposed element has fewer degrees of freedom compared to the existing edge-oriented nonconforming elements, and preserves some attractive properties of the Crouzeix-Raviart element, such as the optimal approximation capability and the inf-sup stability. We also present an efficient H(div)-conforming flux reconstruction for the finite element discretization by the proposed element, which is possible due to its edge-oriented degrees of freedom. © 2025 Elsevier Ltd
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Related Researcher
- Jo, Gwanghyun
- ERICA 소프트웨어융합대학 (ERICA 수리데이터사이언스학과)