A Morley Type Triangular Finite Element with High Convergence for the Biharmonic Problem

Yuan Bao () and Sibo Yang
Additional contact information
Yuan Bao: School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China
Sibo Yang: School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China

Mathematics, 2024, vol. 12, issue 20, 1-13

Abstract: In this work, we construct a theoretical framework to develop non C 0 Morley type nonconforming high-convergence elements for biharmonic problems. For each element domain, P 3 should be included in the space of shape functions. Besides the degrees of freedom of Morley elements, we add the integrals and first-order moments of the normal derivatives on edges. The choice of degrees of freedom and shape function space guarantees the possibility of improving the convergence order. As an application, we specifically construct a Morley type element on triangular meshes. Lastly, numerical experiments are carried out to verify the feasibility of the element.

Keywords: biharmonic problem; Morley type element; high convergence; nonconforming element (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/20/3199/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/20/3199/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:20:p:3199-:d:1497398

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().