Convergence Analysis of Carey Nonconforming Finite Element for the Second-Order Elliptic Problem with the Lowest Regularity

Convergence Analysis of Carey Nonconforming Finite Element for the Second-Order Elliptic Problem with the Lowest Regularity

In this paper, the Carey nonconforming finite element method (NFEM) for the second order elliptic problem is discussed. By means of the different techniques from the existing literatures, the non-uniform and uniform convergences are obtained only under the lowest regularity assumption on the solutio...

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Veröffentlicht in:Russian physics journal 2021, Vol.64 (2), p.246-254
Hauptverfasser: Shi, Dongwei, CaixiaWang
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Anisotropy
Condensed Matter Physics
Convergence
Finite element method
Hadrons
Heavy Ions
Lasers
Mathematical and Computational Physics
Nuclear Physics
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Regularity
Theoretical
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Zusammenfassung:In this paper, the Carey nonconforming finite element method (NFEM) for the second order elliptic problem is discussed. By means of the different techniques from the existing literatures, the non-uniform and uniform convergences are obtained only under the lowest regularity assumption on the solution u ∈ H 0 1 Ω .
ISSN:1064-8887
1573-9228
DOI:10.1007/s11182-021-02322-5