Some superconvergence results of high-degree finite element method for a second order elliptic equation with variable coefficients

• Autorzy: Xiaofei Guan , Mingxia Li , Wenming He , Zhengwu Jiang
• Języki publikacji: EN

Abstrakty

EN

In this paper, some superconvergence results of high-degree finite element method are obtained for solving a second order elliptic equation with variable coefficients on the inner locally symmetric mesh with respect to a point x 0 for triangular meshes. By using of the weak estimates and local symmetric technique, we obtain improved discretization errors of O(h p+1 |ln h|2) and O(h p+2 |ln h|2) when p (≥ 3) is odd and p (≥ 4) is even, respectively. Meanwhile, the results show that the combination of the weak estimates and local symmetric technique is also effective for superconvergence analysis of the second order elliptic equation with variable coefficients.

Słowa kluczowe

EN

Second order elliptic problem; High-degree triangular element; Superconvergence; Local symmetric technique; Weak estimates

Kategorie tematyczne

• 65N30: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
• 65N15: Error bounds

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 11
• Strony: 1733-1747

Daty

wydano

2014-11-01

online

2014-06-29

Twórcy

autor

Xiaofei Guan

• Tongji University

autor

Mingxia Li

• China University of Geosciences (Beijing)

autor

Wenming He

• Wenzhou University

autor

Zhengwu Jiang

• Tongji University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-014-0440-z