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Czasopismo

2014 | 12 | 11 | 1733-1747

Tytuł artykułu

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

Treść / Zawartość

Warianty tytułu

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.

Wydawca

Czasopismo

Rocznik

Tom

12

Numer

11

Strony

1733-1747

Opis fizyczny

Daty

wydano
2014-11-01
online
2014-06-29

Twórcy

autor
  • Tongji University
autor
  • China University of Geosciences (Beijing)
autor
  • Wenzhou University
  • Tongji University

Bibliografia

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  • [16] Schatz A.H., Sloan I.H., Wahlbin L.B., Superconvergence in finite element methods and meshes that are locally symmetric with respect to a point, SIAM J. Numer. Anal., 1996, 33, 505–521 http://dx.doi.org/10.1137/0733027
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Typ dokumentu

Bibliografia

Identyfikatory

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bwmeta1.element.doi-10_2478_s11533-014-0440-z
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