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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.8 No.2
- 발행연도
- 2004.12
- 수록면
- 23 - 38 (16page)
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초록· 키워드
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We consider finite element methods applied to a class of quasi para-bolic integro-differential equations in R<SUP>d</SUP>. Global strong superconvergence, which only requires that partitions are quasi-uniform, is investigated for the error between the approximate solution and the Sobolev-Volterra projection of the exact solution. Two order superconvergence results are demonstrated in W<SUP>1,p</SUP>(Ω) and L<SUB>p</SUB>(Ω), for 2 ≤ p ≤ ∞.
목차
ABSTRACT
1. Introduction
2. Finite-Element Formulations And Sobolev-Volterra Projection
3. Superconvergence In W1,p(Ω) And Lp(Ω)
REFERENCES
참고문헌 (10)
참고문헌 신청
[학술지(정기간행물)] - / 2000. / Lp error estimates and superconvergence for nite element approximations fornonliear parabolic problems 4 (1) : 67 ~ 77
[학술지(정기간행물)] - / 1990 / A Ritz-Volterra projection to nite-element spaces andapproximations to integro-dierential and related equations 27 : 250014 ~
[학술지(정기간행물)] - / 2001 / The numerical analysis for the nite element of the Sobolev-Volterra projection and integro-dierential equation
[학술지(정기간행물)] - / 1993 / The global solution of the nonlinear integro-dierential equations. ACTA mathematicapplicatae sinica
[학술지(정기간행물)] - / 2000 / Superconvergence of a nite element methods for linear integro-dierential problems 23 (3) : 595 ~ 607
[학술지(정기간행물)] - / 1990 / A Ritz-Volterra projection to nite-element spaces andapproximations to integro-dierential and related equations 27 : 250014 ~
[학술지(정기간행물)] - / 2001 / The numerical analysis for the nite element of the Sobolev-Volterra projection and integro-dierential equation
[학술지(정기간행물)] - / 1993 / The global solution of the nonlinear integro-dierential equations. ACTA mathematicapplicatae sinica
[학술지(정기간행물)] - / 2000 / Superconvergence of a nite element methods for linear integro-dierential problems 23 (3) : 595 ~ 607
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UCI(KEPA) : I410-ECN-0101-2009-410-014676736