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Volumn 16, Issue 3, 1998, Pages 213-220

A multi-parameter splitting extrapolation and a parallel algorithm for elliptic eigenvalue problem

Author keywords

Finite element; Multi parameter error expansion; Parallel algorithm; Splitting extrapolation

Indexed keywords


EID: 0038439309     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (11)

References (21)
  • 2
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    • H. Blum, Q. Lin, R. Rannacher, Asymptotic error expansion and Richardson extrapolation for linear finite elements, Numer. Math., 49 (1986), 11-37.
    • (1986) Numer. Math. , vol.49 , pp. 11-37
    • Blum, H.1    Lin, Q.2    Rannacher, R.3
  • 4
    • 0002230465 scopus 로고
    • 1 Fehlerabschä tzuny für diskrete Grundlösungen in der Methode der finiten elemente
    • 1 Fehlerabschä tzuny für diskrete Grundlösungen in der Methode der finiten elemente, Bonn. Math. Schr., 89 (1976), 92-114.
    • (1976) Bonn. Math. Schr. , vol.89 , pp. 92-114
    • Frehse, J.1    Rannacher, J.R.2
  • 5
    • 12944290647 scopus 로고
    • An integral identity and interpolated postprocess in superconvergence
    • Inst. of Sys. Sci., Academia Sinica
    • Q. Lin, An integral identity and interpolated postprocess in superconvergence, Research Report 90-07, Inst. of Sys. Sci., Academia Sinica, 1990.
    • (1990) Research Report , vol.90 , Issue.7
    • Lin, Q.1
  • 6
    • 33746290196 scopus 로고
    • Asymptotic expansions with higher order remainder for finit element eigenvalue problems
    • Y. Huang, Asymptotic expansions with higher order remainder for finit element eigenvalue problems, Natural Science J. of Xiangtan Univ., 10:1 (1988).
    • (1988) Natural Science J. of Xiangtan Univ. , vol.10 , Issue.1
    • Huang, Y.1
  • 7
    • 0008352286 scopus 로고
    • The splitting extrapolation method for multidimensional problems
    • Q. Lin, T. Lü, The splitting extrapolation method for multidimensional problems, J. Comp. Math., 1 (1983), 45-51.
    • (1983) J. Comp. Math. , vol.1 , pp. 45-51
    • Lin, Q.1    Lü, T.2
  • 8
    • 0012392701 scopus 로고
    • Asymptotic expansions for finite element approximations
    • Inst. of Math. Sci., Chengdu Branch of Academia Sinica
    • Q. Lin, T. Lü, S.M. Shen, Asymptotic expansions for finite element approximations, Research Report IMS-11, Inst. of Math. Sci., Chengdu Branch of Academia Sinica, (1983), 1-6.
    • (1983) Research Report IMS-11 , pp. 1-6
    • Lin, Q.1    Lü, T.2    Shen, S.M.3
  • 9
    • 33746306493 scopus 로고
    • Some advances in the study of error expansion for the finit elements, I. Eigenvalue error expansion
    • Q. Lin, R.F. Xie, Some advances in the study of error expansion for the finit elements, I. Eigenvalue error expansion, J. Comput. Math., 6 (1988), 68-79.
    • (1988) J. Comput. Math. , vol.6 , pp. 68-79
    • Lin, Q.1    Xie, R.F.2
  • 10
    • 0001211375 scopus 로고
    • A rectangle test for interpolated finite elements
    • Q. Lin, N. Yan, A. Zhou, A rectangle test for interpolated finite elements, J. Comput. Math. ibid., (1991), 217-229.
    • (1991) J. Comput. Math. , pp. 217-229
    • Lin, Q.1    Yan, N.2    Zhou, A.3
  • 11
    • 0003143744 scopus 로고
    • Unidirectional extrapolation of finit difference and finit elements
    • Q. Lin, Q.D. Zhu, Unidirectional extrapolation of finit difference and finit elements, J. Eng. Math., 2 (1984), 1-12.
    • (1984) J. Eng. Math. , vol.2 , pp. 1-12
    • Lin, Q.1    Zhu, Q.D.2
  • 13
    • 0008328225 scopus 로고
    • An analysis of splitting extrapolation for multidimensional problems
    • T. Lü, T.M. Shih, C.B. Liem An analysis of splitting extrapolation for multidimensional problems, J. Sys. Sci. & Math. Scis., 3 (1990), 261-272.
    • (1990) J. Sys. Sci. & Math. Scis. , vol.3 , pp. 261-272
    • Lü, T.1    Shih, T.M.2    Liem, C.B.3
  • 15
    • 0008317386 scopus 로고
    • Acceleration of the covergence in finite difference methods by predictor corrector and splitting extrapolation methods
    • P. Neittaanmaki, Q. Lin, Acceleration of the covergence in finite difference methods by predictor corrector and splitting extrapolation methods, J. Comp. Math., 5 (1987), 181-190.
    • (1987) J. Comp. Math. , vol.5 , pp. 181-190
    • Neittaanmaki, P.1    Lin, Q.2
  • 18
    • 0040581485 scopus 로고
    • Sparse grids
    • Parallel Algorithm for Partial Differential Equations, Braunschweig, Vieweg-Verlag
    • th GAMM-Seminar, Braunschweig, Vieweg-Verlag, 1991.
    • (1991) th GAMM-Seminar
    • Zenger, C.1
  • 21
    • 0040609120 scopus 로고    scopus 로고
    • see also Systems Sci. & Math. Scis., 10, 3(1997), 253-260.
    • (1997) Systems Sci. & Math. Scis. , vol.10 , Issue.3 , pp. 253-260


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.