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Volumn 33, Issue 3, 1996, Pages 1106-1124

A convergent adaptive algorithm for Poisson's equation

Author keywords

A posteriori error estimator; Adaptive mesh refinement; Poisson's equation

Indexed keywords


EID: 1542639888     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/0733054     Document Type: Article
Times cited : (1205)

References (17)
  • 1
  • 2
    • 34250882899 scopus 로고
    • Local mesh refinement in 2 and 3 dimensions
    • E. BÄNSCH, Local mesh refinement in 2 and 3 dimensions, Impact Comput. Sci. Engrg., 3 (1991), pp. 181-191.
    • (1991) Impact Comput. Sci. Engrg. , vol.3 , pp. 181-191
    • Bänsch, E.1
  • 3
    • 84966234195 scopus 로고
    • Parallel multilevel preconditioned
    • J. H. BRAMBLE, J. E. PASCIAK, and J. XU, Parallel multilevel preconditioned, Math. Comp., 55 (1990), pp. 1-22.
    • (1990) Math. Comp. , vol.55 , pp. 1-22
    • Bramble, J.H.1    Pasciak, J.E.2    Xu, J.3
  • 4
    • 0000613724 scopus 로고
    • Error estimators for adaptive finite element computations
    • I. BABUŠKA AND W. C. RHEINBOLDT, Error estimators for adaptive finite element computations, SIAM J. Numer. Anal., 15 (1978), pp. 736-754.
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 736-754
    • Babuška, I.1    Rheinboldt, W.C.2
  • 5
    • 0001772076 scopus 로고
    • Feedback and adaptive finite element solution of one-dimensional boundary value problems
    • I. BABUŠKA and M. VOGELIUS, Feedback and adaptive finite element solution of one-dimensional boundary value problems, Numer. Math., 44 (1984), pp. 75-102.
    • (1984) Numer. Math. , vol.44 , pp. 75-102
    • Babuška, I.1    Vogelius, M.2
  • 6
    • 84966215690 scopus 로고
    • Some a priori error estimators for elliptic partial differential equations
    • R. E. BANK AND A. WEISSER, Some a priori error estimators for elliptic partial differential equations, Math. Comp., 44 (1985), pp. 283-301.
    • (1985) Math. Comp. , vol.44 , pp. 283-301
    • Bank, R.E.1    Weisser, A.2
  • 8
    • 0016541865 scopus 로고
    • Approximation by finite element functions using local regularizations
    • P. CLÉMENT, Approximation by finite element functions using local regularizations, RAIRO Modél. Math. Anal. Numér., 2 (1975), pp. 77-84.
    • (1975) RAIRO Modél. Math. Anal. Numér. , vol.2 , pp. 77-84
    • Clément, P.1
  • 9
    • 1542782273 scopus 로고
    • On an adaptive grid refinement technique for finite element approximations
    • H. JARAUSCH, On an adaptive grid refinement technique for finite element approximations, SIAM J. Sci. Statist. Comput., 7 (1986), pp. 1105-1120.
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , pp. 1105-1120
    • Jarausch, H.1
  • 10
    • 0025488567 scopus 로고
    • Adaptive finite element methods for diffusion and convection problems
    • C. JOHNSON, Adaptive finite element methods for diffusion and convection problems, Comput. Methods Appl. Mech. Engrg., 82 (1990), pp. 301-322.
    • (1990) Comput. Methods Appl. Mech. Engrg. , vol.82 , pp. 301-322
    • Johnson, C.1
  • 12
    • 0024883616 scopus 로고
    • A comparison of adaptive refinement techniques for elliptic problems
    • W. F. MITCHELL, A comparison of adaptive refinement techniques for elliptic problems, ACM Trans. Math. Software, 15 (1989), pp. 327-346.
    • (1989) ACM Trans. Math. Software , vol.15 , pp. 327-346
    • Mitchell, W.F.1
  • 15
    • 0028387701 scopus 로고
    • Quasi-Random methods for estimating integrals using relatively small samples
    • J. SPANIER and E. H. MAIZE, Quasi-Random methods for estimating integrals using relatively small samples, SIAM Rev., 36 (1994), pp. 18-44.
    • (1994) SIAM Rev. , vol.36 , pp. 18-44
    • Spanier, J.1    Maize, E.H.2
  • 16
    • 0028423814 scopus 로고
    • A posteriori error estimation and adaptive mesh-refinement techniques
    • R. VERFÜRTH, A posteriori error estimation and adaptive mesh-refinement techniques, J. Comput. Appl. Math., 50 (1994), pp. 67-83.
    • (1994) J. Comput. Appl. Math. , vol.50 , pp. 67-83
    • Verfürth, R.1
  • 17
    • 0008441151 scopus 로고
    • Hierarchical finite element approaches, error estimators and adaptive refinement
    • J. R. Whiteman, ed., Academic Press, London
    • O. C. ZIENKIEWICZ, D. W. KELLY, J. GAGO, AND I. BABUŠKA, Hierarchical finite element approaches, error estimators and adaptive refinement, in The Mathematics of Finite Elements and Applications IV, J. R. Whiteman, ed., Academic Press, London, 1982, pp. 313-346.
    • (1982) The Mathematics of Finite Elements and Applications IV , vol.4 , pp. 313-346
    • Zienkiewicz, O.C.1    Kelly, D.W.2    Gago, J.3    Babuška, I.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.