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Volumn 96, Issue 4, 2004, Pages 691-721

A posteriori error analysis for elliptic pdes on domains with complicated structures

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Indexed keywords


EID: 1542508693     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-003-0495-4     Document Type: Article
Times cited : (18)

References (17)
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    • Brenner, S.C.1    Scott, L.R.2
  • 2
    • 0036340806 scopus 로고    scopus 로고
    • Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming and Mixed FEM
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    • [CB] Carstensen, C., Bartels, S.: Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming and Mixed FEM. Math. Comp. 71, 945-969 (2002)
    • (2002) Math. Comp. , vol.71 , pp. 945-969
    • Carstensen, C.1    Bartels, S.2
  • 3
    • 0034483495 scopus 로고    scopus 로고
    • Constants in Clément-interpolation error and residual-based a posteriori error estimates in Finite Element Methods
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    • [CF] Carstensen, C., Funken, S.A.: Constants in Clément-interpolation error and residual-based a posteriori error estimates in Finite Element Methods. East-West J. Numer. Anal. 8, 153-175 (2000)
    • (2000) East-west J. Numer. Anal. , vol.8 , pp. 153-175
    • Carstensen, C.1    Funken, S.A.2
  • 6
    • 0016541865 scopus 로고
    • Approximation by finite element functions using local regularization
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    • [Cl] Clément, P.: Approximation by finite element functions using local regularization. RAIRO Sér. Rouge Anal. Numér. R-2, 77-84 (1975)
    • (1975) RAIRO Sér. Rouge Anal. Numér. , vol.R-2 , pp. 77-84
    • Clément, P.1
  • 7
    • 0040531669 scopus 로고    scopus 로고
    • An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation
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    • [DR] Dörfler, W., Rumpf, M.: An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation. Math. Comp. 67, 1361-1382 (1998)
    • (1998) Math. Comp. , vol.67 , pp. 1361-1382
    • Dörfler, W.1    Rumpf, M.2
  • 9
    • 0031538248 scopus 로고    scopus 로고
    • Composite finite elements for the approximation of PDEs on domains with complicated micro-structures
    • [HS1]
    • [HS1] Hackbusch, W., Sauter, S.A.: Composite finite elements for the approximation of PDEs on domains with complicated micro-structures. Numer. Math. 75, 447-472 (1997)
    • (1997) Numer. Math. , vol.75 , pp. 447-472
    • Hackbusch, W.1    Sauter, S.A.2
  • 10
    • 0009595950 scopus 로고    scopus 로고
    • Composite finite elements for problems containing small geometric details. Part II: Implementation and numerical results
    • [HS2]
    • [HS2] Hackbusch, W., Sauter, S.A.: Composite finite elements for problems containing small geometric details. Part II: Implementation and numerical results. Comput. Visual. Sci. 1, 15-25 (1997)
    • (1997) Comput. Visual. Sci. , vol.1 , pp. 15-25
    • Hackbusch, W.1    Sauter, S.A.2
  • 12
    • 0031331273 scopus 로고    scopus 로고
    • Hierarchical and adaptive visualization on nested grids
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    • [OR] Ohlberger, M., Rumpf, M.: Hierarchical and adaptive visualization on nested grids. Computing 59, 365-385 (1997)
    • (1997) Computing , vol.59 , pp. 365-385
    • Ohlberger, M.1    Rumpf, M.2
  • 14
    • 34250943125 scopus 로고
    • An optimal Poincaré-inequality for convex domains
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    • [PW] Payne, L.E., Weinberger, H.F.: An optimal Poincaré-inequality for convex domains. Archiv Rat. Mech. Anal. 5, 286-292 (1960)
    • (1960) Archiv Rat. Mech. Anal. , vol.5 , pp. 286-292
    • Payne, L.E.1    Weinberger, H.F.2
  • 15
    • 0032629005 scopus 로고    scopus 로고
    • Extension operators and approximation on domains containing small geometric details
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    • [SW] Sauter, S.A., Warnke, R.: Extension operators and approximation on domains containing small geometric details. East-West J. Numer. Math. 7, 61-78 (1999)
    • (1999) East-west J. Numer. Math. , vol.7 , pp. 61-78
    • Sauter, S.A.1    Warnke, R.2
  • 17
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    • A review of a posteriori error estimation and adaptive mesh-refinement techniques
    • [V] B.G. Wiley-Teubner, Stuttgart
    • [V] Verfürth, R.: A review of a posteriori error estimation and adaptive mesh-refinement techniques. Teubner Skripten zur Numerik. B.G. Wiley-Teubner, Stuttgart, 1996
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    • Verfürth, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.