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Numerische Mathematik
Volumn 104, Issue 2, 2006, Pages 129-150
Interpolation error estimates in W1,p for degenerate Q 1 isoparametric elements
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EID: 33748851701     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-006-0018-1     Document Type: Article
Times cited : (6)
References (13)
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    • Acosta, G.1    Durán, R.G.2
  • 2
    • 0034432604 scopus 로고    scopus 로고
    • 1 isoparametric elements satisfying a weak angle condition
    • 1 isoparametric elements satisfying a weak angle condition. SIAM J. Numer. Anal. 38, 1073-1088 (2000)
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 1073-1088
    • Acosta, G.1    Durán, R.G.2
  • 4
    • 0003267718 scopus 로고    scopus 로고
    • Anisotropic finite elements: Local estimates and applications
    • B. G. Teubner, Stuttgart, Leipzig
    • Apel, T.: Anisotropic finite elements: local estimates and applications. Advances in numerical mathematics. B. G. Teubner, Stuttgart, Leipzig (1999)
    • (1999) Advances in Numerical Mathematics
    • Apel, T.1
  • 5
    • 0016939764 scopus 로고
    • On the angle condition in the finite element method
    • Babuška, I., Aziz, A.K.: On the angle condition in the finite element method. SIAM J. Numer. Anal. 13, 214-226 (1976)
    • (1976) SIAM J. Numer. Anal. , vol.13 , pp. 214-226
    • Babuška, I.1    Aziz, A.K.2
  • 6
    • 0345325406 scopus 로고    scopus 로고
    • The mathematical theory of finite element methods 2nd edn
    • Springer,Berlin Heidelberg Newyork
    • Brenner S.C., Scott R.L.: The mathematical theory of finite element methods 2nd edn. Text in applied mathematics 15. Springer,Berlin Heidelberg Newyork (2002)
    • (2002) Text in Applied Mathematics , vol.15
    • Brenner, S.C.1    Scott, R.L.2
  • 7
    • 0001043045 scopus 로고
    • Interpolation theory over curved elements, with applications to finite elements methods
    • Ciarlet, P.G., Raviart, P.A.: Interpolation theory over curved elements, with applications to finite elements methods. Comput. Methods Appl. Mech. Eng.1, 217-249 (1972)
    • (1972) Comput. Methods Appl. Mech. Eng. , vol.1 , pp. 217-249
    • Ciarlet, P.G.1    Raviart, P.A.2
  • 8
    • 0002650030 scopus 로고
    • Estimations d'erreur pour des éléments finis droits presque dégénérés
    • Jamet, P.: Estimations d'erreur pour des éléments finis droits presque dégénérés. RAIRO Anal. Numér. 10,46-61 (1976)
    • (1976) RAIRO Anal. Numér. , vol.10 , pp. 46-61
    • Jamet, P.1
  • 9
    • 0002801202 scopus 로고
    • Estimation of the interpolation error for quadrilateral finite elements which can degenerate into triangles
    • Jamet, P.: Estimation of the interpolation error for quadrilateral finite elements which can degenerate into triangles, SIAM J. Numer. Anal. 14, 925-930 (1977)
    • (1977) SIAM J. Numer. Anal. , vol.14 , pp. 925-930
    • Jamet, P.1
  • 11
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    • An optimal Poincaré inequality for convex domains
    • Payne, L. E., Weinberger, H.F.: An optimal Poincaré inequality for convex domains. Arch. Rat. Mech. Anal. 5, 286-292 (1960)
    • (1960) Arch. Rat. Mech. Anal. , vol.5 , pp. 286-292
    • Payne, L.E.1    Weinberger, H.F.2
  • 12
    • 0033450371 scopus 로고    scopus 로고
    • Error estimates for some quasi-interpolation operator
    • Verfürth, R.: Error estimates for some quasi-interpolation operator. M2AN Math. Model. Numer. Anal. 33, 695-713 (1999)
    • (1999) M2AN Math. Model. Numer. Anal. , vol.33 , pp. 695-713
    • Verfürth, R.1
  • 13
    • 21844488705 scopus 로고
    • The interpolation theorem for narrow quadrilateral isoparametric finite elements
    • Zenisek, A., Vanmaele. M.: The interpolation theorem for narrow quadrilateral isoparametric finite elements. Numer. Math. 72, 123-141 (1995)
    • (1995) Numer. Math. , vol.72 , pp. 123-141
    • Zenisek, A.1    Vanmaele, M.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.