메뉴 건너뛰기




Volumn 103, Issue 2, 2006, Pages 251-266

Convergence analysis of an adaptive nonconforming finite element method

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33645521405     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-005-0658-6     Document Type: Article
Times cited : (77)

References (30)
  • 1
    • 0039070948 scopus 로고
    • A posteriori error estimator for nonconforming finite element methods
    • Agouzal, A.: A posteriori error estimator for nonconforming finite element methods. Appl. Math. Lett. 7, 1017-1033 (1994)
    • (1994) Appl. Math. Lett. , vol.7 , pp. 1017-1033
    • Agouzal, A.1
  • 2
    • 29144440979 scopus 로고    scopus 로고
    • Robust a posteriori error estimation for non-conforming finite element approximation
    • Ainsworth, M.: Robust a posteriori error estimation for non-conforming finite element approximation. SIAM J Numer. Anal. 42 (2005) no 6, 2320-2341.
    • (2005) SIAM J Numer. Anal. , vol.42 , Issue.6 , pp. 2320-2341
    • Ainsworth, M.1
  • 5
    • 33645518990 scopus 로고    scopus 로고
    • Three Matlab implementations of the lowest-order Raviart-Thomas MFEM with a posteriori error control
    • Bahriawati, C., Carstensen, C.: Three Matlab implementations of the lowest-order Raviart-Thomas MFEM with a posteriori error control. Computational Methods in Applied Mathematics. Vol 5 (2005) No 4, 333-361
    • (2005) Computational Methods in Applied Mathematics , vol.5 , Issue.4 , pp. 333-361
    • Bahriawati, C.1    Carstensen, C.2
  • 6
    • 10444275414 scopus 로고    scopus 로고
    • Adaptive finite element methods for differential equations
    • ETH-Zürich. Birkhäuser, Basel
    • Bangerth, W.. Rannacher, R.: Adaptive finite element methods for differential equations. Lectures in Mathematics. ETH-Zürich. Birkhäuser, Basel. 2003
    • (2003) Lectures in Mathematics
    • Bangerth, W.1    Rannacher, R.2
  • 7
    • 2442452617 scopus 로고    scopus 로고
    • Adaptive finite element methods with convergence rates
    • Binev, P., Dahmen, W.. DeVore. R.: Adaptive finite element methods with convergence rates. Numer. Math. 97, 219-268 (2004)
    • (2004) Numer. Math. , vol.97 , pp. 219-268
    • Binev, P.1    Dahmen, W.2    DeVore, R.3
  • 8
    • 0003854283 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • Braess, D.: Finite elements. Cambridge University Press, Cambridge, 1997
    • (1997) Finite Elements
    • Braess, D.1
  • 9
    • 0025476533 scopus 로고
    • Multigrid methods for nonconforming finite element methods
    • Braess, D., Verfürth, R.: Multigrid methods for nonconforming finite element methods. SIAM J. Numer. Anal. 27, 979-986 (1990)
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 979-986
    • Braess, D.1    Verfürth, R.2
  • 10
    • 84966223980 scopus 로고
    • An optimal order multigrid method for nonconforming finite elements
    • Brenner, S.: An optimal order multigrid method for nonconforming finite elements. Math. Comp.52, 1-15(1989)
    • (1989) Math. Comp. , vol.52 , pp. 1-15
    • Brenner, S.1
  • 14
    • 0036340806 scopus 로고    scopus 로고
    • Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. I. Low order conforming, nonconforming and mixed FEM
    • Carstensen, C., Bartels. S.: Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. I. Low order conforming, nonconforming and mixed FEM. Math. Comp. 71(239), 945-969 (2002)
    • (2002) Math. Comp. , vol.71 , Issue.239 , pp. 945-969
    • Carstensen, C.1    Bartels, S.2
  • 15
    • 0035982256 scopus 로고    scopus 로고
    • A posteriori error estimates for nonconforming finite element methods
    • Carstensen, C., Bartels. S., Jansche, S.: A posteriori error estimates for nonconforming finite element methods. Numer. Math. 92. 233-256 (2002)
    • (2002) Numer. Math. , vol.92 , pp. 233-256
    • Carstensen, C.1    Bartels, S.2    Jansche, S.3
  • 17
    • 33645512925 scopus 로고    scopus 로고
    • Error reduction and convergence for an adaptive mixed finite element method
    • To appear
    • Carstensen. C., Hoppe. R.H.W.: Error reduction and convergence for an adaptive mixed finite element method. To appear in Math. Comp. (2006)
    • (2006) Math. Comp.
    • Carstensen, C.1    Hoppe, R.H.W.2
  • 19
    • 0040517608 scopus 로고    scopus 로고
    • A posteriori error estimators for nonconforming finite element methods
    • Dari, E., Duran, R., Padra. C., Vampa, V.: A posteriori error estimators for nonconforming finite element methods. RAIRO Model. Math. Anal. Numer. 30. 385-400 (1996)
    • (1996) RAIRO Model. Math. Anal. Numer. , vol.30 , pp. 385-400
    • Dari, E.1    Duran, R.2    Padra, C.3    Vampa, V.4
  • 20
    • 1542639888 scopus 로고    scopus 로고
    • A convergent adaptive algorithm for Poisson's equation
    • Dörfler, W.: A convergent adaptive algorithm for Poisson's equation. SIAM J. Numer. Anal. 33(3). 1106-1124(1996)
    • (1996) SIAM J. Numer. Anal. , vol.33 , Issue.3 , pp. 1106-1124
    • Dörfler, W.1
  • 22
    • 0029516846 scopus 로고
    • Adaptive multilevel iterative techniques for nonconforming finite element discretizations
    • Hoppe, R.H.W., Wohlmuth, B.: Adaptive multilevel iterative techniques for nonconforming finite element discretizations. East-West J. Numer. Math. 3, 179-197 (1995)
    • (1995) East-West J. Numer. Math. , vol.3 , pp. 179-197
    • Hoppe, R.H.W.1    Wohlmuth, B.2
  • 23
    • 0039924017 scopus 로고    scopus 로고
    • Element-oriented and edge-oriented local error estimators for nonconforming finite element methods
    • Hoppe. R.H.W., Wohlmuth. B.: Element-oriented and edge-oriented local error estimators for nonconforming finite element methods. RAIRO Model. Math. Anal. Numer 30. 237-263 (1996)
    • (1996) RAIRO Model. Math. Anal. Numer , vol.30 , pp. 237-263
    • Hoppe, R.H.W.1    Wohlmuth, B.2
  • 24
    • 0001570723 scopus 로고    scopus 로고
    • A posteriori error estimates for nonconforming finite element schemes
    • Kanschat, G., Suttmeier, F.-T.: A posteriori error estimates for nonconforming finite element schemes. Calcolo 36. 129-141 (1999)
    • (1999) Calcolo , vol.36 , pp. 129-141
    • Kanschat, G.1    Suttmeier, F.-T.2
  • 25
    • 0022077278 scopus 로고
    • An inexpensive method for the evaluation of the solution of the lowest order Raviart-Thomas mixed method
    • Marini, L.D.: An inexpensive method for the evaluation of the solution of the lowest order Raviart-Thomas mixed method. SIAM J. Numer. Anal. 22(3), 493-496 (1985)
    • (1985) SIAM J. Numer. Anal. , vol.22 , Issue.3 , pp. 493-496
    • Marini, L.D.1
  • 26
    • 0034447334 scopus 로고    scopus 로고
    • Data oscillation and convergence of adaptive FEM
    • Morin, P., Nochetto, R.H., Siebert. K.G.: Data oscillation and convergence of adaptive FEM. SIAM J. Numer. Anal. 38(2), 466-488 (2000)
    • (2000) SIAM J. Numer. Anal. , vol.38 , Issue.2 , pp. 466-488
    • Morin, P.1    Nochetto, R.H.2    Siebert, K.G.3
  • 27
    • 0038129722 scopus 로고    scopus 로고
    • Local problems on stars: A posteriori error estimators, convergence, and performance
    • Morin. P., Nochetto. R.H., Siebert, K.G.: Local problems on stars: a posteriori error estimators, convergence, and performance. Math. Comp. 72(243), 1067-1097 (2003)
    • (2003) Math. Comp. , vol.72 , Issue.243 , pp. 1067-1097
    • Morin, P.1    Nochetto, R.H.2    Siebert, K.G.3
  • 28
    • 0012533391 scopus 로고
    • On a hierarchical basis multilevel method with nonconforming PI elements
    • Oswald, P.: On a hierarchical basis multilevel method with nonconforming PI elements. Numer. Math. 62, 189-212 (1992)
    • (1992) Numer. Math. , vol.62 , pp. 189-212
    • Oswald, P.1
  • 29
    • 0036337938 scopus 로고    scopus 로고
    • A posteriori error estimates with post-processing for nonconforming finite elements
    • Schieweck, F.: A posteriori error estimates with post-processing for nonconforming finite elements. ESAIM Math. Mod. Numer. Anal. 36, 489-503 (2002)
    • (2002) ESAIM Math. Mod. Numer. Anal. , vol.36 , pp. 489-503
    • Schieweck, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.