메뉴 건너뛰기




Volumn 92, Issue 4, 2002, Pages

Convergent adaptive finite elements for the nonlinear Laplacian

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036823525     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110100377     Document Type: Article
Times cited : (78)

References (24)
  • 2
    • 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), 75-102
    • (1984) Numer. Math. , vol.44 , pp. 75-102
    • Babuška, I.1    Vogelius, M.2
  • 3
    • 0001883660 scopus 로고
    • Estimateurs a posteriori d'Erreur pour le calcul adaptatif d'Écoulements quasi-newtoniens
    • J. Baranger and H. El Amri, Estimateurs a posteriori d'Erreur pour le calcul adaptatif d'Écoulements quasi-newtoniens. RAIRO, Modélisation Math. Anal. Numér. 25 (1991), 31-48
    • (1991) RAIRO, Modélisation Math. Anal. Numér , vol.25 , pp. 31-48
    • Baranger, J.1    El Amri, H.2
  • 4
    • 84968503817 scopus 로고
    • Finite element approximation of the p-Laplacian
    • J. W. Barrett and W. B. Liu, Finite element approximation of the p-Laplacian. Math. Comput. 61(1993), 523-537
    • (1993) Math. Comput. , vol.61 , pp. 523-537
    • Barrett, J.W.1    Liu, W.B.2
  • 5
    • 0028413859 scopus 로고
    • Finite element approximation of the parabolic p-Laplacian
    • J. W. Barrett and W. B. Liu, Finite element approximation of the parabolic p-Laplacian. SIAM J. Numer. Anal. 31 (1994), 413-428
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 413-428
    • Barrett, J.W.1    Liu, W.B.2
  • 6
    • 0001701058 scopus 로고    scopus 로고
    • A posteriori error estimates for elliptic problems in two and three space dimensions
    • F. A. Bornemann, B. Erdmann, and R. Kornhuber, A posteriori error estimates for elliptic problems in two and three space dimensions. SIAM J. Numer. Anal. 33 (1996), 1188-1204
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1188-1204
    • Bornemann, F.A.1    Erdmann, B.2    Kornhuber, R.3
  • 7
    • 0003210742 scopus 로고
    • The mathematical theory of finite element methods
    • Springer, New York
    • S. C. Brenner and L. R. Scott, The mathematical theory of finite element methods. Vol. 15 of Texts in Applied Mathematics, Springer, New York, 1994
    • (1994) Texts in Applied Mathematics , vol.15
    • Brenner, S.C.1    Scott, L.R.2
  • 8
    • 0000898818 scopus 로고
    • Finite element error estimates for nonlinear elliptic equations of monotone type
    • S.-S. Chow, Finite element error estimates for nonlinear elliptic equations of monotone type. Numer. Math. 54 (1989), 373-393
    • (1989) Numer. Math. , vol.54 , pp. 373-393
    • Chow, S.-S.1
  • 9
    • 0003204969 scopus 로고
    • The finite element methods for elliptic problems
    • North-Holland, Amsterdam
    • P. G. Ciarlet, The finite element methods for elliptic problems. Vol. 4 of Studies in Mathematics and its Applications, North-Holland, Amsterdam, 1978
    • (1978) Studies in Mathematics and its Applications , vol.4
    • Ciarlet, P.G.1
  • 12
    • 0029542613 scopus 로고
    • A robust adaptive strategy for the non-linear Poisson equation
    • W. Dörfler, A robust adaptive strategy for the non-linear Poisson equation. Computing 55 (1995), 289-304
    • (1995) Computing , vol.55 , pp. 289-304
    • Dörfler, W.1
  • 13
    • 1542639888 scopus 로고    scopus 로고
    • A convergent adaptive algorithm for Poisson's equation
    • W. Dörfler, A convergent adaptive algorithm for Poisson's equation. SIAM J. Numer. Anal. 33(1996), 1106-1124
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1106-1124
    • Dörfler, W.1
  • 14
    • 0036013506 scopus 로고    scopus 로고
    • Small data oscillation implies the saturation assumption
    • DOI 10.1007/s002110100321
    • W. Dörfler and R. H. Nochetto, Small data oscillation implies the saturation assumption. Numer. Math. (2001), DOI 10.1007/s002110100321
    • (2001) Numer. Math.
    • Dörfler, W.1    Nochetto, R.H.2
  • 15
    • 0041952913 scopus 로고    scopus 로고
    • An adaptive finite element method for a linear elliptic equation with variable coefficients
    • W. Dörfler and O. Wilderotter, An adaptive finite element method for a linear elliptic equation with variable coefficients. ZAMM, 80 (2000), 481-491
    • (2000) ZAMM , vol.80 , pp. 481-491
    • Dörfler, W.1    Wilderotter, O.2
  • 16
    • 0016536442 scopus 로고
    • Sur l'approximation, par éléments finis d'ordre un, et la résolution, par pénalisation-dualité, d'Une classe de problèmes de Dirichlet non linéaires
    • R. Glowinski and A. Marrocco, Sur l'Approximation, par éléments finis d'Ordre un, et la résolution, par pénalisation-dualité, d'Une classe de problèmes de Dirichlet non linéaires. R.A.I.R.O. 9 (1975), 41-76
    • (1975) R.A.I.R.O. , vol.9 , pp. 41-76
    • Glowinski, R.1    Marrocco, A.2
  • 17
    • 0003312557 scopus 로고
    • Singularities in boundary value problems
    • Paris: Masson. Berlin: Springer-Verlag
    • P. Grisvard, Singularities in boundary value problems. No. 22 in Recherches en Mathematiques Appliquees, Paris: Masson. Berlin: Springer-Verlag, 1992
    • (1992) Recherches en Mathematiques Appliquees , vol.22
    • Grisvard, P.1
  • 18
    • 0032137221 scopus 로고    scopus 로고
    • Finite-dimensional approximation and coerciveness in a problem with p-Laplacian
    • P. Jebelean, Finite-dimensional approximation and coerciveness in a problem with p-Laplacian. Nonlinear Anal., Theory Methods Appl. 33 (1998), 253-259
    • (1998) Nonlinear Anal., Theory Methods Appl. , vol.33 , pp. 253-259
    • Jebelean, P.1
  • 19
    • 0034447334 scopus 로고    scopus 로고
    • Data oscillation and convergence of adaptive FEM
    • P. Morin, R. H. Nochetto, and K. G. Siebert, Data oscillation and convergence of adaptive FEM. SIAM J. Numer. Anal. 38 (2000), 466-488
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 466-488
    • Morin, P.1    Nochetto, R.H.2    Siebert, K.G.3
  • 23
    • 0003207769 scopus 로고    scopus 로고
    • A review of a posteriori error estimation and adaptive mesh-refinement techniques
    • John Wiley, Chichester
    • R. Verfürth, A review of a posteriori error estimation and adaptive mesh-refinement techniques. Advances in Numerical Mathematics, John Wiley, Chichester, 1996
    • (1996) Advances in Numerical Mathematics
    • Verfürth, R.1
  • 24
    • 0012969777 scopus 로고
    • Finite element approximations of solutions to p-harmonic equation with Dirichlet data
    • D. Wei, Finite element approximations of solutions to p-harmonic equation with Dirichlet data. Numer. Funct. Anal. Optimization 10 (1989), 1235-1251
    • (1989) Numer. Funct. Anal. Optimization , vol.10 , pp. 1235-1251
    • Wei, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.