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Volumn 100, Issue 4, 2005, Pages 565-592

Besov regularity and new error estimates for finite volume approximations of the p-laplacian

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EID: 21544432174     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-005-0591-8     Document Type: Article
Times cited : (12)

References (13)
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    • (2004) M2AN Math. Model. Numer. Anal. , vol.38 , Issue.6 , pp. 931-960
    • Andreianov, B.1    Boyer, F.2    Hubert, F.3
  • 2
    • 21544454029 scopus 로고    scopus 로고
    • "Duplex" finite volume schemes for nonlinear elliptic problems on general 2D meshes
    • To appear, (Marrakech)
    • Andreianov, B., Boyer, F., Hubert, F.: "Duplex" finite volume schemes for nonlinear elliptic problems on general 2D meshes. To appear in Finite Volumes for Complex Applications, IV (Marrakech), 2005
    • (2005) Finite Volumes for Complex Applications , vol.4
    • Andreianov, B.1    Boyer, F.2    Hubert, F.3
  • 3
    • 20144374556 scopus 로고    scopus 로고
    • Convergence of finite volume approximations for a nonlinear elliptic-parabolic problem : A "continuous" approach
    • Andreianov, B., Gutnic, M., Wittbold, P.: Convergence of finite volume approximations for a nonlinear elliptic-parabolic problem : a "continuous" approach. SIAM J. Numer. Anal. 42(1), 228-251 (2004)
    • (2004) SIAM J. Numer. Anal. , vol.42 , Issue.1 , pp. 228-251
    • Andreianov, B.1    Gutnic, M.2    Wittbold, P.3
  • 4
    • 38248999512 scopus 로고
    • A remark on the regularity of the solutions of the p-laplacian and its application to the finite clement approximation
    • Barrett, J.W., Liu, W.B.: A remark on the regularity of the solutions of the p-laplacian and its application to the finite clement approximation. J. Math. Anal. Appl. 178, 470-487(1993)
    • (1993) J. Math. Anal. Appl. , vol.178 , pp. 470-487
    • Barrett, J.W.1    Liu, W.B.2
  • 5
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    • Finite element approximation of the p-laplacian
    • Barrett, J.W., Liu, W.B.: Finite element approximation of the p-laplacian. Math. Comp. 61, 523-537 (1993)
    • (1993) Math. Comp. , vol.61 , pp. 523-537
    • Barrett, J.W.1    Liu, W.B.2
  • 6
    • 0000898818 scopus 로고
    • Finite element error estimates for non-linear elliptic equations of monotone type
    • Chow, S.: Finite element error estimates for non-linear elliptic equations of monotone type. Numer. Math. 54, 373-393 (1989)
    • (1989) Numer. Math. , vol.54 , pp. 373-393
    • Chow, S.1
  • 7
    • 0003204969 scopus 로고
    • The finite element method for elliptic problems
    • North-Holland publishing company
    • Ciarlet, P.G.: The finite element method for elliptic problems. Studies in Mathematics and its Applications, Vol. 4, North-Holland publishing company, 1978
    • (1978) Studies in Mathematics and Its Applications , vol.4
    • Ciarlet, P.G.1
  • 8
    • 0016536442 scopus 로고    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
    • Glowinski, R., Marrocco, A.: Sur l'approximation par élé ments finis d'ordre un, et la résolution, par pénalisation- dualité, d'une classe de problèmes de Dirichlet non linéaires. J. Math. Anal. Appl. RAIRO Anal. Num. 2, 41-64 (1975)
    • J. Math. Anal. Appl. RAIRO Anal. Num. , vol.2 , pp. 41-64
    • Glowinski, R.1    Marrocco, A.2
  • 9
    • 0003419898 scopus 로고    scopus 로고
    • Sobolev spaces of fractional order, Nemytskij operators and nonlinear partial differential equations
    • De Gruyter
    • Runst, T., Sickel, W.: Sobolev spaces of fractional order, Nemytskij operators and nonlinear partial differential equations. De Gruyter series in nonlinear analysis and applications, De Gruyter, 1996
    • (1996) De Gruyter Series in Nonlinear Analysis and Applications
    • Runst, T.1    Sickel, W.2
  • 10
    • 21544471984 scopus 로고
    • Caractérisation d'espaces fonctionnels
    • Simon, J.: Caractérisation d'espaces fonctionnels. Bollettino U. M.I. 15-B , 687-714 (1978)
    • (1978) Bollettino U. M.I. , vol.15 B , pp. 687-714
    • Simon, J.1
  • 11
    • 0001457981 scopus 로고
    • Régularité de la solution d'un problème aux limites non linéaires
    • Simon, J.: Régularité de la solution d'un problème aux limites non linéaires. Ann. Fac. Sciences Toulouse 3, 247-274 (1981)
    • (1981) Ann. Fac. Sciences Toulouse , vol.3 , pp. 247-274
    • Simon, J.1
  • 13
    • 84983645161 scopus 로고
    • The rate of convergence of approximation methods for solving one-sided variational problems
    • Tyukthin, V.B.: The rate of convergence of approximation methods for solving one-sided variational problems. I. Teoret. Mat. Fiz. 51(no 2), 111-113, 121 (1982)
    • (1982) I. Teoret. Mat. Fiz. , vol.51 , Issue.2 , pp. 111-113
    • Tyukthin, V.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.