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Volumn 9, Issue 5-6, 1987, Pages 657-670

Optimal error estimates for an approximation of degenerate parabolic problems

Author keywords

[No Author keywords available]

Indexed keywords

DEGENERATE PARABOLIC PROBLEMS; FINITE ELEMENT METHODS; NUMERICAL INTEGRATION; OPTIMAL ERROR ESTIMATES;

EID: 0023347491     PISSN: 01630563     EISSN: 15322467     Source Type: Journal    
DOI: 10.1080/01630568708816253     Document Type: Article
Times cited : (16)

References (20)
  • 1
    • 0000836987 scopus 로고
    • Quasilinear elliptic-parabolic differential équations
    • H. W. ALT & S. LUCKHAUS, Quasilinear elliptic-parabolic differential équations, Math. Z., 183 (1983), pp. 311–341.
    • (1983) Math. Z. , vol.183 , pp. 311-341
    • ALT, H.W.1    LUCKHAUS, S.2
  • 4
    • 0021552884 scopus 로고
    • J. F. EPPERSON, Finite element methods for a class of nonlinear evolution équations, SIAM J. Numer. Anal., 21 (1984), pp. 1066–1079.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 1066-1079
    • EPPERSON, J.F.1
  • 5
    • 84956375538 scopus 로고
    • J. F. EPPERSON, Regularization for a class of nonlinear evolution équations, SIAM J. Math. Anal., 17 (1986), 84–90.
    • (1986) SIAM J. Math. Anal. , vol.17 , pp. 84-90
    • EPPERSON, J.F.1
  • 8
    • 84966199242 scopus 로고
    • J. W. JEROME & M. ROSE, Error estimates for the multidimensional two-phase Stefan problem, Math. Comp., 39 (1982), pp. 377–414.
    • (1982) Math. Comp. , vol.39 , pp. 377-414
    • JEROME, J.W.1    ROSE, M.2
  • 9
    • 51249173122 scopus 로고
    • Error estimates for two-phase Stefan problems in several space variables, I: linear boundary conditions
    • R. H. NOCHETTO, Error estimates for two-phase Stefan problems in several space variables, I: linear boundary conditions, Calcolo, XXII (1985), 457–499.
    • (1985) Calcolo , vol.22 , pp. 457-499
    • NOCHETTO, R.H.1
  • 11
    • 0002465314 scopus 로고
    • A note on the approximation of free boundaries by finite elements methods
    • 2AN, 20 (1986), 355–368.
    • (1986) 2AN , vol.20 , pp. 355-368
    • NOCHETTO, R.H.1
  • 12
    • 84956366036 scopus 로고    scopus 로고
    • Error estimates for multidimensional singular parabolic problems
    • to appear in
    • R. H. NOCHETTO, Error estimates for multidimensional singular parabolic problems, to appear in Japan J. Appl. Math.
    • Japan J. Appl. Math
    • NOCHETTO, R.H.1
  • 13
    • 0001278368 scopus 로고    scopus 로고
    • Approximation of degenerate parabolic problems using numerical integration
    • submitted to
    • R. H. NOCHETTO & C. VERDI, Approximation of degenerate parabolic problems using numerical integration, submitted to SIAM J. Numer. Anal.
    • SIAM J. Numer. Anal.
    • NOCHETTO, R.H.1    VERDI, C.2
  • 16
    • 84966221941 scopus 로고
    • M. ROSE, Numerical methods for flows through porous media, I, Math. Comp., 40 (1983), pp. 435–467.
    • (1983) Math. Comp. , vol.40 , pp. 435-467
    • ROSE, M.1
  • 17
    • 0000960207 scopus 로고
    • On the numerical approach to a two-phase Stefan problem with non-linear flux
    • C. VERDI, On the numerical approach to a two-phase Stefan problem with non-linear flux, Calcolo, XXII (1985), 351–381.
    • (1985) Calcolo , vol.22 , pp. 351-381
    • VERDI, C.1
  • 18
    • 0001363466 scopus 로고
    • Implicit finite-difference solutions of the enthalpy formulation of Stefan problems
    • V. R. VOLLER, Implicit finite-difference solutions of the enthalpy formulation of Stefan problems, IMA J. Numer. Anal., 5 (1985), 201–214.
    • (1985) IMA J. Numer. Anal. , vol.5 , pp. 201-214
    • VOLLER, V.R.1
  • 19
    • 0000588980 scopus 로고
    • An enthalpy formulation of the Stefan problem
    • R. E. WHITE, An enthalpy formulation of the Stefan problem, SIAM J. Numer. Anal., 19 (1982), pp. 1129–1157.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 1129-1157
    • WHITE, R.E.1
  • 20
    • 0022737321 scopus 로고
    • A nonlinear parallel algorithm with application to the Stefan problem
    • R. E. WHITE, A nonlinear parallel algorithm with application to the Stefan problem, SIAM J. Numer. Anal., 23 (1986), 639–652.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 639-652
    • WHITE, R.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.