메뉴 건너뛰기




Volumn 35, Issue 3, 1998, Pages 1095-1112

Error estimates for a class of degenerate parabolic equations

Author keywords

Error estimates; Finite speed of propagation; Free boundary problem; Fully discrete galerkin scheme

Indexed keywords


EID: 0000861589     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142996305200     Document Type: Article
Times cited : (36)

References (13)
  • 2
    • 0016518469 scopus 로고
    • Analyse numérique d'un problème de Stefan à deux phases par une méthode d'éléments finis
    • J. F. CIAVALDINI, Analyse numérique d'un problème de Stefan à deux phases par une méthode d'éléments finis, SIAM J. Numer. Anal., 12 (1975), pp. 464-487.
    • (1975) SIAM J. Numer. Anal. , vol.12 , pp. 464-487
    • Ciavaldini, J.F.1
  • 3
    • 85033917701 scopus 로고    scopus 로고
    • n
    • Schriften
    • n, Bonner Math. Schriften, 287 (1996), pp. 1-69.
    • (1996) Bonner Math. , vol.287 , pp. 1-69
    • Ebmeyer, C.1
  • 4
    • 21344437678 scopus 로고    scopus 로고
    • A non-degeneracy property for a class of degenerate parabolic equations
    • C. EBMEYER, A non-degeneracy property for a class of degenerate parabolic equations, Z. Anal. Anwendungen, 15 (1996), pp. 637-650.
    • (1996) Z. Anal. Anwendungen , vol.15 , pp. 637-650
    • Ebmeyer, C.1
  • 5
    • 0003320921 scopus 로고
    • Elliptic Problems in Nonsmooth Domains
    • Pitman Advanced Publishing Program, Boston, London
    • P. GRISVARD, Elliptic Problems in Nonsmooth Domains, Monographs and Studies in Mathematics 24, Pitman Advanced Publishing Program, Boston, London, 1985.
    • (1985) Monographs and Studies in Mathematics , pp. 24
    • Grisvard, P.1
  • 6
    • 0002938808 scopus 로고
    • On the smoothing property of the Galerkin method for parabolic equations
    • M. LUSKIN AND R. RANNACHER, On the smoothing property of the Galerkin method for parabolic equations, SIAM J. Numer. Anal., 19 (1982), pp. 93-113.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 93-113
    • Luskin, M.1    Rannacher, R.2
  • 7
    • 0001680650 scopus 로고
    • Error estimates for multidimensional singular parabolic problems
    • R. H. NOCHETTO, Error estimates for multidimensional singular parabolic problems, Japan J. Appl. Math., 4 (1987), pp. 111-138.
    • (1987) Japan J. Appl. Math. , vol.4 , pp. 111-138
    • Nochetto, R.H.1
  • 8
    • 0002770330 scopus 로고
    • Finite element methods for parabolic free boundary problems
    • Lancaster 1990, Oxford University Press, New York
    • R. H. NOCHETTO, Finite element methods for parabolic free boundary problems, in Advances in Numerical Analysis, Volume I (Lancaster 1990), Oxford University Press, New York, 1991, pp. 34-95.
    • (1991) Advances in Numerical Analysis , vol.1 , pp. 34-95
    • Nochetto, R.H.1
  • 9
    • 0001278368 scopus 로고
    • Approximation of degenerate parabolic problems using numerical integration
    • R. H. NOCHETTO AND C. VERDI, Approximation of degenerate parabolic problems using numerical integration, SIAM J. Numer. Anal., 25 (1988), pp. 784-814.
    • (1988) SIAM J. Numer. Anal. , vol.25 , pp. 784-814
    • Nochetto, R.H.1    Verdi, C.2
  • 11
    • 84966221941 scopus 로고
    • Numerical methods for flows through porous media I
    • M. E. 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.E.1
  • 12
    • 0000837295 scopus 로고
    • The initial boundary value problem for a class of degenerate parabolic equations
    • P. E. SACKS, The initial boundary value problem for a class of degenerate parabolic equations, Comm. Partial Differential Equations, 8 (1983), pp. 693-733.
    • (1983) Comm. Partial Differential Equations , vol.8 , pp. 693-733
    • Sacks, P.E.1
  • 13
    • 0003208045 scopus 로고
    • Galerkin Finite Element Methods for Parabolic Problems
    • Springer-Verlag, New York, Berlin
    • V. THOMÉE, Galerkin Finite Element Methods for Parabolic Problems, Lecture Notes in Math. 1054, Springer-Verlag, New York, Berlin 1984.
    • (1984) Lecture Notes in Math. , pp. 1054
    • Thomée, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.