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Volumn 23, Issue 1, 2005, Pages 1-43

Finite element methods for parabolic stochastic PDE's

Author keywords

Finite elements; Numerical SPDE; Rate of convergence; Stochastic partial differential equations; White noise

Indexed keywords


EID: 21244455730     PISSN: 09262601     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11118-004-2950-y     Document Type: Article
Times cited : (108)

References (18)
  • 1
    • 0000720752 scopus 로고
    • A note on the isoperimetric constant
    • Buser, P.: 'A note on the isoperimetric constant', Ann. Sci. Ecole Norm. Sup. Paris 15 (1982), 213-230.
    • (1982) Ann. Sci. Ecole Norm. Sup. Paris , vol.15 , pp. 213-230
    • Buser, P.1
  • 2
    • 0042633317 scopus 로고
    • Variétés riemanniennes isométriques á l'infini
    • Coulhon, Th. and Saloff-Coste, L.: 'Variétés riemanniennes isométriques á l'infini', Rev. Mat. Iberoamericana 11 (1995), 687-726.
    • (1995) Rev. Mat. Iberoamericana , vol.11 , pp. 687-726
    • Coulhon1    Saloff-Coste, L.2
  • 3
    • 0000844770 scopus 로고    scopus 로고
    • On Liouville theorems for harmonic functions with finite Dirichlet integral
    • (in Russian)
    • Grigor'yan, A.A.: 'On Liouville theorems for harmonic functions with finite Dirichlet integral', Mat. Sbornik 132(4), 496-516 (in Russian)
    • Mat. Sbornik , vol.132 , Issue.4 , pp. 496-516
    • Grigor'yan, A.A.1
  • 4
    • 0000589878 scopus 로고
    • English transl.
    • (English transl. Math. USSR Sbornik 60(2) (1988), 485-504).
    • (1988) Math. USSR Sbornik , vol.60 , Issue.2 , pp. 485-504
  • 7
    • 0001090134 scopus 로고
    • Rough isometries and p-harmonic functions with finite Dirichlet integral
    • Holopainen, I.: 'Rough isometries and p-harmonic functions with finite Dirichlet integral', Rev. Mat. Iberoamericana 10 (1994), 143-176.
    • (1994) Rev. Mat. Iberoamericana , vol.10 , pp. 143-176
    • Holopainen, I.1
  • 8
    • 0039530432 scopus 로고    scopus 로고
    • Volume growth, Green's functions and parabolicity of ends
    • Holopainen, I.: 'Volume growth, Green's functions and parabolicity of ends', Duke Math. J. 97(2) (1999), 319-346.
    • (1999) Duke Math. J. , vol.97 , Issue.2 , pp. 319-346
    • Holopainen, I.1
  • 9
    • 84972557750 scopus 로고
    • Rough isometries, and combinatorial approximations of geometries of non-compact Riemannian manifolds
    • Kanai, M.: 'Rough isometries, and combinatorial approximations of geometries of non-compact Riemannian manifolds', J. Math. Soc. Japan 37(3) (1985), 391-413.
    • (1985) J. Math. Soc. Japan , vol.37 , Issue.3 , pp. 391-413
    • Kanai, M.1
  • 10
    • 0034373507 scopus 로고    scopus 로고
    • Rough isometry and energy finite solutions of elliptic equations on Riemannian manifolds
    • Lee, Y.H.: 'Rough isometry and energy finite solutions of elliptic equations on Riemannian manifolds', Math. Ann. 318 (2000), 181-204.
    • (2000) Math. Ann. , vol.318 , pp. 181-204
    • Lee, Y.H.1
  • 11
    • 84972546936 scopus 로고
    • Etude d'une classe d'applications Liée à des homomorphismes d'algebres de fonctions, et generalisant les quasi conromes
    • Lelong-Ferrand, J.: 'Etude d'une classe d'applications Liée à des homomorphismes d'algebres de fonctions, et generalisant les quasi conromes', Duke Math. J. 40 (1973), 163-186.
    • (1973) Duke Math. J. , vol.40 , pp. 163-186
    • Lelong-Ferrand, J.1
  • 12
    • 84966245925 scopus 로고
    • Quasiconformal mappings and Royden algebras in space
    • Lewis, L.G.: 'Quasiconformal mappings and Royden algebras in space', Trans. Amer. Math. Soc. 158 (1971), 481-492.
    • (1971) Trans. Amer. Math. Soc. , vol.158 , pp. 481-492
    • Lewis, L.G.1
  • 13
    • 0003220990 scopus 로고    scopus 로고
    • Fine regularity of solutions of elliptic partial differential equations
    • Amer. Math. Soc.
    • Malý, J. and Ziemer, W.P.: Fine Regularity of Solutions of Elliptic Partial Differential Equations, Math. Surveys Monographs 51, Amer. Math. Soc., 1997.
    • (1997) Math. Surveys Monographs , vol.51
    • Malý, J.1    Ziemer, W.P.2
  • 14
    • 0040009313 scopus 로고
    • Existence of quasiconformal mappings between Riemann surfaces
    • Nakai, M.: 'Existence of quasiconformal mappings between Riemann surfaces', Hokkaido Math. J. 10 (1981), 525-530.
    • (1981) Hokkaido Math. J. , vol.10 , pp. 525-530
    • Nakai, M.1
  • 15
    • 0039008253 scopus 로고    scopus 로고
    • Existence of quasi-isometric mappings and Royden compactifications
    • Nakai, M.: 'Existence of quasi-isometric mappings and Royden compactifications', Ann. Acad. Sci. Fenn. 25 (2000), 239-260.
    • (2000) Ann. Acad. Sci. Fenn. , vol.25 , pp. 239-260
    • Nakai, M.1
  • 16
    • 84972534200 scopus 로고
    • Existence of quasiconformal mappings between Riemannian manifolds
    • Nakai, M. and Tanaka, H.: 'Existence of quasiconformal mappings between Riemannian manifolds', Kodai Math. J. 5 (1982), 122-131.
    • (1982) Kodai Math. J. , vol.5 , pp. 122-131
    • Nakai, M.1    Tanaka, H.2
  • 18
    • 21244435444 scopus 로고
    • An ideal boundary for domains in n-space
    • Soderborg, N.: 'An ideal boundary for domains in n-space', Ann. Acad. Sci. Fenn. 19 (1994), 147-165.
    • (1994) Ann. Acad. Sci. Fenn. , vol.19 , pp. 147-165
    • Soderborg, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.