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Volumn 17, Issue 8, 2007, Pages 1279-1305

Improved accuracy for alternating-direction methods for parabolic equations based on regular and mixed finite elements

Author keywords

Alternating directions method; Splitting error

Indexed keywords


EID: 34547247032     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202507002285     Document Type: Article
Times cited : (13)

References (15)
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    • Douglas Jr., J.1    Gunn, J.2
  • 7
    • 0347121979 scopus 로고    scopus 로고
    • Improved accuracy for locally one-dimensional methods for parabolic equations
    • J. Douglas, Jr. and S. Kim, Improved accuracy for locally one-dimensional methods for parabolic equations, Math. Mod. Meth. Appl. Sci. 11 (2001) 1563-1579.
    • (2001) Math. Mod. Meth. Appl. Sci , vol.11 , pp. 1563-1579
    • Douglas Jr., J.1    Kim, S.2
  • 8
    • 84984083796 scopus 로고
    • Numerical solution of two-dimensional heat flow problems
    • J. Douglas, Jr. and D. W. Peaceman, Numerical solution of two-dimensional heat flow problems, Amer. Inst. Chem. Eng. J. 1 (1955) 505-512.
    • (1955) Amer. Inst. Chem. Eng. J , vol.1 , pp. 505-512
    • Douglas Jr., J.1    Peaceman, D.W.2
  • 10
    • 51249172886 scopus 로고
    • Superconvergence for mixed finite element methods on rectangular domains
    • J. Douglas, Jr. and J. Wang, Superconvergence for mixed finite element methods on rectangular domains, Calcolo 26 (1989) 121-134.
    • (1989) Calcolo , vol.26 , pp. 121-134
    • Douglas Jr., J.1    Wang, J.2
  • 11
    • 0041180232 scopus 로고
    • Superconvergence for rectangular mixed finite elements
    • R. Durán, Superconvergence for rectangular mixed finite elements, Numer. Math. 58 (1990) 287-298.
    • (1990) Numer. Math , vol.58 , pp. 287-298
    • Durán, R.1
  • 12
    • 0022335138 scopus 로고
    • Some superconvergence results for mixed finite element methods for elliptic problems on rectangular domains
    • ed. J. R. Whiteman Academic Press
    • M. Nakata, A. Weiser and M. F. Wheeler, Some superconvergence results for mixed finite element methods for elliptic problems on rectangular domains, in The Mathematics of Finite Elements and Applications V, ed. J. R. Whiteman (Academic Press, 1985).
    • (1985) The Mathematics of Finite Elements and Applications V
    • Nakata, M.1    Weiser, A.2    Wheeler, M.F.3
  • 13
    • 0002058827 scopus 로고
    • The numerical solution of parabolic and elliptic equations
    • D. W. Peaceman and H. Rachford, The numerical solution of parabolic and elliptic equations, J. Soc. Indust. Appl. Math. 3 (1955) 28-41.
    • (1955) J. Soc. Indust. Appl. Math , vol.3 , pp. 28-41
    • Peaceman, D.W.1    Rachford, H.2
  • 14
    • 0001175293 scopus 로고
    • A mixed finite element method for 2nd order elliptic problems
    • Mathematical Aspects of Finite Element Methods, eds. I. Galligani and E. Magenes Springer-Verlag
    • R. A. Raviart and J. M. Thomas, A mixed finite element method for 2nd order elliptic problems, in Mathematical Aspects of Finite Element Methods, Lecture Notes in Math. Vol. 606, eds. I. Galligani and E. Magenes (Springer-Verlag, 1977), pp. 292-315.
    • (1977) Lecture Notes in Math , vol.606 , pp. 292-315
    • Raviart, R.A.1    Thomas, J.M.2
  • 15
    • 0001287713 scopus 로고
    • 2 error estimates for Galerkin approximations to parabolic partial differential equations
    • 2 error estimates for Galerkin approximations to parabolic partial differential equations, SIAM J. Numer. Anal. 10 (1973) 723-759.
    • (1973) SIAM J. Numer. Anal , vol.10 , pp. 723-759
    • Wheeler, M.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.