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Volumn 39, Issue 4, 2002, Pages 1302-1323

Least-squares Galerkin methods for parabolic problems I: Semidiscretization in time

Author keywords

A posteriori error estimate; Adaptive time step control; First order system; Least squares Galerkin method; Parabolic problems

Indexed keywords


EID: 0035453018     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142900370125     Document Type: Article
Times cited : (18)

References (12)
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    • (1997) Electron. Trans. Numer. Anal. , vol.6 , pp. 35-43
    • Berndt, M.1    Manteuffel, T.A.2    Mccormick, S.F.3
  • 2
    • 44949291091 scopus 로고
    • An adaptive multilevel approach to parabolic equations I
    • F. A. BORNEMANN, An adaptive multilevel approach to parabolic equations I, Impact Comput. Sci. Engrg., 2 (1990), pp. 279-317.
    • (1990) Impact Comput. Sci. Engrg. , vol.2 , pp. 279-317
    • Bornemann, F.A.1
  • 3
    • 0001844130 scopus 로고
    • An adaptive multilevel approach to parabolic equations II
    • F. A. BORNEMANN, An adaptive multilevel approach to parabolic equations II, Impact Comput. Sci. Engrg., 3 (1991), pp. 93-122.
    • (1991) Impact Comput. Sci. Engrg. , vol.3 , pp. 93-122
    • Bornemann, F.A.1
  • 4
    • 0001791187 scopus 로고
    • An adaptive multilevel approach to parabolic equations III
    • F. A. BORNEMANN, An adaptive multilevel approach to parabolic equations III, Impact Comput. Sci. Engrg., 4 (1992), pp. 1-45.
    • (1992) Impact Comput. Sci. Engrg. , vol.4 , pp. 1-45
    • Bornemann, F.A.1
  • 5
    • 0028747782 scopus 로고
    • First-order system least squares for second-order partial differential equations: Part I
    • Z. CAI, R. LAZAROV, T. A. MANTEUFFEL, AND S. F. MCCORMICK, First-order system least squares for second-order partial differential equations: Part I, SIAM J. Numer. Anal., 31 (1994), pp. 1785-1799.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1785-1799
    • Cai, Z.1    Lazarov, R.2    Manteuffel, T.A.3    Mccormick, S.F.4
  • 6
    • 0026106415 scopus 로고
    • Adaptive finite element methods for parabolic problems I: A linear model problem
    • K. ERIKSSON AND C. JOHNSON, Adaptive finite element methods for parabolic problems I: A linear model problem, SIAM J. Numer. Anal., 28 (1991), pp. 43-77.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 43-77
    • Eriksson, K.1    Johnson, C.2
  • 8
    • 0025414195 scopus 로고
    • An a posteriori error estimate and adaptive timestep control for a backward Euler discretization of a parabolic problem
    • C. JOHNSON, Y.-Y. NIE, AND V. THOMÉE, An a posteriori error estimate and adaptive timestep control for a backward Euler discretization of a parabolic problem, SIAM J. Numer. Anal., 27 (1990), pp. 277-291.
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 277-291
    • Johnson, C.1    Nie, Y.-Y.2    Thomée, V.3
  • 9
    • 0036411416 scopus 로고    scopus 로고
    • Least-squares Galerkin methods for parabolic problems II: The fully discrete case and adaptive algorithms
    • to appear
    • M. MAJIDI AND G. STARKE, Least-squares Galerkin methods for parabolic problems II: The fully discrete case and adaptive algorithms, SIAM J. Numer. Anal., to appear.
    • SIAM J. Numer. Anal.
    • Majidi, M.1    Starke, G.2
  • 10
    • 0034292305 scopus 로고    scopus 로고
    • Least-squares finite element schemes in the time domain
    • K. M. SINGH AND M. S. KALRA, Least-squares finite element schemes in the time domain, Comput. Methods Appl. Mech. Engrg., 190 (2000), pp. 111-131.
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 111-131
    • Singh, K.M.1    Kalra, M.S.2
  • 11
    • 0033678357 scopus 로고    scopus 로고
    • Least-squares mixed finite element solution of variably saturated subsurface flow problems
    • G. STARKE, Least-squares mixed finite element solution of variably saturated subsurface flow problems, SIAM J. Sci. Comput., 21 (2000), pp. 1869-1885.
    • (2000) SIAM J. Sci. Comput. , vol.21 , pp. 1869-1885
    • Starke, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.