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Volumn 35, Issue 4, 1998, Pages 1315-1325

Adaptive finite element methods for parabolic problems VI: Analytic semigroups

Author keywords

A posteriori; A priori; Analytic semigroup; Discontinuous Galerkin method; Error estimate; Parabolic problem; Strong stability

Indexed keywords


EID: 0001648207     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142996310216     Document Type: Article
Times cited : (67)

References (11)
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    • 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
  • 4
    • 84904150653 scopus 로고
    • Adaptive finite element methods for parabolic problems IV: Nonlinear problems
    • K. ERIKSSON AND C. JOHNSON, Adaptive finite element methods for parabolic problems IV: Nonlinear problems, SIAM J. Numer. Anal., 32 (1995), pp. 1729-1749.
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 1729-1749
    • Eriksson, K.1    Johnson, C.2
  • 5
    • 67649809189 scopus 로고
    • Adaptive finite element methods for parabolic problems V: Long-time integration
    • K. ERIKSSON AND C. JOHNSON, Adaptive finite element methods for parabolic problems V: Long-time integration, SIAM J. Numer. Anal., 32 (1995), pp. 1750-1763.
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 1750-1763
    • Eriksson, K.1    Johnson, C.2
  • 6
    • 0001188018 scopus 로고
    • Time discretization of parabolic problems by the discontinuous Galerkin method
    • K. ERIKSSON, C. JOHNSON, AND V. THOMÉE, Time discretization of parabolic problems by the discontinuous Galerkin method, RAIRO Modél. Math. Anal. Numér., 19 (1985), pp. 611-643.
    • (1985) RAIRO Modél. Math. Anal. Numér. , vol.19 , pp. 611-643
    • Eriksson, K.1    Johnson, C.2    Thomée, V.3
  • 7
    • 0001255117 scopus 로고
    • Numerics and hydrodynamic stability: Toward error control in computational fluid dynamics
    • C. JOHNSON, R. RANNACHER, AND M. BOMAN, Numerics and hydrodynamic stability: Toward error control in computational fluid dynamics, SIAM J. Numer. Anal., 32 (1995), pp. 1058-1079.
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 1058-1079
    • Johnson, C.1    Rannacher, R.2    Boman, M.3
  • 9
    • 84968495683 scopus 로고
    • On the stability of variable stepsize rational methods for holomorphic semigroups
    • C. PALENCIA, On the stability of variable stepsize rational methods for holomorphic semigroups, Math. Comp., 62 (1994), pp. 93-103.
    • (1994) Math. Comp. , vol.62 , pp. 93-103
    • Palencia, C.1
  • 11
    • 31644432026 scopus 로고
    • Order stars and stability theorems
    • G. WANNER, E. HAIRER, AND S. P. NØRSETT, Order stars and stability theorems, BIT, 18 (1978), pp. 475-489.
    • (1978) BIT , vol.18 , pp. 475-489
    • Wanner, G.1    Hairer, E.2    NØrsett, S.P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.