메뉴 건너뛰기




Volumn 36, Issue 2, 1999, Pages 75-101

Nonsmooth data error estimates for damped single step methods for parabolic equations in Banach space

Author keywords

Crank Nicolson; Error estimate; Nonsmooth data; Parabolic equation; Single step method; Supremum norm

Indexed keywords

DISCRETE EVENT SIMULATION; ERRORS; FINITE ELEMENT METHOD; INITIAL VALUE PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0005735833     PISSN: 00080624     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100920050024     Document Type: Article
Times cited : (23)

References (15)
  • 1
    • 84968481039 scopus 로고
    • Resolvent estimates for elliptic finite element operators in one dimension
    • Crouzeix, M., Larsson, S., Thomée, V.: Resolvent estimates for elliptic finite element operators in one dimension. Math. Comp. 63, 121-140 (1994)
    • (1994) Math. Comp. , vol.63 , pp. 121-140
    • Crouzeix, M.1    Larsson, S.2    Thomée, V.3
  • 2
    • 84966243417 scopus 로고
    • 2-projection onto finite element function spaces
    • 2-projection onto finite element function spaces. Math. Comp. 48, 521-532 (1987)
    • (1987) Math. Comp. , vol.48 , pp. 521-532
    • Crouzeix, M.1    Thomée, V.2
  • 4
    • 0025416424 scopus 로고
    • Finite element approximation of the nonstationary Navier-Stokes problem. IV. Error analysis for second-order time discretization
    • Heywood, J.G., Rannacher, R.: Finite element approximation of the nonstationary Navier-Stokes problem. IV. Error analysis for second-order time discretization. SIAM J. Numer. Anal. 27, 353-384 (1990)
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 353-384
    • Heywood, J.G.1    Rannacher, R.2
  • 6
    • 0003900418 scopus 로고
    • Finite-element methods for a strongly damped wave equation
    • Larsson, S., Thomée, V., Wahlbin, L.B.: Finite-element methods for a strongly damped wave equation. IMA J. Numer. Anal. 11, 115-142 (1991)
    • (1991) IMA J. Numer. Anal. , vol.11 , pp. 115-142
    • Larsson, S.1    Thomée, V.2    Wahlbin, L.B.3
  • 7
    • 84950209210 scopus 로고
    • On the smoothing property of the Crank-Nicolson scheme
    • Luskin, M., Rannacher, R.: On the smoothing property of the Crank-Nicolson scheme. Applicable Anal. 14, 117-135 (1982/83)
    • (1982) Applicable Anal. , vol.14 , pp. 117-135
    • Luskin, M.1    Rannacher, R.2
  • 8
    • 0005728287 scopus 로고
    • ∞-convergence of finite element Galerkin approximations for parabolic problems
    • ∞-convergence of finite element Galerkin approximations for parabolic problems. RAIRO Numer. Anal. 13, 31-54 (1979)
    • (1979) RAIRO Numer. Anal. , vol.13 , pp. 31-54
    • Nitsche, J.A.1
  • 9
    • 0000957952 scopus 로고    scopus 로고
    • Maximum norm analysis of completely discrete finite element methods for parabolic problems
    • Palencia, C.: Maximum norm analysis of completely discrete finite element methods for parabolic problems. SIAM J. Numer. Anal. 33 , 1654-1668 (1996)
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1654-1668
    • Palencia, C.1
  • 10
    • 0003316678 scopus 로고
    • Semigroups of linear operators and applications to partial differential equations
    • New York: Springer
    • Pazy, A.: Semigroups of linear operators and applications to partial differential equations. (Springer Series in Applied Mathematical Sciences vol. 44) New York: Springer 1983
    • (1983) Springer Series in Applied Mathematical Sciences , vol.44
    • Pazy, A.1
  • 11
    • 0000439427 scopus 로고
    • Finite element solution of diffusion problems with irregular data
    • Rannacher, R.: Finite element solution of diffusion problems with irregular data. Numer. Math. 43, 309-327 (1984)
    • (1984) Numer. Math. , vol.43 , pp. 309-327
    • Rannacher, R.1
  • 12
    • 84980170637 scopus 로고
    • Maximum norm stability and error estimates in parabolic finite element equations
    • Schatz, A.H., Thomée, V., Wahlbin, L.B.: Maximum norm stability and error estimates in parabolic finite element equations. Comm. Pure Appl. Math. 33, 265-304 (1980)
    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 265-304
    • Schatz, A.H.1    Thomée, V.2    Wahlbin, L.B.3
  • 13
    • 0002461654 scopus 로고
    • On the abstract Cauchy problem of parabolic type in spaces of continuous functions
    • Sinestrari, E.: On the abstract Cauchy problem of parabolic type in spaces of continuous functions. J. Math. Anal. Appl. 107, 16-66 (1985)
    • (1985) J. Math. Anal. Appl. , vol.107 , pp. 16-66
    • Sinestrari, E.1
  • 14
    • 84967800047 scopus 로고
    • Generation of analytic semigroups by strongly elliptic operators
    • Stewart, A.B.: Generation of analytic semigroups by strongly elliptic operators. Trans. Amer. Math. Soc. 199, 141-162 (1974)
    • (1974) Trans. Amer. Math. Soc. , vol.199 , pp. 141-162
    • Stewart, A.B.1
  • 15
    • 0003345958 scopus 로고    scopus 로고
    • Galerkin finite element methods for parabolic problems
    • Berlin: Springer
    • Thomée, V.: Galerkin finite element methods for parabolic problems. (Springer Series in Computational Mathematics vol. 25) Berlin: Springer 1997
    • (1997) Springer Series in Computational Mathematics , vol.25
    • Thomée, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.