메뉴 건너뛰기




Volumn 15, Issue 1-4, 2001, Pages 193-218

Some a posteriori error estimates of the finite-difference streamline-diffusion method for convection-dominated diffusion equations

Author keywords

A posteriori error estimates; Finite difference streamline diffusion method; Time dependent convection dominated diffusion equations

Indexed keywords


EID: 0035567410     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1014294002686     Document Type: Article
Times cited : (16)

References (19)
  • 2
    • 0023593007 scopus 로고
    • Asymptotically exact a posteriori error estimator for biquadratic elements
    • I. Babuska and D.H. Yu, Asymptotically exact a posteriori error estimator for biquadratic elements, Finite Element in Analysis and Design 3 (1987) 341-354.
    • (1987) Finite Element in Analysis and Design , vol.3 , pp. 341-354
    • Babuska, I.1    Yu, D.H.2
  • 5
    • 0016541865 scopus 로고
    • Approximation by finite element functions using local regularization
    • Ph. Clément, Approximation by finite element functions using local regularization, RAIRO Anal. Numer. 2 (1975) 77-84.
    • (1975) RAIRO Anal. Numer , vol.2 , pp. 77-84
    • Clément, P.1
  • 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) 43-77.
    • (1991) SIAM J. Numer. Anal , vol.28 , pp. 43-77
    • Eriksson, K.1    Johnson, C.2
  • 7
    • 84968481723 scopus 로고
    • Adaptive streamline diffusion finite element methods for stationary convection-diffusion problems
    • K. Eriksson and C. Johnson, Adaptive streamline diffusion finite element methods for stationary convection-diffusion problems, Math. Comp. 80 (1993) 167-188.
    • (1993) Math. Comp , vol.80 , pp. 167-188
    • Eriksson, K.1    Johnson, C.2
  • 9
    • 0022663140 scopus 로고
    • A new finite element formulation for computational fluid dynamics I-IV
    • T. Hughes, T. Tezduyar and A. Brooks, A new finite element formulation for computational fluid dynamics I-IV, Comput. Methods Appl. Mech. Engrg. 54 (1986) 223-234, 341-355; 58 (1986) 305- 328, 329-336.
    • (1986) Comput. Methods Appl. Mech. Engrg , vol.54 , pp. 223-234
    • Hughes, T.1    Tezduyar, T.2    Brooks, A.3
  • 10
    • 0022807116 scopus 로고
    • T. Hughes, T. Tezduyar and A. Brooks, A new finite element formulation for computational fluid dynamics I-IV, Comput. Methods Appl. Mech. Engrg. 54 (1986) 223-234, 341-355; 58 (1986) 305-328, 329-336.
    • (1986) Comput. Methods Appl. Mech. Engrg , vol.58 , pp. 305-328
  • 12
    • 84966256937 scopus 로고
    • Streamline diffusion methods for the incompressible Euler and Navier-Stokes equations
    • C. Johnson and J. Saranen, Streamline diffusion methods for the incompressible Euler and Navier-Stokes equations, Math. Comp. 47 (1986) 1-18.
    • (1986) Math. Comp , vol.47 , pp. 1-18
    • Johnson, C.1    Saranen, J.2
  • 13
    • 0010565389 scopus 로고    scopus 로고
    • A posteriori error estimate of FD-SD method for time-dependent convection-dominated diffusion equation and adjustment technique of space mesh
    • in Chinese
    • T. Kang and D.H. Yu, A posteriori error estimate of FD-SD method for time-dependent convection-dominated diffusion equation and adjustment technique of space mesh, J. Numerical Methods Computer Applications 3 (2000) 194-207 (in Chinese).
    • (2000) J. Numerical Methods Computer Applications , vol.3 , pp. 194-207
    • Kang, T.1    Yu, D.H.2
  • 14
    • 0347309832 scopus 로고    scopus 로고
    • Finite-Different Stream-Diffusion method for time-dependent convection-diffusion equation
    • C. Sun and H. Shen, Finite-Different Stream-Diffusion method for time-dependent convection-diffusion equation, Numer. Math., A Journal of Chinese University 1 (1998) 72-85.
    • (1998) Numer. Math., A Journal of Chinese University , vol.1 , pp. 72-85
    • Sun, C.1    Shen, H.2
  • 16
    • 0001791411 scopus 로고
    • Asymptotically exact a posteriori error estimator for elements of bi-even degree
    • D.H. Yu, Asymptotically exact a posteriori error estimator for elements of bi-even degree, Chinese J. Numer. Math. Appl. 13(2) (1991) 64-78.
    • (1991) Chinese J. Numer. Math. Appl , vol.13 , Issue.2 , pp. 64-78
    • Yu, D.H.1
  • 17
    • 0001791409 scopus 로고
    • Asymptotically exact a posteriori error estimator for elements of bi-odd degree
    • D.H. Yu, Asymptotically exact a posteriori error estimator for elements of bi-odd degree, Chinese J. Numer. Math. Appl. 13(4) (1991) 82-90.
    • (1991) Chinese J. Numer. Math. Appl , vol.13 , Issue.4 , pp. 82-90
    • Yu, D.H.1
  • 18
    • 0010531451 scopus 로고
    • The adaptive methods in the finite element and boundary element computation
    • D.H. Yu, The adaptive methods in the finite element and boundary element computation, Progr. Natur. Sci. 2 (1994) 142-148.
    • (1994) Progr. Natur. Sci , vol.2 , pp. 142-148
    • Yu, D.H.1
  • 19
    • 0043117104 scopus 로고    scopus 로고
    • Finite difference-streamline diffusion method for nonlinear convection-diffusion equation
    • Q. Zhang and C. Sun, Finite difference-streamline diffusion method for nonlinear convection-diffusion equation, Math. Numer. Sinica 20(2) (1998) 212-224.
    • (1998) Math. Numer. Sinica , vol.20 , Issue.2 , pp. 212-224
    • Zhang, Q.1    Sun, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.