메뉴 건너뛰기




Volumn 143, Issue 3-4, 1997, Pages 349-372

A monotone finite element method with test space of Legendre polynomials

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; DIFFUSION; HEAT CONVECTION; MATHEMATICAL MODELS; MATRIX ALGEBRA; OSCILLATIONS; POLYNOMIALS; TESTING;

EID: 0031117208     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01158-9     Document Type: Article
Times cited : (10)

References (15)
  • 1
    • 0011607066 scopus 로고
    • Upstream-weighted differencing scheme and their application to elliptic problems involving fluid flow
    • G.D. Raithby and K.E. Torrance, Upstream-weighted differencing scheme and their application to elliptic problems involving fluid flow, Comput. Fluid 2 (1974) 191-206.
    • (1974) Comput. Fluid , vol.2 , pp. 191-206
    • Raithby, G.D.1    Torrance, K.E.2
  • 2
    • 0018480361 scopus 로고
    • A stable and accurate convective modelling procedure based on quadratic upstream intepolation
    • B.P. Leonard, A stable and accurate convective modelling procedure based on quadratic upstream intepolation, Comput. Methods Appl. Mech. Engrg. 19 (1979) 59-98.
    • (1979) Comput. Methods Appl. Mech. Engrg. , vol.19 , pp. 59-98
    • Leonard, B.P.1
  • 4
    • 0022108140 scopus 로고
    • A Petrov-Galerkin finite element method for convection dominated flow: An accurate upwinding technique for satisfying the maximum principle
    • A. Mizukami and T.J.R. Hughes, A Petrov-Galerkin finite element method for convection dominated flow: An accurate upwinding technique for satisfying the maximum principle, Comput. Methods Appl. Mech. Engrg. 50 (1985) 181-193.
    • (1985) Comput. Methods Appl. Mech. Engrg. , vol.50 , pp. 181-193
    • Mizukami, A.1    Hughes, T.J.R.2
  • 5
    • 0020238971 scopus 로고
    • Petrov-Galerkin scheme for the steady state convection-diffusion equation
    • M. Ahués and M. Telias, Petrov-Galerkin scheme for the steady state convection-diffusion equation, Finite Elem. Water Res. 2(3-2) (1982) 12.
    • (1982) Finite Elem. Water Res. , vol.2 , Issue.2-3 , pp. 12
    • Ahués, M.1    Telias, M.2
  • 6
    • 0003292623 scopus 로고
    • Numerical solution of partial differential equations
    • Springer-Verlag, New York
    • T. Meis and U. Marcowitz, Numerical solution of partial differential equations, Applied Mathematical Sciences, Vol. 32 (Springer-Verlag, New York, 1981).
    • (1981) Applied Mathematical Sciences , vol.32
    • Meis, T.1    Marcowitz, U.2
  • 7
    • 0003328854 scopus 로고
    • Maximum principle in finite element models for convection-diffusion phenomena
    • North-Holland, Amsterdam
    • T. Ikeda, Maximum principle in finite element models for convection-diffusion phenomena, in: Lecture Notes in Numerical and Applied Analysis, Vol. 4 (North-Holland, Amsterdam, 1983).
    • (1983) Lecture Notes in Numerical and Applied Analysis , vol.4
    • Ikeda, T.1
  • 8
    • 0022043124 scopus 로고
    • A monotone streamline upwind finite element methods for convection-dominated flows
    • J.G. Rice and R.J. Schnipke, A monotone streamline upwind finite element methods for convection-dominated flows, Comput. Methods. Appl. Mech. Engrg. 47 (1984) 313-327.
    • (1984) Comput. Methods. Appl. Mech. Engrg. , vol.47 , pp. 313-327
    • Rice, J.G.1    Schnipke, R.J.2
  • 9
    • 0027657797 scopus 로고
    • A monotone streamline upwind method for quadratic finite elements
    • D.L. Hill and E.A. Baskharone, A monotone streamline upwind method for quadratic finite elements, Int. J. Numer. Methods Fluids 17 (1993) 463-475.
    • (1993) Int. J. Numer. Methods Fluids , vol.17 , pp. 463-475
    • Hill, D.L.1    Baskharone, E.A.2
  • 11
    • 49549156305 scopus 로고
    • The modified equation approach to the stability and accuracy analysis of finite-difference method
    • R.F. Warming and B.J. Hyett, The modified equation approach to the stability and accuracy analysis of finite-difference method, J. Comput. Phys. 14 (1974) 159-179.
    • (1974) J. Comput. Phys. , vol.14 , pp. 159-179
    • Warming, R.F.1    Hyett, B.J.2
  • 13
    • 0028176250 scopus 로고
    • Treatment of numerical diffusion in strong convective flows
    • G. Arampatzis and D. Assimacopoulos, Treatment of numerical diffusion in strong convective flows, Int. J. Numer. Methods Fluids 18 (1994) 313-331.
    • (1994) Int. J. Numer. Methods Fluids , vol.18 , pp. 313-331
    • Arampatzis, G.1    Assimacopoulos, D.2
  • 15
    • 0020195163 scopus 로고
    • The numerical treatment of convection - A performance comparison of current methods
    • R.M. Smith and A.G. Hutton, The numerical treatment of convection - a performance comparison of current methods, Int. J. Numer. Methods Heat Trans. 5 (1982) 439-461.
    • (1982) Int. J. Numer. Methods Heat Trans. , vol.5 , pp. 439-461
    • Smith, R.M.1    Hutton, A.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.