메뉴 건너뛰기




Volumn 33, Issue 4, 2000, Pages 583-608

The anti-dissipative, non-monotone behavior of Petrov-Galerkin upwinding

Author keywords

Non monotone; Petrov Galerkin; Upwinding method

Indexed keywords

DAMPING; EQUATIONS OF MOTION; GALERKIN METHODS; HEURISTIC METHODS; OPTIMIZATION; OSCILLATIONS;

EID: 0034094235     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/1097-0363(20000630)33:4<583::AID-FLD23>3.0.CO;2-W     Document Type: Article
Times cited : (13)

References (11)
  • 1
    • 0020259662 scopus 로고
    • A theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions: Application to the streamline-upwind procedure
    • Hughes TJR, Brooks A. A theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions: application to the streamline-upwind procedure. Finite Elements in Fluids 1982; 4: 47-65.
    • (1982) Finite Elements in Fluids , vol.4 , pp. 47-65
    • Hughes, T.J.R.1    Brooks, A.2
  • 2
    • 0021408432 scopus 로고
    • A dissipative Galerkin scheme for open-channel flow
    • Katopodes ND. A dissipative Galerkin scheme for open-channel flow. Journal of Hydraulic Engineering 1984a; 110: 450-466.
    • (1984) Journal of Hydraulic Engineering , vol.110 , pp. 450-466
    • Katopodes, N.D.1
  • 3
    • 0021469403 scopus 로고
    • Fourier analysis of dissipative FEM channel flow model
    • Katopodes ND. Fourier analysis of dissipative FEM channel flow model. Journal of Hydraulic Engineering 1984b; 110: 927-944.
    • (1984) Journal of Hydraulic Engineering , vol.110 , pp. 927-944
    • Katopodes, N.D.1
  • 4
    • 0007435662 scopus 로고
    • Selective damping in a Galerkin method for solving wave problems with variable grids
    • Raymond WH, Garder A. Selective damping in a Galerkin method for solving wave problems with variable grids. Monthly Weather Review 1976; 104: 1583-1590.
    • (1976) Monthly Weather Review , vol.104 , pp. 1583-1590
    • Raymond, W.H.1    Garder, A.2
  • 5
    • 0008177893 scopus 로고
    • A monotone Petrov-Galerkin method for quasilinear parabolic differential equations
    • Bøe Ø. A monotone Petrov-Galerkin method for quasilinear parabolic differential equations. SIAM Journal on Scientific Computing 1993; 14: 1057-1071.
    • (1993) SIAM Journal on Scientific Computing , vol.14 , pp. 1057-1071
    • Bøe, Ø.1
  • 6
    • 0027804298 scopus 로고
    • The Courant and Peclet number criteria for the numerical solution of the Richard's equation
    • El Kadi AI, Ling G. The Courant and Peclet number criteria for the numerical solution of the Richard's equation. Water Resources Research 1993; 29: 3485-3494.
    • (1993) Water Resources Research , vol.29 , pp. 3485-3494
    • El Kadi, A.I.1    Ling, G.2
  • 7
    • 0028315663 scopus 로고
    • A Eularian-Lagrangian approach with an adaptively corrected method of characteristics to simulate variably saturated water flow
    • Huang K, Zhang R, van Genuchten MT. A Eularian-Lagrangian approach with an adaptively corrected method of characteristics to simulate variably saturated water flow. Water Resources Research 1994; 30: 499-507.
    • (1994) Water Resources Research , vol.30 , pp. 499-507
    • Huang, K.1    Zhang, R.2    Van Genuchten, M.T.3
  • 9
    • 0021513424 scopus 로고
    • High resolution schemes using flux limiters for hyperbolic conservation laws
    • Sweby PK. High resolution schemes using flux limiters for hyperbolic conservation laws. SIAM Journal of Numerical Analysis 1984; 21: 995-1011.
    • (1984) SIAM Journal of Numerical Analysis , vol.21 , pp. 995-1011
    • Sweby, P.K.1
  • 10
    • 2442433925 scopus 로고
    • Towards the ultimate conservative difference scheme. V. A second order sequel to Godunov's method
    • van Leer B. Towards the ultimate conservative difference scheme. V. A second order sequel to Godunov's method. Journal of Computational Physics 1979; 32: 101-136.
    • (1979) Journal of Computational Physics , vol.32 , pp. 101-136
    • Van Leer, B.1
  • 11
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors, and difference schemes
    • Roe PL. Approximate Riemann solvers, parameter vectors, and difference schemes. Journal of Computational Physics 1981; 43: 357-372.
    • (1981) Journal of Computational Physics , vol.43 , pp. 357-372
    • Roe, P.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.