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Volumn 194, Issue 1, 2005, Pages 45-81

Fourier analysis of semi-discrete and space-time stabilized methods for the advective-diffusive-reactive equation: I. SUPG

Author keywords

Advection diffusion reaction equation; Fourier stability analysis; Galerkin method; Lumping; Stabilized methods; SUPG method

Indexed keywords

ALGORITHMS; DIFFUSION; FINITE ELEMENT METHOD; GALERKIN METHODS; HEAT CONVECTION;

EID: 10244249222     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.06.004     Document Type: Article
Times cited : (28)

References (26)
  • 2
  • 3
    • 0037356855 scopus 로고    scopus 로고
    • Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems
    • F. Brezzi G. Hauke L.D. Marini G. Sangalli Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems Math. Models Methods Appl. Sci. 13 2003 445-461
    • (2003) Math. Models Methods Appl. Sci. , vol.13 , pp. 445-461
    • Brezzi, F.1    Hauke, G.2    Marini, L.D.3    Sangalli, G.4
  • 4
    • 0001078341 scopus 로고
    • Choosing bubbles for advection-diffusion problems
    • F. Brezzi A. Russo Choosing bubbles for advection-diffusion problems Math. Models Methods Appl. Sci. 4 1994 571-587
    • (1994) Math. Models Methods Appl. Sci. , vol.4 , pp. 571-587
    • Brezzi, F.1    Russo, A.2
  • 5
    • 0019607241 scopus 로고
    • Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • A.N. Brooks T.J.R. Hughes Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations Comput. Methods Appl. Mech. Engrg. 32 1982 199-259
    • (1982) Comput. Methods Appl. Mech. Engrg. , vol.32 , pp. 199-259
    • Brooks, A.N.1    Hughes, T.J.R.2
  • 7
    • 0002205834 scopus 로고    scopus 로고
    • Deriving upwinding mass, lumping and selective reduced integration by RFB
    • L.P. Franca A. Russo Deriving upwinding mass, lumping and selective reduced integration by RFB Appl. Math. Lett. 9 1996 83-88
    • (1996) Appl. Math. Lett. , vol.9 , pp. 83-88
    • Franca, L.P.1    Russo, A.2
  • 8
    • 0026835579 scopus 로고
    • Stabilized finite element methods: I. Application to the advective-diffusive model
    • L.P. Franca S.L. Frey T.J.R. Hughes Stabilized finite element methods: I. Application to the advective-diffusive model Comput. Methods Appl. Mech. Engrg. 95 1992 253-276
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.95 , pp. 253-276
    • Franca, L.P.1    Frey, S.L.2    Hughes, T.J.R.3
  • 9
    • 0034351657 scopus 로고    scopus 로고
    • On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation
    • L.P. Franca F. Valentin On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation Comput. Methods Appl. Mech. Engrg. 190 2000 1785-1800
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 1785-1800
    • Franca, L.P.1    Valentin, F.2
  • 10
    • 0016495122 scopus 로고
    • Finite element mass matrix lumping by numerical integration without convergence rate loss
    • I. Fried D.S. Malkus Finite element mass matrix lumping by numerical integration without convergence rate loss Int. J. Solids Struct. 11 1976 461-466
    • (1976) Int. J. Solids Struct. , vol.11 , pp. 461-466
    • Fried, I.1    Malkus, D.S.2
  • 11
    • 0019575119 scopus 로고
    • Don't suppress the wiggles - They're telling you something!
    • P.M. Gresho R.L. Lee Don't suppress the wiggles - They're telling you something! Comput. Fluids 9 1981 223-235
    • (1981) Comput. Fluids , vol.9 , pp. 223-235
    • Gresho, P.M.1    Lee, R.L.2
  • 13
    • 17544401569 scopus 로고
    • Advection-dominated flows, with emphasis on the consequences of mass lumping
    • P.M. Gresho R.L. Lee R.L. Sani Advection-dominated flows, with emphasis on the consequences of mass lumping Finite Element in Fluids vol. 3 1978 John Wiley London 335-350
    • (1978) Finite Element in Fluids , vol.3 , pp. 335-350
    • Gresho, P.M.1    Lee, R.L.2    Sani, R.L.3
  • 14
    • 0037177644 scopus 로고    scopus 로고
    • A simple stabilized method for the advection-diffusion-reaction equation
    • G. Hauke A simple stabilized method for the advection-diffusion-reaction equation Comput. Methods Appl. Mech. Engrg. 191 2002 2925-2947
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 2925-2947
    • Hauke, G.1
  • 15
    • 0032556080 scopus 로고    scopus 로고
    • A symmetric formulation for computing transient shallow water flows
    • G. Hauke A symmetric formulation for computing transient shallow water flows Comput. Methods Appl. Mech. Engrg. 163 1998 111-122
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.163 , pp. 111-122
    • Hauke, G.1
  • 16
    • 0037051875 scopus 로고    scopus 로고
    • A stabilized finite element method for the Saint-Venant equations with application to irrigation
    • G. Hauke A stabilized finite element method for the Saint-Venant equations with application to irrigation Int. J. Numer. Methods Fluids 38 2002 963-984
    • (2002) Int. J. Numer. Methods Fluids , vol.38 , pp. 963-984
    • Hauke, G.1
  • 17
    • 33745965783 scopus 로고    scopus 로고
    • Fourier analysis of semi-discrete and space-time stabilized methods for the advective-diffusive-reactive equation: II. SGS
    • in press. [doi:10.1016/j.cma.2004.06.005]
    • G. Hauke, M.H. Doweidar, Fourier analysis of semi-discrete and space-time stabilized methods for the advective-diffusive-reactive equation: II. SGS, Comput. Methods Appl. Mech. Engrg., in press. [doi:10.1016/j.cma.2004.06.005].
    • Comput. Methods Appl. Mech. Engrg.
    • Hauke, G.1    Doweidar, M.H.2
  • 18
    • 84893387705 scopus 로고    scopus 로고
    • Analysis of non-stationary finite elements algorithms for overland flow computations
    • Barcelona
    • G. Hauke, J.L. Lopez, Analysis of non-stationary finite elements algorithms for overland flow computations, in: ECCOMAS, Barcelona, 2000
    • (2000) ECCOMAS
    • Hauke, G.1    Lopez, J.L.2
  • 19
    • 0035955565 scopus 로고    scopus 로고
    • Variational subgrid scale formulations for the advection-diffusion-reaction equation
    • G. Hauke A. Garcia-Olivares Variational subgrid scale formulations for the advection-diffusion-reaction equation Comput. Methods Appl. Mech. Engrg. 190 2001 6847-6865
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 6847-6865
    • Hauke, G.1    Garcia-Olivares, A.2
  • 21
    • 0029405472 scopus 로고
    • Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
    • T.J.R. Hughes Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods Comput. Methods Appl. Mech. Engrg. 127 1995 387-401
    • (1995) Comput. Methods Appl. Mech. Engrg. , vol.127 , pp. 387-401
    • Hughes, T.J.R.1
  • 22
    • 45149144830 scopus 로고
    • A new finite element formulation for computational fluid dynamics: VIII. The Galerkin/least-squares method for advective-diffusive equations
    • T.J.R. Hughes L.P. Franca G. Hulbert A new finite element formulation for computational fluid dynamics: VIII. The Galerkin/least-squares method for advective-diffusive equations Comput. Methods Appl. Mech. Engrg. 73 1989 173-189
    • (1989) Comput. Methods Appl. Mech. Engrg. , vol.73 , pp. 173-189
    • Hughes, T.J.R.1    Franca, L.P.2    Hulbert, G.3
  • 23
    • 0022681271 scopus 로고
    • A new finite element formulation for computational fluid dynamics: II. Beyond SUPG
    • T.J.R. Hughes M. Mallet A. Mizukami A new finite element formulation for computational fluid dynamics: II. Beyond SUPG Comput. Methods Appl. Mech. Engrg. 54 1986 341-355
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.54 , pp. 341-355
    • Hughes, T.J.R.1    Mallet, M.2    Mizukami, A.3
  • 24
    • 45149144830 scopus 로고
    • A new finite element formulation for computational for computational fluid dynamics: III. The generalized streamline operator for multidimensional advection-diffusion systems
    • T.J.R. Hughes M. Mallet A new finite element formulation for computational for computational fluid dynamics: III. The generalized streamline operator for multidimensional advection-diffusion systems Comput. Methods Appl. Mech. Engrg. 73 1986 173-189
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.73 , pp. 173-189
    • Hughes, T.J.R.1    Mallet, M.2
  • 26
    • 0030571234 scopus 로고    scopus 로고
    • A space-time formulation for multiscale phenomena
    • T.J.R. Hughes J.R. Stewart A space-time formulation for multiscale phenomena J. Comput. Appl. Math. 74 1996 217-229
    • (1996) J. Comput. Appl. Math. , vol.74 , pp. 217-229
    • Hughes, T.J.R.1    Stewart, J.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.