메뉴 건너뛰기




Volumn 36, Issue 1, 2007, Pages 92-112

Stabilized solution of the multidimensional advection-diffusion-absorption equation using linear finite elements

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHOD;

EID: 33750366484     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2005.07.003     Document Type: Article
Times cited : (24)

References (37)
  • 2
    • 0022905944 scopus 로고
    • Discontinuity-capturing finite element formulations for nonlinear convection-diffusion-reaction equations
    • Tezduyar T.E., and Park Y.J. Discontinuity-capturing finite element formulations for nonlinear convection-diffusion-reaction equations. Comput Methods Appl Mech Engrg 59 (1986) 307-325
    • (1986) Comput Methods Appl Mech Engrg , vol.59 , pp. 307-325
    • Tezduyar, T.E.1    Park, Y.J.2
  • 3
    • 0022797389 scopus 로고
    • Finite element procedures for time-dependent convection-diffusion-reaction systems
    • Tezduyar T.E., Park Y.J., and Deans H.A. Finite element procedures for time-dependent convection-diffusion-reaction systems. Int J Numer Meth Fluids 7 (1987) 1013-1033
    • (1987) Int J Numer Meth Fluids , vol.7 , pp. 1013-1033
    • Tezduyar, T.E.1    Park, Y.J.2    Deans, H.A.3
  • 5
    • 0000199487 scopus 로고    scopus 로고
    • Comparison of some finite element methods for solving the diffusion-convection-reaction equation
    • Codina R. Comparison of some finite element methods for solving the diffusion-convection-reaction equation. Comput Methods Appl Mech Engrg 156 (1998) 186-210
    • (1998) Comput Methods Appl Mech Engrg , vol.156 , pp. 186-210
    • Codina, R.1
  • 6
    • 0034234161 scopus 로고    scopus 로고
    • On stabilized finite element methods for linear systems of convection-diffusion-reaction equations
    • Codina R. On stabilized finite element methods for linear systems of convection-diffusion-reaction equations. Comput Meth Appl Mech Engrg 188 (2000) 61-82
    • (2000) Comput Meth Appl Mech Engrg , vol.188 , pp. 61-82
    • Codina, R.1
  • 7
    • 0037135317 scopus 로고    scopus 로고
    • Nonlinear diffusion and discrete maxium principle for stabilized Galerkin approximations of the convection-diffusion-reaction equation
    • Burman E., and Ern A. Nonlinear diffusion and discrete maxium principle for stabilized Galerkin approximations of the convection-diffusion-reaction equation. Comput Meth Appl Mech Engrg 191 (2002) 3833-3855
    • (2002) Comput Meth Appl Mech Engrg , vol.191 , pp. 3833-3855
    • Burman, E.1    Ern, A.2
  • 8
    • 0026153971 scopus 로고
    • Finite element methods for the Helmholtz equation in an exterior domain: model problems
    • Harari I., and Hughes T.J.R. Finite element methods for the Helmholtz equation in an exterior domain: model problems. Comput Meth Appl Mech Engrg 87 (1991) 59-96
    • (1991) Comput Meth Appl Mech Engrg , vol.87 , pp. 59-96
    • Harari, I.1    Hughes, T.J.R.2
  • 9
    • 0000288806 scopus 로고
    • Galerkin/least squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains
    • Harari I., and Hughes T.J.R. Galerkin/least squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains. Comput Meth Appl Mech Engrg 98 (1992) 411-454
    • (1992) Comput Meth Appl Mech Engrg , vol.98 , pp. 411-454
    • Harari, I.1    Hughes, T.J.R.2
  • 10
    • 0028431239 scopus 로고
    • Stabilized finite element method for steady advection-diffusion with production
    • Harari I., and Hughes T.J.R. Stabilized finite element method for steady advection-diffusion with production. Comput Meth Appl Mech Engrg 115 (1994) 165-191
    • (1994) Comput Meth Appl Mech Engrg , vol.115 , pp. 165-191
    • Harari, I.1    Hughes, T.J.R.2
  • 12
    • 0035955565 scopus 로고    scopus 로고
    • Variational subgrid scale formulations for the advection-diffusion-reaction equation
    • Hauke G., and Garcia-Olivares A. Variational subgrid scale formulations for the advection-diffusion-reaction equation. Comput Methods Appl Mech Engrg 190 (2000) 6847-6865
    • (2000) Comput Methods Appl Mech Engrg , vol.190 , pp. 6847-6865
    • Hauke, G.1    Garcia-Olivares, A.2
  • 13
    • 0037177644 scopus 로고    scopus 로고
    • A simple subgrid scale stabilized method for the advection-diffusion reaction equation. Comput
    • Hauke G. A simple subgrid scale stabilized method for the advection-diffusion reaction equation. Comput. Methods Appl Mech Engrg 191 (2002) 2925-2947
    • (2002) Methods Appl Mech Engrg , vol.191 , pp. 2925-2947
    • Hauke, G.1
  • 14
    • 33646178173 scopus 로고    scopus 로고
    • Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems
    • World Scientific Publishing Company
    • Brezzi F., Hauke G., Marin L.D., and Sangalli S. Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems. Math Models Methods Appl Sci (2002), World Scientific Publishing Company
    • (2002) Math Models Methods Appl Sci
    • Brezzi, F.1    Hauke, G.2    Marin, L.D.3    Sangalli, S.4
  • 15
    • 33750308295 scopus 로고    scopus 로고
    • Felippa CA, Oñate E. Nodally exact Ritz discretization of 1D diffusion-absorption and Helmholtz equations by variational FIC and modified equation methods. Research Report No. PI 237, CIMNE, Barcelona 2004. Comput Mech, in print, CM-05-0155.
  • 16
    • 0030131482 scopus 로고    scopus 로고
    • Petrov-Galerkin methods for the transient advective-diffusive equation with sharp gradients
    • Idelsohn S.R., Heinrich J.C., and Oñate E. Petrov-Galerkin methods for the transient advective-diffusive equation with sharp gradients. Int J Numer Meth Engng 39 (1996) 1455-1473
    • (1996) Int J Numer Meth Engng , vol.39 , pp. 1455-1473
    • Idelsohn, S.R.1    Heinrich, J.C.2    Oñate, E.3
  • 17
    • 33646188612 scopus 로고    scopus 로고
    • Stability of semidiscrete advection-diffusion in transient computation
    • Yao Z.H., Yuan M.W., and Zhong W.X. (Eds), Tsinghua Univ. Press-Springer
    • Harari I. Stability of semidiscrete advection-diffusion in transient computation. In: Yao Z.H., Yuan M.W., and Zhong W.X. (Eds). Proceedings of 6th World Congress on Computational Mechanics, Beijing, September (2004), Tsinghua Univ. Press-Springer
    • (2004) Proceedings of 6th World Congress on Computational Mechanics, Beijing, September
    • Harari, I.1
  • 18
    • 33750287376 scopus 로고    scopus 로고
    • Oñate E, Miquel J, Hauke G. Stabilized formulation for the advection-diffusion-reaction equations using finite calculus and linear finite elements. Comput Methods Appl Mech Engrg, submitted for publication.
  • 19
    • 0031965628 scopus 로고    scopus 로고
    • Derivation of stabilized equations for advective-diffusive transport and fluid flow problems
    • Oñate E. Derivation of stabilized equations for advective-diffusive transport and fluid flow problems. Comput Methods Appl Mech Engrg 151 1-2 (1998) 233-267
    • (1998) Comput Methods Appl Mech Engrg , vol.151 , Issue.1-2 , pp. 233-267
    • Oñate, E.1
  • 20
    • 2342564411 scopus 로고    scopus 로고
    • Possibilities of finite calculus in computational mechanics
    • Oñate E. Possibilities of finite calculus in computational mechanics. Int J Numer Meth Engng 60 (2004) 255-281
    • (2004) Int J Numer Meth Engng , vol.60 , pp. 255-281
    • Oñate, E.1
  • 21
    • 5544286556 scopus 로고    scopus 로고
    • A general procedure for deriving stabilized space-time finite element methods for advective-diffusive problems
    • Oñate E., and Manzan M. A general procedure for deriving stabilized space-time finite element methods for advective-diffusive problems. Int J Numer Meth Fluids 31 (1999) 203-221
    • (1999) Int J Numer Meth Fluids , vol.31 , pp. 203-221
    • Oñate, E.1    Manzan, M.2
  • 22
    • 0030294780 scopus 로고    scopus 로고
    • A finite point method in computational mechanics. Applications to convective transport and fluid flow
    • Oñate E., Idelsohn S.R., Zienkiewicz O.C., and Taylor R.L. A finite point method in computational mechanics. Applications to convective transport and fluid flow. Int J Numer Meth Engng 39 (1996) 3839-3866
    • (1996) Int J Numer Meth Engng , vol.39 , pp. 3839-3866
    • Oñate, E.1    Idelsohn, S.R.2    Zienkiewicz, O.C.3    Taylor, R.L.4
  • 23
    • 0342264461 scopus 로고    scopus 로고
    • A stabilized finite element method for incompressible viscous flows using a finite increment calculus formulation
    • Oñate E. A stabilized finite element method for incompressible viscous flows using a finite increment calculus formulation. Comput Methods Appl Mech Engrg 182 1-2 (2000) 355-370
    • (2000) Comput Methods Appl Mech Engrg , vol.182 , Issue.1-2 , pp. 355-370
    • Oñate, E.1
  • 24
    • 0035824603 scopus 로고    scopus 로고
    • A finite element method for fluid-structure interaction with surface waves using a finite calculus formulation
    • Oñate E., and García J. A finite element method for fluid-structure interaction with surface waves using a finite calculus formulation. Comput Methods Appl Mech Engrg 191 6-7 (2001) 635-660
    • (2001) Comput Methods Appl Mech Engrg , vol.191 , Issue.6-7 , pp. 635-660
    • Oñate, E.1    García, J.2
  • 25
    • 0037401525 scopus 로고    scopus 로고
    • A Lagrangian meshless finite element method applied to fluid-structure interaction problems
    • Idelsohn S.R., Oñate E., and Del Pin F. A Lagrangian meshless finite element method applied to fluid-structure interaction problems. Comput Struct 81 (2003) 655-671
    • (2003) Comput Struct , vol.81 , pp. 655-671
    • Idelsohn, S.R.1    Oñate, E.2    Del Pin, F.3
  • 26
  • 27
    • 2342465647 scopus 로고    scopus 로고
    • Ship hydrodynamics
    • Hughes T., de Borst R., and Stein E. (Eds), J. Wiley Chapter 18
    • Oñate E., García J., and Idelsohn S.R. Ship hydrodynamics. In: Hughes T., de Borst R., and Stein E. (Eds). Encyclopedia of computational mechanics Vol. 3 (2004), J. Wiley 579-607 Chapter 18
    • (2004) Encyclopedia of computational mechanics , vol.3 , pp. 579-607
    • Oñate, E.1    García, J.2    Idelsohn, S.R.3
  • 28
    • 0142009998 scopus 로고    scopus 로고
    • A residual correction method based on finite calculus
    • Oñate E., Taylor R.L., Zienkiewicz O.C., and Rojek J. A residual correction method based on finite calculus. Eng Comput 20 5/6 (2003) 629-658
    • (2003) Eng Comput , vol.20 , Issue.5-6 , pp. 629-658
    • Oñate, E.1    Taylor, R.L.2    Zienkiewicz, O.C.3    Rojek, J.4
  • 29
    • 1842843068 scopus 로고    scopus 로고
    • Finite calculus formulation for analysis of incompressible solids using linear triangles and tetrahedra
    • Oñate E., Rojek J., Taylor R.L., and Zienkiewicz O.C. Finite calculus formulation for analysis of incompressible solids using linear triangles and tetrahedra. Int J Numer Meth Engng 59 11 (2004) 1473-1500
    • (2004) Int J Numer Meth Engng , vol.59 , Issue.11 , pp. 1473-1500
    • Oñate, E.1    Rojek, J.2    Taylor, R.L.3    Zienkiewicz, O.C.4
  • 30
    • 33750335415 scopus 로고    scopus 로고
    • Oñate E, Zárate F, Idelsohn SR. Finite element formulation for convection-diffusion problems with sharp gradients using finite calculus. Comput Meth Appl Mech Engng, submitted for publication.
  • 31
    • 0022811673 scopus 로고
    • A new finite element formulations for computational fluid dynamics: IV. A discontinuity capturing operator for multidimensional advective-diffusive system
    • Hughes T.J.R., and Mallet M. A new finite element formulations for computational fluid dynamics: IV. A discontinuity capturing operator for multidimensional advective-diffusive system. Comput Methods Appl Mech Engrg 58 (1986) 329-336
    • (1986) Comput Methods Appl Mech Engrg , vol.58 , pp. 329-336
    • Hughes, T.J.R.1    Mallet, M.2
  • 32
    • 0027790974 scopus 로고
    • A discontinuity-capturing crosswind dissipation for the finite element solution of the convection-diffusion equation
    • Codina R. A discontinuity-capturing crosswind dissipation for the finite element solution of the convection-diffusion equation. Comput Methods Appl Mech Engrg 110 (1993) 325-342
    • (1993) Comput Methods Appl Mech Engrg , vol.110 , pp. 325-342
    • Codina, R.1
  • 33
    • 0022681271 scopus 로고
    • A new finite element formulation for comptutational fluid dynamics: II Beyond SUPG
    • Hughes T.J.R., Mallet M., and Mizukami A. A new finite element formulation for comptutational 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
  • 34
    • 0024013977 scopus 로고
    • A consistent approximate upwind Petrov-Galerkin method for convection-dominated problems
    • Galeão A.C., and Dutra do Carmo E.G. A consistent approximate upwind Petrov-Galerkin method for convection-dominated problems. Comput Methods Appl Mech Engrg 68 (1988) 83-95
    • (1988) Comput Methods Appl Mech Engrg , vol.68 , pp. 83-95
    • Galeão, A.C.1    Dutra do Carmo, E.G.2
  • 35
    • 33750346538 scopus 로고    scopus 로고
    • Tezduyar TE. Adaptive determination of the finite element stabilization parameters. Proceedings of the ECCOMAS Computational Fluid Dynamics Conference 2001, Swansea, Wales, UK, CD-Rom, 2001.
  • 36
    • 0242338413 scopus 로고    scopus 로고
    • Computation of moving boundaries and interfaces and stabilization parameters
    • Tezduyar T.E. Computation of moving boundaries and interfaces and stabilization parameters. Int J Numer Methods Fluid 43 (2003) 555-575
    • (2003) Int J Numer Methods Fluid , vol.43 , pp. 555-575
    • Tezduyar, T.E.1
  • 37
    • 33750296687 scopus 로고    scopus 로고
    • Oñate E, García J, Idelsohn S, Del Pin F. FIC formulation for finite element analysis of incompressible flows. Eulerian, Lagrangian and ALE approaches. Comput Methods Appl Mech Eng, in press.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.