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Volumn 193, Issue 15-16, 2004, Pages 1471-1489

On inf-sup stabilized finite element methods for transient problems

Author keywords

Coercivity; Multiple time scales; Stabilized finite element methods; Time dependent Stokes equations; Weak form

Indexed keywords

ALGORITHMS; COMPUTER AIDED ANALYSIS; FLUID DYNAMICS; NUMERICAL ANALYSIS; PRESSURE EFFECTS; PROBLEM SOLVING;

EID: 2042488782     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2003.12.034     Document Type: Article
Times cited : (45)

References (32)
  • 1
    • 85140869992 scopus 로고    scopus 로고
    • A taxonomy of consistently stabilized finite element methods for the Stokes problem
    • submitted for publication
    • T. Barth, P. Bochev, M. Gunzburger, J. Shadid, A taxonomy of consistently stabilized finite element methods for the Stokes problem, SIAM J. Sci. Comput., submitted for publication
    • SIAM J. Sci. Comput.
    • Barth, T.1    Bochev, P.2    Gunzburger, M.3    Shadid, J.4
  • 3
    • 2042477032 scopus 로고    scopus 로고
    • Personal communication
    • M. Behr, Personal communication, 2001
    • (2001)
    • Behr, M.1
  • 4
    • 0027574109 scopus 로고
    • Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows
    • Behr M.A. Franca L.P. Tezduyar T.E. Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows Comput. Methods Appl. Mech. Engrg. 104 1993 31-48
    • (1993) Comput. Methods Appl. Mech. Engrg. , vol.104 , pp. 31-48
    • Behr, M.A.1    Franca, L.P.2    Tezduyar, T.E.3
  • 5
    • 0034681607 scopus 로고    scopus 로고
    • Stabilized finite element method for the transient Navier-Stokes equations based on a pressure gradient projection
    • Blasco J. Codina R. Stabilized finite element method for the transient Navier-Stokes equations based on a pressure gradient projection Comput. Methods Appl. Mech. Engrg. 182 2000 277-300
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.182 , pp. 277-300
    • Blasco, J.1    Codina, R.2
  • 6
    • 0035451015 scopus 로고    scopus 로고
    • Space and time error estimates for a first-order, pressure stabilized finite element method for the incompressible Navier-Stokes equations
    • Blasco J. Codina R. Space and time error estimates for a first-order, pressure stabilized finite element method for the incompressible Navier-Stokes equations Appl. Numer. Math. 38 2001 475-497
    • (2001) Appl. Numer. Math. , vol.38 , pp. 475-497
    • Blasco, J.1    Codina, R.2
  • 7
    • 2042505400 scopus 로고    scopus 로고
    • On stabilized finite element methods for transient problems with varying time scales
    • J. Eberhardsteiner, H. Mang, F. Rammerstorfer (Eds.), Vienna, Austria, 7-12 July Vienna, TU Technical University, Vienna
    • P. Bochev, M. Gunzburger, J. Shadid, On stabilized finite element methods for transient problems with varying time scales, in: J. Eberhardsteiner, H. Mang, F. Rammerstorfer (Eds.), Proceedings of the Fifth World Congress on Computational Mechanics, Vienna, Austria, 7-12 July 2002, TU Vienna, Technical University, Vienna
    • (2002) Proceedings of the Fifth World Congress on Computational Mechanics
    • Bochev, P.1    Gunzburger, M.2    Shadid, J.3
  • 8
    • 0034094235 scopus 로고    scopus 로고
    • The antidissipative, non-monotone behavior of Petrov-Galerkin upwinding
    • Bradford S.F. Katopodes N.D. The antidissipative, non-monotone behavior of Petrov-Galerkin upwinding Int. J. Numer. Methods Fluids 33 2000 583-608
    • (2000) Int. J. Numer. Methods Fluids , vol.33 , pp. 583-608
    • Bradford, S.F.1    Katopodes, N.D.2
  • 9
    • 0016093926 scopus 로고
    • On existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers
    • Brezzi F. On existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers RAIRO Model. Math. Anal. Numer. 21 1974 129-151
    • (1974) RAIRO Model. Math. Anal. Numer. , vol.21 , pp. 129-151
    • Brezzi, F.1
  • 10
    • 0000698561 scopus 로고
    • Stabilized mixed methods for the Stokes problem
    • Brezzi F. Douglas J. Stabilized mixed methods for the Stokes problem Numer. Math. 53 1988 225-235
    • (1988) Numer. Math. , vol.53 , pp. 225-235
    • Brezzi, F.1    Douglas, J.2
  • 12
    • 84966220003 scopus 로고
    • An absolutely stabilized finite element method for the Stokes problem
    • Douglas J. Wang J. An absolutely stabilized finite element method for the Stokes problem Math. Comput. 1989 52-495
    • (1989) Math. Comput. , pp. 52-495
    • Douglas, J.1    Wang, J.2
  • 13
    • 0026835579 scopus 로고
    • Stabilized finite element methods: I. Application to the advective-diffusive model
    • Franca L. Frey S. Hughes T. 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.1    Frey, S.2    Hughes, T.3
  • 14
    • 0026928030 scopus 로고
    • Stabilized finite element methods: II. The incompressible Navier-Stokes equations
    • Franca L. Frey S. Stabilized finite element methods: II. The incompressible Navier-Stokes equations Comput. Methods Appl. Mech. Engrg. 99 1991 209-233
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.99 , pp. 209-233
    • Franca, L.1    Frey, S.2
  • 16
    • 0029310925 scopus 로고
    • Bubble functions prompt unusual stabilized finite element methods
    • Franca L.P. Farhat C. Bubble functions prompt unusual stabilized finite element methods Comput. Methods Appl. Mech. Engrg. 123 1995 299-308
    • (1995) Comput. Methods Appl. Mech. Engrg. , vol.123 , pp. 299-308
    • Franca, L.P.1    Farhat, C.2
  • 17
    • 0034351657 scopus 로고    scopus 로고
    • On an improved unusual stabilized finite element method for advective-reactive-diffusive equations
    • Franca L.P. Valentin F. On an improved unusual stabilized finite element method for advective-reactive-diffusive equations Comput. Methods Appl. Mech. Engrg. 189 2000 1785-1800
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.189 , pp. 1785-1800
    • Franca, L.P.1    Valentin, F.2
  • 18
    • 16544385999 scopus 로고    scopus 로고
    • Spatial stability of semidiscrete formulations for parabolic problems
    • J. Eberhardsteiner, H. Mang, F. Rammerstorfer (Eds.), Vienna, Austria, 7-12 July 2002, TU Vienna, Technical University, Vienna
    • I. Harari, Spatial stability of semidiscrete formulations for parabolic problems, in: J. Eberhardsteiner, H. Mang, F. Rammerstorfer (Eds.), Proceedings of the Fifth World Congress on Computational Mechnics, Vienna, Austria, 7-12 July 2002, TU Vienna, Technical University, Vienna
    • Proceedings of the Fifth World Congress on Computational Mechnics
    • Harari, I.1
  • 19
    • 2042455855 scopus 로고    scopus 로고
    • Stability of semidiscrete formulations for parabolic problems at small time steps
    • in press
    • I. Harari, Stability of semidiscrete formulations for parabolic problems at small time steps, Comput. Methods Appl. Mech. Engrg., in press
    • Comput. Methods Appl. Mech. Engrg.
    • Harari, I.1
  • 20
    • 0029405472 scopus 로고
    • Multiscale phenomena: Green's function, the Dirichlet-to-Neumann map, subgrid scale models, bubbles and the origins of stabilized methods
    • Hughes T.J.R. Multiscale phenomena: Green's function, the Dirichlet-to-Neumann map, 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
  • 21
    • 0020259662 scopus 로고
    • A theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions: Application to the streamline-upwind procedure
    • R. H. Gallagher (Ed.), : J. Willey - Sons
    • Hughes T.J.R. Brooks A. A theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions: Application to the streamline-upwind procedure Gallagher R.H., et-al. Finite Elements in Fluids vol. 4 1982 47-65 J. Willey - Sons
    • (1982) Finite Elements in Fluids , vol.4 , pp. 47-65
    • Hughes, T.J.R.1    Brooks, A.2
  • 23
    • 0023450642 scopus 로고
    • A new finite element formulation for computational fluid dynamics: VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity pressure spaces
    • Hughes T.J.R. Franca L. A new finite element formulation for computational fluid dynamics: VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity pressure spaces Comput. Methods Appl. Mech. Engrg. 65 1987 85-96
    • (1987) Comput. Methods Appl. Mech. Engrg. , vol.65 , pp. 85-96
    • Hughes, T.J.R.1    Franca, L.2
  • 24
    • 0022810283 scopus 로고
    • A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuska-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
    • Hughes T.J.R. Franca L. Balestra M. A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuska-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations Comput. Methods Appl. Mech. Engrg. 59 1986 85-99
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.59 , pp. 85-99
    • Hughes, T.J.R.1    Franca, L.2    Balestra, M.3
  • 25
    • 0022681271 scopus 로고
    • A new finite element formulation for computational fluid dynamics: II. Beyond SUPG
    • Hughes T.J.R. Mallet M. Mizukami A. 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
  • 26
    • 0037177656 scopus 로고    scopus 로고
    • Galerkin gradient least-squares formulations for transient conduction heat transfer
    • Ilinica F. Hetu J.-F. Galerkin gradient least-squares formulations for transient conduction heat transfer Comput. Methods Appl. Mech. Engrg. 191 2002 3073-3097
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 3073-3097
    • Ilinica, F.1    Hetu, J.-F.2
  • 30
    • 0026155973 scopus 로고
    • A new finite element formulation for computational fluid dynamics: IX. fourier analysis of space-time Galerkin/least-squares algorithms
    • Shakib F. Hughes T.J.R. A new finite element formulation for computational fluid dynamics: IX. fourier analysis of space-time Galerkin/least-squares algorithms Comput. Methods Appl. Mech. Engrg. 87 1991 35-58
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.87 , pp. 35-58
    • Shakib, F.1    Hughes, T.J.R.2
  • 31
    • 0026206734 scopus 로고
    • A new finite element formulation for computational fluid dynamics: X. the compressible Euler and Navier-Stokes equations
    • Shakib F. Hughes T.J.R. Johan Z. A new finite element formulation for computational fluid dynamics: X. the compressible Euler and Navier-Stokes equations Comput. Methods Appl. Mech. Engrg. 89 1991 141-219
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.89 , pp. 141-219
    • Shakib, F.1    Hughes, T.J.R.2    Johan, Z.3
  • 32
    • 0034287411 scopus 로고    scopus 로고
    • Finite element stabilization parameters computed from element matrices and vectors
    • Tezduyar T. Osawa Y. Finite element stabilization parameters computed from element matrices and vectors Comput. Methods Appl. Mech. Engrg. 190 2000 411-430
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 411-430
    • Tezduyar, T.1    Osawa, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.