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Volumn 203, Issue 2, 2008, Pages 745-753

On a multi-scale element-free Galerkin method for the Stokes problem

Author keywords

EFG; HVM; Multi scale method; Stabilization; Two level method

Indexed keywords

GALERKIN METHODS; NUMERICAL ANALYSIS;

EID: 51549088767     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.05.081     Document Type: Article
Times cited : (45)

References (20)
  • 2
    • 14744288753 scopus 로고    scopus 로고
    • Tsinghua University Press, Beijing
    • Zhang X., and Liu Y. Meshless Methods (2004), Tsinghua University Press, Beijing
    • (2004) Meshless Methods
    • Zhang, X.1    Liu, Y.2
  • 5
    • 0030571226 scopus 로고    scopus 로고
    • Smoothing and accelerated computations in the element-free Galerkin method
    • Belytschko T., Krongauz Y., and Fleming M. Smoothing and accelerated computations in the element-free Galerkin method. J. Comput. Appl. Math. 74 (1996) 111-126
    • (1996) J. Comput. Appl. Math. , vol.74 , pp. 111-126
    • Belytschko, T.1    Krongauz, Y.2    Fleming, M.3
  • 6
    • 0031119696 scopus 로고    scopus 로고
    • Moving least square kernel methods: (I) Methodology and convergence
    • Liu W.K., Li S., and Belytschko T. Moving least square kernel methods: (I) Methodology and convergence. Comput. Meth. Appl. Mech. Engrg. 143 (1997) 113-154
    • (1997) Comput. Meth. Appl. Mech. Engrg. , vol.143 , pp. 113-154
    • Liu, W.K.1    Li, S.2    Belytschko, T.3
  • 7
    • 0029405472 scopus 로고
    • Multiscale phenomena: Green's function, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
    • Hughes T.J.R. Multiscale phenomena: Green's function, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods. Comput. Meth. Appl. Mech. Engrg. 127 (1995) 387-401
    • (1995) Comput. Meth. Appl. Mech. Engrg. , vol.127 , pp. 387-401
    • Hughes, T.J.R.1
  • 9
    • 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. Meth. Appl. Mech. Engrg. 190 (2001) 6847-6865
    • (2001) Comput. Meth. Appl. Mech. Engrg. , vol.190 , pp. 6847-6865
    • Hauke, G.1    Garcia-Olivares, A.2
  • 10
    • 1842636700 scopus 로고    scopus 로고
    • A multiscale/stabilized finite element method for the advection-diffusion equation
    • Masud A., and Khurram R.A. A multiscale/stabilized finite element method for the advection-diffusion equation. Comput. Meth. Appl. Mech. Engrg. 193 (2004) 1997-2018
    • (2004) Comput. Meth. Appl. Mech. Engrg. , vol.193 , pp. 1997-2018
    • Masud, A.1    Khurram, R.A.2
  • 11
    • 30944434045 scopus 로고    scopus 로고
    • A multiscale finite element method for the incompressible Navier-Stokes equations
    • Masud A., and Khurram R.A. A multiscale finite element method for the incompressible Navier-Stokes equations. Comput. Meth. Appl. Mech. Engrg. 195 (2006) 1750-1777
    • (2006) Comput. Meth. Appl. Mech. Engrg. , vol.195 , pp. 1750-1777
    • Masud, A.1    Khurram, R.A.2
  • 12
    • 0032515205 scopus 로고    scopus 로고
    • On the stability of residual-free bubbles for convection-diffusion problems and their approximation by a two-level finite element method
    • Franca L.P., Nesliturk A., and Stynes M. On the stability of residual-free bubbles for convection-diffusion problems and their approximation by a two-level finite element method. Comput. Meth. Appl. Mech. Engrg. 166 (1998) 35-49
    • (1998) Comput. Meth. Appl. Mech. Engrg. , vol.166 , pp. 35-49
    • Franca, L.P.1    Nesliturk, A.2    Stynes, M.3
  • 13
    • 0035840993 scopus 로고    scopus 로고
    • On a two-level finite element method for the incompressible Navier-Stokes equations
    • Franca L.P., and Nesliturk A. On a two-level finite element method for the incompressible Navier-Stokes equations. Int. J. Numer. Meth. Engrg. 52 (2001) 433-453
    • (2001) Int. J. Numer. Meth. Engrg. , vol.52 , pp. 433-453
    • Franca, L.P.1    Nesliturk, A.2
  • 14
    • 51549091256 scopus 로고    scopus 로고
    • A. Nesliturk, Approximating the incompressible Navier-Stokes equations using a two level finite element method, Ph.D. Thesis, Univ. Of Colorado, Denver, 1999.
    • A. Nesliturk, Approximating the incompressible Navier-Stokes equations using a two level finite element method, Ph.D. Thesis, Univ. Of Colorado, Denver, 1999.
  • 15
    • 33644527883 scopus 로고    scopus 로고
    • A variational multiscale stabilized finite element method for the Stokes flow problem
    • Liu X.H., and Li S.F. A variational multiscale stabilized finite element method for the Stokes flow problem. Finite Element Anal. Design 42 (2006) 580-591
    • (2006) Finite Element Anal. Design , vol.42 , pp. 580-591
    • Liu, X.H.1    Li, S.F.2
  • 16
    • 13844316933 scopus 로고    scopus 로고
    • Meshfree analysis of softening elastoplastic solids using variational multiscale method
    • Yeon J.-H., and Youn S.-K. Meshfree analysis of softening elastoplastic solids using variational multiscale method. Int. J. Solid Struct. 42 (2005) 4030-4057
    • (2005) Int. J. Solid Struct. , vol.42 , pp. 4030-4057
    • Yeon, J.-H.1    Youn, S.-K.2
  • 17
    • 0028400170 scopus 로고
    • A new implementation of the element-free Galerkin method
    • Lu Y.Y., Belytschko T., and Gu L. A new implementation of the element-free Galerkin method. Comput. Meth. Appl. Mech. Engrg. 113 (1994) 397-414
    • (1994) Comput. Meth. Appl. Mech. Engrg. , vol.113 , pp. 397-414
    • Lu, Y.Y.1    Belytschko, T.2    Gu, L.3
  • 18
    • 0000515005 scopus 로고
    • A computational model for nucleation of the solid-solid phase transformations
    • Chu Y.A., and Moran B. A computational model for nucleation of the solid-solid phase transformations. Modell. Simul. Mater. Sci. Engrg. 3 (1995) 455-471
    • (1995) Modell. Simul. Mater. Sci. Engrg. , vol.3 , pp. 455-471
    • Chu, Y.A.1    Moran, B.2
  • 19
    • 0029507340 scopus 로고
    • A coupled finite element-element-free Galerkin method
    • Belytschko T., Organ D., and Krongauz Y. A coupled finite element-element-free Galerkin method. Comput. Mech. 17 (1995) 186-195
    • (1995) Comput. Mech. , vol.17 , pp. 186-195
    • Belytschko, T.1    Organ, D.2    Krongauz, Y.3
  • 20
    • 1842526870 scopus 로고    scopus 로고
    • Pseudo-divergence-free element free Galerkin method for incompressible fluid flow
    • Huerta A., Vidal Y., and Villon P. Pseudo-divergence-free element free Galerkin method for incompressible fluid flow. Comput. Meth. Appl. Mech. Engrg. 193 (2004) 1119-1136
    • (2004) Comput. Meth. Appl. Mech. Engrg. , vol.193 , pp. 1119-1136
    • Huerta, A.1    Vidal, Y.2    Villon, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.