메뉴 건너뛰기




Volumn 195, Issue 19-22, 2006, Pages 2599-2610

Residual a posteriori error estimator for a three-field model of a non-linear generalized Stokes problem

Author keywords

A posteriori error estimation; Generalized Stokes problem; Power law fluid

Indexed keywords

APPROXIMATION THEORY; ESTIMATION; VARIATIONAL TECHNIQUES;

EID: 33644583881     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.05.019     Document Type: Article
Times cited : (11)

References (24)
  • 1
    • 0001309064 scopus 로고    scopus 로고
    • A posteriori error estimators for the Stokes and Oseen equations
    • M. Ainsworth J.T. Oden A posteriori error estimators for the Stokes and Oseen equations SIAM J. Numer. Anal. 34 1997 228-245
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 228-245
    • Ainsworth, M.1    Oden, J.T.2
  • 2
    • 0027693136 scopus 로고
    • Numerical analysis of a three-fields model for a quasi-Newtonian flow
    • J. Baranger K. Najib D. Sandri Numerical analysis of a three-fields model for a quasi-Newtonian flow Comput. Methods Appl. Mech. Engrg. 109 1993 281-292
    • (1993) Comput. Methods Appl. Mech. Engrg. , vol.109 , pp. 281-292
    • Baranger, J.1    Najib, K.2    Sandri, D.3
  • 3
    • 85022001969 scopus 로고    scopus 로고
    • An optimal control approach to a posteriori error estimation in finite element methods
    • R. Becker R. Rannacher An optimal control approach to a posteriori error estimation in finite element methods Acta Numer. 10 2001 1-102
    • (2001) Acta Numer. , vol.10 , pp. 1-102
    • Becker, R.1    Rannacher, R.2
  • 5
    • 0034551720 scopus 로고    scopus 로고
    • How accurate is your solution? Error indicators for viscoelastic flow calculations
    • C. Chauvière R.G. Owens How accurate is your solution? Error indicators for viscoelastic flow calculations J. Non-Newton. Fluid Mech. 95 2000 1-33
    • (2000) J. Non-Newton. Fluid Mech. , vol.95 , pp. 1-33
    • Chauvière, C.1    Owens, R.G.2
  • 7
    • 33644585201 scopus 로고    scopus 로고
    • A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows
    • Preprint 02-01, Department of Mathematics, University of Concepcion. Available from:
    • G.N. Gatica, M. Gonzalez, S. Meddahi, A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows, Preprint 02-01, Department of Mathematics, University of Concepcion. Available from: , 2002.
    • (2002)
    • Gatica, G.N.1    Gonzalez, M.2    Meddahi, S.3
  • 8
    • 0033279315 scopus 로고    scopus 로고
    • Compatible spectral approximations for the velocity-pressure-stress formulation of the Stokes problem
    • M.I. Gerritsma T.N. Phillips Compatible spectral approximations for the velocity-pressure-stress formulation of the Stokes problem SIAM J. Sci. Comput. 20 4 1999 1530-1550
    • (1999) SIAM J. Sci. Comput. , vol.20 , Issue.4 , pp. 1530-1550
    • Gerritsma, M.I.1    Phillips, T.N.2
  • 12
    • 0030088260 scopus 로고    scopus 로고
    • A subdomain residual method for a posteriori error estimates of finite element solutions of viscoelastic fluid flows
    • H. Jin A subdomain residual method for a posteriori error estimates of finite element solutions of viscoelastic fluid flows Comput. Methods Appl. Mech. Engrg. 130 1996 93-113
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.130 , pp. 93-113
    • Jin, H.1
  • 13
    • 0002859777 scopus 로고
    • New equations for the description of the viscous incompressible fluids and solvability in the large of the boundary value problems for them
    • American Mathematical Society Providence, RI
    • O.A. Ladyzhenskaya New equations for the description of the viscous incompressible fluids and solvability in the large of the boundary value problems for them Boundary Value Problems of Mathematical Physics V 1970 American Mathematical Society Providence, RI
    • (1970) Boundary Value Problems of Mathematical Physics V
    • Ladyzhenskaya, O.A.1
  • 14
    • 0035579348 scopus 로고    scopus 로고
    • Mixed finite element analysis of a non-linear three-fields Stokes model
    • H. Manouzi M. Farhloul Mixed finite element analysis of a non-linear three-fields Stokes model IMA J. Numer. Anal. 21 2001 143-164
    • (2001) IMA J. Numer. Anal. , vol.21 , pp. 143-164
    • Manouzi, H.1    Farhloul, M.2
  • 16
    • 0034817636 scopus 로고    scopus 로고
    • Goal-oriented error estimation and adaptivity for the finite element method
    • J.T. Oden S. Prudhomme Goal-oriented error estimation and adaptivity for the finite element method Comp. Math. Appl. 41 5 - 6 2001 735-756
    • (2001) Comp. Math. Appl. , vol.41 , Issue.5-6 , pp. 735-756
    • Oden, J.T.1    Prudhomme, S.2
  • 17
    • 0344889117 scopus 로고    scopus 로고
    • A posteriori error estimates for spectral element solutions to viscoelastic flow problems
    • R.G. Owens A posteriori error estimates for spectral element solutions to viscoelastic flow problems Comput. Methods Appl. Mech. Engrg. 164 1998 375-395
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.164 , pp. 375-395
    • Owens, R.G.1
  • 19
    • 0035604530 scopus 로고    scopus 로고
    • Existence, a priori and a posteriori error estimates for a nonlinear three field problem arising from Oldroyd-B viscoelastic flows
    • M. Picasso J. Rappaz Existence, a priori and a posteriori error estimates for a nonlinear three field problem arising from Oldroyd-B viscoelastic flows Math. Model. Numer. Anal. 35 5 2001 879-897
    • (2001) Math. Model. Numer. Anal. , vol.35 , Issue.5 , pp. 879-897
    • Picasso, M.1    Rappaz, J.2
  • 20
    • 0026054365 scopus 로고
    • Adaptive refinement of a viscoelastic flow problem with the explicitly elliptic momentum equation
    • R.R. Rao B.A. Finlayson Adaptive refinement of a viscoelastic flow problem with the explicitly elliptic momentum equation J. Non-Newton. Fluid Mech. 38 1991 223-246
    • (1991) J. Non-Newton. Fluid Mech. , vol.38 , pp. 223-246
    • Rao, R.R.1    Finlayson, B.A.2
  • 21
    • 0032573316 scopus 로고    scopus 로고
    • A posteriori estimators for mixed finite element approximations of a fluid obeying the power law
    • D. Sandri A posteriori estimators for mixed finite element approximations of a fluid obeying the power law Comput. Methods Appl. Mech. Engrg. 166 1998 329-340
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.166 , pp. 329-340
    • Sandri, D.1
  • 22
    • 0030239418 scopus 로고    scopus 로고
    • Adaptive hp-finite element viscoelastic flow calculations
    • V. Warichet V. Legat Adaptive hp-finite element viscoelastic flow calculations Comput. Methods Appl. Mech. Engrg. 136 1996 93-110
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.136 , pp. 93-110
    • Warichet, V.1    Legat, V.2
  • 23
    • 0029107068 scopus 로고
    • High order finite element methods for steady viscoelastic flows
    • F. Yurun M.J. Crochet High order finite element methods for steady viscoelastic flows J. Non-Newton. Fluid Mech. 57 1995 283-311
    • (1995) J. Non-Newton. Fluid Mech. , vol.57 , pp. 283-311
    • Yurun, F.1    Crochet, M.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.