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Volumn 61, Issue 11, 2004, Pages 1835-1859

A posteriori finite element bounds to linear functional outputs of the three-dimensional Navier-Stokes equations

Author keywords

Crouzeix Raviart elements; Low Reynolds flows; Output bounds

Indexed keywords

ERROR ANALYSIS; FINITE ELEMENT METHOD; FLOW OF FLUIDS; FUNCTIONS; LINEARIZATION; MATHEMATICAL MODELS; NEWTONIAN LIQUIDS; PROBLEM SOLVING; REYNOLDS NUMBER;

EID: 9344251088     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1132     Document Type: Article
Times cited : (6)

References (22)
  • 1
    • 0042255750 scopus 로고
    • A unified approach to a posteriori error estimation using element residual methods
    • Ainsworth M, Oden JT. A unified approach to a posteriori error estimation using element residual methods. Numerische Mathematik 1993; 65:23-50.
    • (1993) Numerische Mathematik , vol.65 , pp. 23-50
    • Ainsworth, M.1    Oden, J.T.2
  • 2
    • 34249971216 scopus 로고
    • A posteriori error estimators for the Stokes equations
    • Verfürth R. A posteriori error estimators for the Stokes equations. Numerische Mathematik 1989; 55:309-325.
    • (1989) Numerische Mathematik , vol.55 , pp. 309-325
    • Verfürth, R.1
  • 4
    • 0033131520 scopus 로고    scopus 로고
    • A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem
    • Maday Y, Patera AT, Peraire J. A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem. Comptes Rendus des seances de l'Academie des Sciences Paris Serie I 1999; 328:828-836.
    • (1999) Comptes Rendus des Seances de L'Academie des Sciences Paris Serie I , vol.328 , pp. 828-836
    • Maday, Y.1    Patera, A.T.2    Peraire, J.3
  • 5
    • 0003588847 scopus 로고    scopus 로고
    • A posteriori finite element bounds for linear-functional outputs of coercive partial differential equations and of the Stokes problems
    • Ph.D. Thesis, Department of Mechanical Engineering, Massachusetts Institute of Technology, October
    • Paraschivoiu M. A posteriori finite element bounds for linear-functional outputs of coercive partial differential equations and of the Stokes problems. Ph.D. Thesis, Department of Mechanical Engineering, Massachusetts Institute of Technology, October 1997.
    • (1997)
    • Paraschivoiu, M.1
  • 6
    • 0031443748 scopus 로고    scopus 로고
    • A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations
    • Paraschivoiu M, Peraire J, Patera AT. A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations. Computer Methods in Applied Mechanics and Engineering 1997; 150:289-312.
    • (1997) Computer Methods in Applied Mechanics and Engineering , vol.150 , pp. 289-312
    • Paraschivoiu, M.1    Peraire, J.2    Patera, A.T.3
  • 7
    • 0035922230 scopus 로고    scopus 로고
    • A posteriori finite element output bounds for the incompressible Navier-Stokes equations: Application to a natural convection problem
    • Machiels L, Peraire J, Patera AT. A posteriori finite element output bounds for the incompressible Navier-Stokes equations: application to a natural convection problem. Journal of Computational Physics 2001; 172:401-425.
    • (2001) Journal of Computational Physics , vol.172 , pp. 401-425
    • Machiels, L.1    Peraire, J.2    Patera, A.T.3
  • 8
    • 0037400178 scopus 로고    scopus 로고
    • Parallel computions of finite element output bounds for conjugate heat transfer
    • Cheng Z, Paraschivoiu M. Parallel computions of finite element output bounds for conjugate heat transfer. Finite Element in Analysis and Design 2003; 39/7:581-597.
    • (2003) Finite Element in Analysis and Design , vol.39 , Issue.7 , pp. 581-597
    • Cheng, Z.1    Paraschivoiu, M.2
  • 9
    • 0001585002 scopus 로고
    • Error esimation procedures in the finite element method and applications
    • Ladeveze P, Leguillon D. Error esimation procedures in the finite element method and applications. SIAM Journal on Numerical Analysis 1983; 20:485-509.
    • (1983) SIAM Journal on Numerical Analysis , vol.20 , pp. 485-509
    • Ladeveze, P.1    Leguillon, D.2
  • 10
    • 0000072213 scopus 로고
    • An unconventional domain decomposition method for efficient parallel solution of large-scale finite element systems
    • Farhat C, Roux F-X. An unconventional domain decomposition method for efficient parallel solution of large-scale finite element systems. SIAM Journal on Scientific and Statistical Computing 1992; 13(1):379-396.
    • (1992) SIAM Journal on Scientific and Statistical Computing , vol.13 , Issue.1 , pp. 379-396
    • Farhat, C.1    Roux, F.-X.2
  • 11
    • 0035850696 scopus 로고    scopus 로고
    • A posteriori finite element output bounds in three space dimensions using the FETI method
    • Paraschivoiu M. A posteriori finite element output bounds in three space dimensions using the FETI method. Computer Methods in Applied Mechanics and Engineering 2001; 190(49-50):6629-6640.
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , Issue.49-50 , pp. 6629-6640
    • Paraschivoiu, M.1
  • 12
    • 0034389093 scopus 로고    scopus 로고
    • Numerical analysis of a posteriori finite element bounds for linear-functional outputs
    • Maday Y, Patera AT. Numerical analysis of a posteriori finite element bounds for linear-functional outputs. Mathematical Models & Methods in Applied Science 2000; 10(5):785-799.
    • (2000) Mathematical Models & Methods in Applied Science , vol.10 , Issue.5 , pp. 785-799
    • Maday, Y.1    Patera, A.T.2
  • 17
    • 3843090708 scopus 로고
    • An a posteriori error estimate for finite element approximations of the Navier-Stokes equations
    • Oden JT, Wu W, Ainsworth M. An a posteriori error estimate for finite element approximations of the Navier-Stokes equations. TICOM Report 93-05, 1993.
    • (1993) TICOM Report 93-05
    • Oden, J.T.1    Wu, W.2    Ainsworth, M.3
  • 19
    • 9344241516 scopus 로고    scopus 로고
    • A posteriori finite element bounds: Application to outputs of the three dimensional Navier-Stokes equations
    • Ph.D. Thesis, Graduate Department of Mechanical and Industrial Engineering, University of Toronto, April
    • Cheng Z. A posteriori finite element bounds: application to outputs of the three dimensional Navier-Stokes equations. Ph.D. Thesis, Graduate Department of Mechanical and Industrial Engineering, University of Toronto, April 2003.
    • (2003)
    • Cheng, Z.1
  • 21
    • 0033878506 scopus 로고    scopus 로고
    • The second generation FETI methods and their application to parallel solution of the large-scale linear and geometrically non-linear structural analysis problems
    • Farhat C, Pierson K, Lesoinne M. The second generation FETI methods and their application to parallel solution of the large-scale linear and geometrically non-linear structural analysis problems. Computer Methods in Applied Mechanics and Engineering 2000; 184:333-374.
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.184 , pp. 333-374
    • Farhat, C.1    Pierson, K.2    Lesoinne, M.3
  • 22
    • 0026239487 scopus 로고
    • A method of finite tearing and interconnecting and its parallel solution algorithm
    • Farhat C, Roux F-X. A method of finite tearing and interconnecting and its parallel solution algorithm. Computer Methods in Applied Mechanics and Engineering 1991; 32:1205-1227.
    • (1991) Computer Methods in Applied Mechanics and Engineering , vol.32 , pp. 1205-1227
    • Farhat, C.1    Roux, F.-X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.