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Volumn 22, Issue 11, 1996, Pages 1041-1059

A non-linear adaptive tri-tree multigrid solver for finite element formulations of the Navier-Stokes equations

Author keywords

Adaptive solver; Analytic integration; Finite element; Grid generation; Mixed formulation; Multigrid; Navier Stokes equations; Tri tree; Unstructured grid

Indexed keywords

ADAPTIVE ALGORITHMS; APPROXIMATION THEORY; FINITE ELEMENT METHOD; HIERARCHICAL SYSTEMS; INTEGRATION; ITERATIVE METHODS; NONLINEAR EQUATIONS; TREES (MATHEMATICS);

EID: 0030165913     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(19960615)22:11<1041::AID-FLD386>3.0.CO;2-K     Document Type: Article
Times cited : (5)

References (9)
  • 1
    • 45149144830 scopus 로고
    • A new finite element formulation for computational fluid dynamics. VIII. the Galerkin/least-squares method for advective-diffusive equations
    • T. J. R. Hughes, L. P. Franca and G. M. Hulbert, 'A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations', Comput. Methods Appl. Mech. Eng., 73, 173-189 (1989).
    • (1989) Comput. Methods Appl. Mech. Eng. , vol.73 , pp. 173-189
    • Hughes, T.J.R.1    Franca, L.P.2    Hulbert, G.M.3
  • 2
    • 0026416606 scopus 로고
    • Finite element modeling of quasi-three dimensional nearly horizontal flow
    • T. Utnes, 'Finite element modeling of quasi-three dimensional nearly horizontal flow', Int. j. numer. methods fluids, 12, 559-576 (1991).
    • (1991) Int. J. Numer. Methods Fluids , vol.12 , pp. 559-576
    • Utnes, T.1
  • 3
    • 0021365785 scopus 로고
    • Numerical simulations of steady flow inside a three dimensional aortic bifurcation model
    • S. Ø. Wille, 'Numerical simulations of steady flow inside a three dimensional aortic bifurcation model', J. Biomed. Eng., 6, 49-55 (1984).
    • (1984) J. Biomed. Eng. , vol.6 , pp. 49-55
    • Wille, S.Ø.1
  • 4
    • 0024089329 scopus 로고
    • A partitioning scheme and iterative solution for sparse bordered systems
    • E. Barragy and G. F. Carey, 'A partitioning scheme and iterative solution for sparse bordered systems', Comput. Methods Appl. Mech. Eng., 70, 321-327 (1988).
    • (1988) Comput. Methods Appl. Mech. Eng. , vol.70 , pp. 321-327
    • Barragy, E.1    Carey, G.F.2
  • 5
    • 0026918640 scopus 로고
    • An ILU preconditioner with coupled node fill-in for iterative solution of the mixed finite element formulation of the 2-D and 3-D Navier-Stokes equations
    • O. Dahl and S. Ø. Wille, 'An ILU preconditioner with coupled node fill-in for iterative solution of the mixed finite element formulation of the 2-D and 3-D Navier-Stokes equations', Int. j. numer. methods fluids, 15, 525-544 (1992).
    • (1992) Int. J. Numer. Methods Fluids , vol.15 , pp. 525-544
    • Dahl, O.1    Wille, S.Ø.2
  • 6
    • 0019559785 scopus 로고
    • Pulsatile pressure and flow in arterial aneurysm simulated in a mathematical model
    • S. Ø. Wille, 'Pulsatile pressure and flow in arterial aneurysm simulated in a mathematical model', J. Biomed. Eng., 3, 153-158 (1981).
    • (1981) J. Biomed. Eng. , vol.3 , pp. 153-158
    • Wille, S.Ø.1
  • 7
    • 0028450254 scopus 로고
    • A preconditioned alternating inner-outer iterative solution method for the mixed finite element formulation of the navier-stokes equations
    • S. Ø. Wille, 'A preconditioned alternating inner-outer iterative solution method for the mixed finite element formulation of the Navier-Stokes equations', Int. j. numer. methods fluids, 18, 1135-1151 (1994).
    • (1994) Int. J. Numer. Methods Fluids , vol.18 , pp. 1135-1151
    • Wille, S.Ø.1
  • 9
    • 0016873451 scopus 로고
    • Orthomin, an iterative method for solving sparse sets of simultaneous linear equations
    • Society of Petroleum Engineers of AIME, New York
    • P. K. W. Vinsome, 'Orthomin, an iterative method for solving sparse sets of simultaneous linear equations', Proc. Fourth Symp. on Reservoir Simulation, Society of Petroleum Engineers of AIME, New York, 1976, pp. 147-159.
    • (1976) Proc. Fourth Symp. on Reservoir Simulation , pp. 147-159
    • Vinsome, P.K.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.