메뉴 건너뛰기




Volumn 49, Issue 1, 2004, Pages 97-116

A parallel solver for PDE systems and application to the incompressible Navier-Stokes equations

Author keywords

Domain decomposition; Incompressible Navier Stokes equations; Parallel iterative methods; Partial differential equations

Indexed keywords

COMPUTER SOFTWARE; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; ITERATIVE METHODS; NAVIER STOKES EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SYSTEM STABILITY;

EID: 1542320104     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2003.11.015     Document Type: Conference Paper
Times cited : (4)

References (22)
  • 1
    • 1542325726 scopus 로고    scopus 로고
    • Robust additive Schwarz methods on unstructured grids, domain decomposition in science and engineering
    • P. Bjørstad, M. Espedal, & D. Keyes, Bergen New York: Wiley
    • Bjørstad P.E., Dryja M., Vainikko E. Robust additive Schwarz methods on unstructured grids, domain decomposition in science and engineering. Bjørstad P., Espedal M., Keyes D. Proceedings from the 9th International Conference on Domain Decomposition Methods, Bergen. 1997;97-605 Wiley, New York.
    • (1997) Proceedings from the 9th International Conference on Domain Decomposition Methods , pp. 97-605
    • Bjørstad, P.E.1    Dryja, M.2    Vainikko, E.3
  • 2
    • 0030547401 scopus 로고    scopus 로고
    • Overlapping Schwarz methods on unstructured meshes using non-matching coarse grids
    • Chan T.F., Smith B., Zou J. Overlapping Schwarz methods on unstructured meshes using non-matching coarse grids. Numer. Math. 73:1996;149-167.
    • (1996) Numer. Math. , vol.73 , pp. 149-167
    • Chan, T.F.1    Smith, B.2    Zou, J.3
  • 3
    • 0013079987 scopus 로고    scopus 로고
    • Parallel computation of flow in heterogeneous media modelled by mixed finite elements
    • Cliffe K.A., Graham I.G., Scheichl R., Stals L. Parallel computation of flow in heterogeneous media modelled by mixed finite elements. J. Comput. Phys. 164:2000;258-282.
    • (2000) J. Comput. Phys. , vol.164 , pp. 258-282
    • Cliffe, K.A.1    Graham, I.G.2    Scheichl, R.3    Stals, L.4
  • 4
    • 85095811894 scopus 로고    scopus 로고
    • The numerical analysis of bifurcation problems with application to fluid mechanics
    • Cliffe K.A., Spence A., Tavener S.J. The numerical analysis of bifurcation problems with application to fluid mechanics. Acta Numer. 2000;39-131.
    • (2000) Acta Numer. , pp. 39-131
    • Cliffe, K.A.1    Spence, A.2    Tavener, S.J.3
  • 5
    • 0001946784 scopus 로고    scopus 로고
    • A combined unifrontal/multifrontal method for unsymmetric sparse matrices
    • Davis T.A., Duff I.S. A combined unifrontal/multifrontal method for unsymmetric sparse matrices. ACM Trans. Math. Software. 25:(1):1999;1-19.
    • (1999) ACM Trans. Math. Software , vol.25 , Issue.1 , pp. 1-19
    • Davis, T.A.1    Duff, I.S.2
  • 6
    • 0033279287 scopus 로고    scopus 로고
    • Preconditioning for the steady-state Navier-Stokes equations with low viscosity
    • Elman H.C. Preconditioning for the steady-state Navier-Stokes equations with low viscosity. SIAM J. Sci. Comput. 20:1999;1299-1316.
    • (1999) SIAM J. Sci. Comput. , vol.20 , pp. 1299-1316
    • Elman, H.C.1
  • 7
    • 0002160502 scopus 로고    scopus 로고
    • Fast nonsymmetric iterations and preconditioning for Navier-Stokes equations
    • Elman H.C., Silvester D.J. Fast nonsymmetric iterations and preconditioning for Navier-Stokes equations. SIAM J. Sci. Comput. 17:1996;33-46.
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 33-46
    • Elman, H.C.1    Silvester, D.J.2
  • 9
    • 1542355810 scopus 로고    scopus 로고
    • Parallel iterative methods for Navier-Stokes equations and application to stability assessment
    • B. Monien, & R. Feldmann. Berlin: Springer, EupoPar2002 Parallel Processing
    • Graham I.G., Spence A., Vainikko E. Parallel iterative methods for Navier-Stokes equations and application to stability assessment. Monien B., Feldmann R. EupoPar2002 Parallel Processing. Lecture Notes in Comput. Sci. vol. 2400:2002;Springer, Berlin.
    • (2002) Lecture Notes in Comput. Sci. , vol.2400
    • Graham, I.G.1    Spence, A.2    Vainikko, E.3
  • 10
    • 0141526322 scopus 로고    scopus 로고
    • Parallel iterative methods for Navier-Stokes equations and application to eigenvalue calculation
    • Graham I.G., Spence A., Vainikko E. Parallel iterative methods for Navier-Stokes equations and application to eigenvalue calculation. Concurrency and Computation: Practice and Experience. 15:2003;1151-1168.
    • (2003) Concurrency and Computation: Practice and Experience , vol.15 , pp. 1151-1168
    • Graham, I.G.1    Spence, A.2    Vainikko, E.3
  • 12
    • 22444453071 scopus 로고    scopus 로고
    • Automatic domain decomposition on unstructured grids DOUG
    • Hagger M.J. Automatic domain decomposition on unstructured grids DOUG. Adv. Comput. Math. 9:1998;281-310.
    • (1998) Adv. Comput. Math. , vol.9 , pp. 281-310
    • Hagger, M.J.1
  • 14
    • 0141624281 scopus 로고    scopus 로고
    • A Green's function preconditioner for the steady-state Navier-Stokes equations
    • D. Kay, D. Loghin, A Green's function preconditioner for the steady-state Navier-Stokes equations, Oxford Numerical Analysis Group Research Report NA-99/06, 1999.
    • (1999) Oxford Numerical Analysis Group Research Report , vol.NA-99-06
    • Kay, D.1    Loghin, D.2
  • 15
    • 0037250656 scopus 로고    scopus 로고
    • A preconditioner for the steady-state Navier-Stokes equations
    • Kay D., Loghin D., Wathen A. A preconditioner for the steady-state Navier-Stokes equations. SIAM J. Sci. Comput. 24:2002;237-256.
    • (2002) SIAM J. Sci. Comput. , vol.24 , pp. 237-256
    • Kay, D.1    Loghin, D.2    Wathen, A.3
  • 18
    • 0001885411 scopus 로고
    • Algebraic multigrid
    • S.F. McCormick. Philadelphia, PA: SIAM, Multigrid Methods
    • Ruge J.W., Stüben K. Algebraic multigrid. McCormick S.F. Multigrid Methods. Frontiers Appl. Math. vol. 4:1987;73-130 SIAM, Philadelphia, PA.
    • (1987) Frontiers Appl. Math. , vol.4 , pp. 73-130
    • Ruge, J.W.1    Stüben, K.2
  • 19
    • 0000954680 scopus 로고
    • A flexible inner-outer preconditioned GMRES algorithm
    • Saad Y. A flexible inner-outer preconditioned GMRES algorithm. SIAM J. Sci. Comput. 14:1993;461-469.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 461-469
    • Saad, Y.1
  • 20
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Saad Y., Schultz M. GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Statist. Comput. 7:1986;856-869.
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.2
  • 21
    • 0035281553 scopus 로고    scopus 로고
    • Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow
    • Silvester D., Elman H., Kay D., Wathen A. Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow. J. Comput. Appl. Math. 128:2001;261-279.
    • (2001) J. Comput. Appl. Math. , vol.128 , pp. 261-279
    • Silvester, D.1    Elman, H.2    Kay, D.3    Wathen, A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.