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Volumn 51, Issue 5 SPEC. ISS., 2006, Pages 805-816

Newton's method for the Navier-Stokes equations with finite-element initial guess of stokes equations

Author keywords

Convergence; Finite element method; Navier Stokes equations; Newton's method; Stokes equations

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; ESTIMATION; FINITE AUTOMATA; ITERATIVE METHODS; PROBLEM SOLVING; REYNOLDS NUMBER;

EID: 33745941003     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.03.007     Document Type: Article
Times cited : (13)

References (7)
  • 1
    • 0001229827 scopus 로고    scopus 로고
    • On Newton-Krylov multigrid methods for the incompressible Navier-Stokes equations
    • Knoll D.A., and Mousseau V.A. On Newton-Krylov multigrid methods for the incompressible Navier-Stokes equations. J. Comput. Phys. 163 (2000) 262-267
    • (2000) J. Comput. Phys. , vol.163 , pp. 262-267
    • Knoll, D.A.1    Mousseau, V.A.2
  • 2
    • 0033293109 scopus 로고    scopus 로고
    • A multigrid preconditioned Newton-Krylov Method
    • Knoll D.A., and Rider W. A multigrid preconditioned Newton-Krylov Method. SIAM J. Sci. Comput. 21 2 (1999) 691-702
    • (1999) SIAM J. Sci. Comput. , vol.21 , Issue.2 , pp. 691-702
    • Knoll, D.A.1    Rider, W.2
  • 3
    • 0036229223 scopus 로고    scopus 로고
    • A multigrid-preconditioned Newton-Krylov Method for the incompressible Navier-Stokes equations
    • Pernice M., and Tocci M.D. A multigrid-preconditioned Newton-Krylov Method for the incompressible Navier-Stokes equations. SIAM J. Sci. Comput. 23 2 (2001) 398-418
    • (2001) SIAM J. Sci. Comput. , vol.23 , Issue.2 , pp. 398-418
    • Pernice, M.1    Tocci, M.D.2
  • 5
    • 0002435262 scopus 로고
    • Finite-dimensional approximation of nonsingular problems. Part I: Branches of nonsingular solutions
    • Brezzi F., Rappaz J., and Raviart P.A. Finite-dimensional approximation of nonsingular problems. Part I: Branches of nonsingular solutions. Numer. Math. 36 (1980) 1-25
    • (1980) Numer. Math. , vol.36 , pp. 1-25
    • Brezzi, F.1    Rappaz, J.2    Raviart, P.A.3
  • 6
    • 0037596688 scopus 로고    scopus 로고
    • Error estimate and regularity for the compressible Navier-Stokes equations by Newton's method
    • Kim S.D., and Lee Y.H. Error estimate and regularity for the compressible Navier-Stokes equations by Newton's method. Numer. Methods P.D.E. (2003) 511-524
    • (2003) Numer. Methods P.D.E. , pp. 511-524
    • Kim, S.D.1    Lee, Y.H.2
  • 7
    • 0001408249 scopus 로고    scopus 로고
    • Analysis of velocity-flux least-squares principles for the Navier-Stokes equations. Part I
    • Bochev P.B., Cai Z., Manteuffel T.A., and McCormick S.F. Analysis of velocity-flux least-squares principles for the Navier-Stokes equations. Part I. SIAM J. Numer. Anal. 35 (1998) 990-1009
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 990-1009
    • Bochev, P.B.1    Cai, Z.2    Manteuffel, T.A.3    McCormick, S.F.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.