메뉴 건너뛰기




Volumn 67, Issue 1, 2001, Pages 13-33

Iterative stokes solvers in the harmonic Velte subspace

Author keywords

Conjugate gradients; Inf sup constants; Optimal iterative parameters; Stokes equations; Uzawa and Arrow Hurwitz iterations; Velte decomposition

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; GRADIENT METHODS; HARMONIC ANALYSIS; OPTIMIZATION;

EID: 0034880649     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006070170014     Document Type: Article
Times cited : (13)

References (48)
  • 7
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers
    • (1974) R.A.I.R.O. Anal. Numer. , vol.8 , pp. 129-151
    • Brezzi, F.1
  • 15
    • 0001707859 scopus 로고
    • Étude d'une méthode de linéarisation. Résolution numérique des équations Stokes stationnaires
    • (1974) Cah. l'INRIA , vol.12 , pp. 139-244
    • Crouzeix, M.1
  • 35
    • 0005729079 scopus 로고
    • Fast & robust solvers for time-discretised incompressible Navier-Stokes equations
    • Griffiths, D. F., Watson, G. A., eds., Pitman Research Notes in Maths., London: Longman
    • (1995) Numerical Analysis 1995 , vol.344 , pp. 154-168
    • Silvester, D.1    Wathen, A.J.2
  • 37
    • 0034459523 scopus 로고    scopus 로고
    • -Δ = -grad div + rot rot for matrices, with application to the finite element solution of the Stokes problem
    • (2000) East-West J. Numer. Math. , vol.8 , pp. 323-340
    • Stoyan, G.1
  • 40
    • 0001602584 scopus 로고    scopus 로고
    • On inequalities of Friedrichs and Babuška-Aziz
    • (1996) Meccanica , vol.31 , pp. 589-596
    • Velte, W.1
  • 41
    • 0348122341 scopus 로고    scopus 로고
    • On inequalities of Friedrichs and Babuška-Aziz in dimension three
    • (1998) ZAA , vol.17 , pp. 843-857
    • Velte, W.1
  • 42
    • 0021211404 scopus 로고
    • A combined conjugate gradient-multigrid algorithm for the numerical solution of the Stokes problem
    • (1984) IMA J. Numer. Anal. , vol.4 , pp. 441-455
    • Verfürth, R.1
  • 43
    • 0001855390 scopus 로고
    • A right inverse for the divergence operator in spaces of piecewise polynomials, Application to the p-version of the finite element method
    • (1983) Numer. Math. , vol.41 , pp. 19-37
    • Vogelius, M.1
  • 44
    • 0001584397 scopus 로고
    • Multi-grid methods for Stokes and Navier-Stokes equations. Transforming smoothers: Algorithms and numerical results
    • (1989) Numer. Math. , vol.54 , pp. 543-563
    • Wittum, G.1
  • 45
    • 0033461695 scopus 로고    scopus 로고
    • A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements
    • (1999) Math. Comp. , vol.68 , pp. 1347-1378
    • Wohlmut, B.I.1    Hoppe, R.H.W.2
  • 48


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.