메뉴 건너뛰기




Volumn 73, Issue 246, 2004, Pages 659-689

Substructuring preconditioners for the three fields domain decomposition method

Author keywords

Domain decomposition; Preconditioning; Stabilized methods; Three fields formulation

Indexed keywords


EID: 1642602545     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-03-01550-3     Document Type: Article
Times cited : (20)

References (18)
  • 1
    • 0001662357 scopus 로고    scopus 로고
    • Substructuring preconditioners for the mortar method in dimension two
    • MR 99m:65233
    • Y. Achdou, Y. Maday, and O. Widlund. Substructuring preconditioners for the mortar method in dimension two. SIAM J. Numer. Anal., 36:551-580, 1999. MR 99m:65233
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 551-580
    • Achdou, Y.1    Maday, Y.2    Widlund, O.3
  • 4
    • 0012917073 scopus 로고    scopus 로고
    • Analysis of a stabilized three fields domain decomposition method
    • I.A.N.-C.N.R
    • S. Bertoluzza. Analysis of a stabilized three fields domain decomposition method. Technical Report 1175, I.A.N.-C.N.R., 2000.
    • (2000) Technical Report , vol.1175
    • Bertoluzza, S.1
  • 5
    • 0034375557 scopus 로고    scopus 로고
    • Wavelet stabilization of the Lagrange multiplier method
    • MR 2001h:65142
    • S. Bertoluzza. Wavelet stabilization of the Lagrange multiplier method. Numer. Math., 86:1-28, 2000. MR 2001h:65142
    • (2000) Numer. Math. , vol.86 , pp. 1-28
    • Bertoluzza, S.1
  • 6
    • 0034436852 scopus 로고    scopus 로고
    • Stable discretization of convection-diffusion problems via computable negative order inner products
    • MR 2001m:65163
    • S. Bertoluzza, C. Canuto, and A. Tabacco. Stable discretization of convection-diffusion problems via computable negative order inner products. SINUM, 38:1034-1055, 2000. MR 2001m:65163
    • (2000) SINUM , vol.38 , pp. 1034-1055
    • Bertoluzza, S.1    Canuto, C.2    Tabacco, A.3
  • 7
    • 0034288803 scopus 로고    scopus 로고
    • Wavelet stabilization and preconditioning for domain decomposition
    • MR 2001h:65156
    • S. Bertoluzza and A. Kunoth. Wavelet stabilization and preconditioning for domain decomposition. I.M.A. Jour. Numer. Anal., 20:533-559, 2000. MR 2001h:65156
    • (2000) I.M.A. Jour. Numer. Anal. , vol.20 , pp. 533-559
    • Bertoluzza, S.1    Kunoth, A.2
  • 9
    • 84966199070 scopus 로고
    • The construction of preconditioners for elliptic problems by substructuring
    • MR 87m:65174
    • J. H. Bramble, J. E. Pasciak, and A. H. Schatz. The construction of preconditioners for elliptic problems by substructuring. Math. of Comp., 47(175): 103-134, 1986. MR 87m:65174
    • (1986) Math. of Comp. , vol.47 , Issue.175 , pp. 103-134
    • Bramble, J.H.1    Pasciak, J.E.2    Schatz, A.H.3
  • 10
    • 0034403952 scopus 로고    scopus 로고
    • Computational scales of Sobolev norms with application to preconditioning
    • MR 2000k:65088
    • J.H. Bramble, J.E. Pasciak, and P.S. Vassilevski. Computational scales of Sobolev norms with application to preconditioning. Math. Comp., 69:463-480, 2000. MR 2000k:65088
    • (2000) Math. Comp. , vol.69 , pp. 463-480
    • Bramble, J.H.1    Pasciak, J.E.2    Vassilevski, P.S.3
  • 13
    • 0035594451 scopus 로고    scopus 로고
    • Error estimates for the three-field formulation with bubble stabilization
    • MR 2002b:65159
    • F. Brezzi and D. Marini. Error estimates for the three-field formulation with bubble stabilization. Math. of Comp., 70:911-934, 2001. MR 2002b:65159
    • (2001) Math. of Comp. , vol.70 , pp. 911-934
    • Brezzi, F.1    Marini, D.2
  • 15
    • 0042161073 scopus 로고    scopus 로고
    • Numerical analysis of wavelet methods
    • P.G. Ciarlet and J.L. Lions, editors, Elsevier Science Publishers, North Holland, MR 2002c:65252
    • A. Cohen. Numerical analysis of wavelet methods. In P.G. Ciarlet and J.L. Lions, editors, Handbook in Numerical Analysis, volume VII. Elsevier Science Publishers, North Holland, 2000. MR 2002c:65252
    • (2000) Handbook in Numerical Analysis , vol.7
    • Cohen, A.1
  • 16
    • 33845592412 scopus 로고
    • Multilevel preconditioning
    • MR 93j:65065
    • W. Dahmen and A. Kunoth. Multilevel preconditioning. Numer. Math., 63:315-344, 1992. MR 93j:65065
    • (1992) Numer. Math. , vol.63 , pp. 315-344
    • Dahmen, W.1    Kunoth, A.2
  • 18
    • 21844510779 scopus 로고
    • Domain decomposition with nonmatching grids: Augmented Lagrangian approach
    • MR 95m:65212
    • P. Le Tallec and T. Sassi. Domain decomposition with nonmatching grids: Augmented Lagrangian approach. Math. Comp., 64:1367-1396, 1995. MR 95m:65212
    • (1995) Math. Comp. , vol.64 , pp. 1367-1396
    • Le Tallec, P.1    Sassi, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.