메뉴 건너뛰기




Volumn 93, Issue 4, 2003, Pages 611-634

Analysis of a stabilized three-fields domain decomposition method

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0242556719     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110100340     Document Type: Article
Times cited : (12)

References (17)
  • 1
    • 0001662357 scopus 로고    scopus 로고
    • Substructuring preconditioners for the mortar method in dimension two
    • Y. Achdou, Y. Maday, O. Widlund: Substructuring preconditioners for the mortar method in dimension two. SIAM J. Numer. Anal. 36, 551-580 (1999)
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 551-580
    • Achdou, Y.1    Maday, Y.2    Widlund, O.3
  • 2
    • 0001747884 scopus 로고
    • Une méthode d'éléments finis hybrides en décomposition de domaines
    • 2 AN 29, 749-764 (1995)
    • (1995) 2 AN , vol.29 , pp. 749-764
    • Agouzal, A.1    Thomas, J.M.2
  • 4
    • 0002336587 scopus 로고
    • A new nonconforming approach to domain decomposition: The mortar element method
    • H. Brezis & J.-L. Lions eds., editor, Nonlinear Partial Differential Equations and their Applications, Collège de France Seminar
    • C. Bernardi, Y. Maday, A.T. Patera: A new nonconforming approach to domain decomposition: The mortar element method. In H. Brezis & J.-L. Lions eds., editor, Nonlinear Partial Differential Equations and their Applications, Collège de France Seminar, volume XI of Notes Math. Ser. 299, pages 13-51. 1994
    • (1994) Notes Math. Ser. 299 , vol.11 , pp. 13-51
    • Bernardi, C.1    Maday, Y.2    Patera, A.T.3
  • 5
    • 0000102411 scopus 로고    scopus 로고
    • Stabilization by multiscale decomposition
    • S. Bertoluzza: Stabilization by multiscale decomposition. Appl. Math. Lett. 11(6), 129-134 (1998)
    • (1998) Appl. Math. Lett. , vol.11 , Issue.6 , pp. 129-134
    • Bertoluzza, S.1
  • 6
    • 0242524329 scopus 로고    scopus 로고
    • Substructuring preconditioners for the three fields domain decomposition method
    • I.A.N.-C.N.R.
    • S. Bertoluzza: Substructuring preconditioners for the three fields domain decomposition method. Technical Report 1192, I.A.N.-C.N.R., 2000
    • (2000) Technical Report , vol.1192
    • Bertoluzza, S.1
  • 7
    • 0034436852 scopus 로고    scopus 로고
    • Stable discretization of convection-diffusion problems via computable negative order inner products
    • S. Bertoluzza, C. Canuto, A. Tabacco: Stable discretization of convection-diffusion problems via computable negative order inner products. SINUM 38, 1034-1055 (2000)
    • (2000) SINUM , vol.38 , pp. 1034-1055
    • Bertoluzza, S.1    Canuto, C.2    Tabacco, A.3
  • 8
    • 0034288803 scopus 로고    scopus 로고
    • Wavelet stabilization and preconditioning for domain decomposition
    • S. Bertoluzza, A. Kunoth: Wavelet stabilization and preconditioning for domain decomposition. I.M.A. Jour. Numer. Anal. 20, 533-559 (2000)
    • (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
    • J.H. Bramble, J.E. Pasciak, A.H. Schatz: The construction of preconditioners for elliptic problems by Substructuring. Math. of Comp. 47(175), 103-134 (1986)
    • (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
    • J.H. Bramble, J.E. Pasciak, P.S. Vassilevski: Computational scales of Sobolev norms with application to preconditioning. Math. Comp. 69, 463-480 (2000)
    • (2000) Math. Comp. , vol.69 , pp. 463-480
    • Bramble, J.H.1    Pasciak, J.E.2    Vassilevski, P.S.3
  • 13
    • 0042467521 scopus 로고    scopus 로고
    • Error estimates for the three-field formulation with bubble stabilization
    • to appear
    • F. Brezzi, D. Marini: Error estimates for the three-field formulation with bubble stabilization. Math. of Comp. (to appear)
    • Math. of Comp.
    • Brezzi, F.1    Marini, D.2
  • 14
    • 0000389065 scopus 로고
    • A three-field domain decomposition method
    • A. Quarteroni, J. Periaux, Y.A. Kuznetsov, O.B. Widlund, editors, Domain Decomposition Methods in Science and Engineering
    • F. Brezzi, D. Marini: A three-field domain decomposition method. In A. Quarteroni, J. Periaux, Y.A. Kuznetsov, O.B. Widlund, editors, Domain Decomposition Methods in Science and Engineering volume 157 of American Mathematical Society, Contemporary Mathematics, pages 27-34, 1994
    • (1994) American Mathematical Society, Contemporary Mathematics , vol.157 , pp. 27-34
    • Brezzi, F.1    Marini, D.2
  • 16
    • 0013673505 scopus 로고
    • A domain decomposition preconditioner with reduced rank interdomain coupling
    • M.R. Dorr: A domain decomposition preconditioner with reduced rank interdomain coupling. Appl. Numer. Math. 1991
    • (1991) Appl. Numer. Math.
    • Dorr, M.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.